AP_Stat_Final

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American Jewish University *

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001

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Statistics

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Feb 20, 2024

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 1/51 Date: Student Name/ID#: Total Score: / Statistics A Final (Chapters 1-7) INSTRUCTIONS: This is a INDIVIDUAL ASSESSMENT. You are not to work together in your group for this assignment. You are only allowed to look at THIS website (Schoology) and you are only allowed to use THIS screen. If your screen(s) are on another website or app (even a calculator website or app) or if you are using another screen, your quiz will be marked with ZERO points. There are NO WARNINGS and NO SECOND CHANCES /1 QUESTION 1 Mrs. Barnes records the values of several variables for each student in her class. These include the variables listed below. Which of these variables is categorical? final grade for the course ( A, B, C, D, or F ) A amount of time, in minutes, spent studying for the final exam B the number of lectures the student missed C score on the final exam ( out of 200 points ) D the total number of points earned in the class ( i.e., the total of the points on all exams and quizzes in the course; the maximum number of points possible is 500 ) E /1 QUESTION 2

12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 2/51 The bar graph below summarizes responses of dog owners to the question, “Where in the car do you let your dog ride?” Which of the following statements is true? The vertical scale of this graph exaggerates the difference between the percentage who let their dogs ride in the driver’s lap versus a passenger’s lap. A Each owner gave only one answer to the question. B A majority of owners do not allow their pets to ride in the front passenger seat. C Roughly twice as many pets are allowed to sit in the front passenger seat as in the passenger’s lap. D These data could also be presented in a pie chart. E /1 QUESTION 3

12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 3/51 Below is a two-way table summarizing the number of cylinders in selected car models manufactured in six different countries. From this table, we might conclude that all the cars on Italian roads have four cylinders. A there is a strong association between country of origin and number of cylinders. B these data could be more effectively presented with a boxplot. C the only eight cylinder cars in this data set were manufactured in Germany. D about 18% of the cars sold in the United States were manufactured in Japan. E /1 QUESTION 4 The standard deviation of 16 peoples’ weights ( in pounds ) is computed to be 5.4. What is the variance of these measurements? 21.6 A 256 B 2.24 C 29.16 D 52.34 E /1 QUESTION 5

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 4/51 There are 10 students in Mrs. Meizius’s afternoon Statistics class. The maximum point total for the most recent quarter was 200 points. The point totals for the 10 students are given in the stemplot below. Based upon the shape of the stemplot, we can conclude that the standard deviation is greater than the mean. A the mean is greater than the median. B the mean is less than the median. C the standard deviation is greater than the range. D the standard deviation is greater than the median. E /1 QUESTION 6 Mrs. Temple has just finished grading a quiz for a class of 26 students and has calculated measures of center and spread on the scores. While writing the grades on the quizzes, she realizes she made a mistake, and the highest grade should be 10 points higher. Which one of the following sets of measurements will he have to recalculate? the mean and median A the median and interquartile range B the interquartile range and standard deviation C the mean, standard deviation, and interquartile range D the mean and standard deviation E /1 QUESTION 7 The five - number summary for the weights ( in grams ) of 1200 tomatoes grown in a certain greenhouse is 90, 113.5, 140, 161, and 236. How many tomatoes weighed less than 161 grams? 140 A 600 B 900 C 300 D 236 E

12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 5/51 /1 QUESTION 8 The five-number summary of the distribution of scores on the final exam in Psych 001 last semester was: 18, 39, 62, 76, and 100. Which of the following best describes the location of the 80th percentile? The 80th percentile is 76. A The 80th percentile is between 76 and 100. B The 80th percentile is between 18 and 39. C The 80th percentile is between 62 and 76. D The 80th percentile is between 39 and 76. E /1 QUESTION 9 An ecologist who was studying starfish populations collected starfish of the species Pisaster was interested in the distribution of sizes of starfish on a certain shoreline. One measure of size is “arm length.” Below is a cumulative relative frequency distribution for the arm length, in centimeters, of 102 Pisaster individuals. The Pisaster arm length of a particular starfish is 15.20 cm. Is this starfish unusually large? no, this star fish is approximately at the 15.20th percentile for Pisaster arm length. A yes, this star fish is approximately at the 90th percentile for Pisaster arm length. B yes, this star fish is approximately at the 50th percentile for Pisaster arm length. C yes, this star fish is approximately at the 15.20th percentile for Pisaster arm length. D no, this star fish is approximately at the 50th percentile for Pisaster arm length. E /1

12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 6/51 /1 QUESTION 10 A sample was taken of the salaries of 20 employees of a large company. The following are the salaries ( in thousands of dollars ) for this year. 28 31 34 35 37 41 42 42 42 47 49 51 52 52 60 61 67 72 75 77 Suppose each employee in the company receives a $3,000 raise for next year ( each employee's salary is increased by $3,000 ) . The standard deviation of the salaries for the employees will increase by A decrease by $3,000 B increase by $3,000 C be unchanged D be multiplied by $3,000 E /1 QUESTION 11 You can roughly locate the mean of a density curve by eye because it is the point where the curvature changes direction A the point at which the height of the graph is equal to 1 B the point that divides the area under the curve into two equal parts C the point at which the curve would balance if made of solid material D the point at which the curve reaches its peak E /1 QUESTION 12 Suppose that 16 - ounce bags of chocolate chip cookies are produced with weights that follow a Normal distribution with mean weight 16.1 ounces and standard deviation 0.1 ounce. Approximately what percent of the bags will likely be underweight ( that is, less than 16 ounces ) ? 10% A 64% B 32% C 16% D none of these E /1

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 7/51 /1 QUESTION 13 The five - number summary for the weights ( in grams ) of 1200 tomatoes grown in a certain greenhouse is 90, 113.5, 140, 161, and 236. The mean weight of the tomatoes is 143 grams and the standard deviation is 35 grams. If the weights are Normally distributed, approximately how many tomatoes weight between 73 grams and 178 grams? 384 A 816 B 1140 C 600 D 978 E /1 QUESTION 14 When a basketball player makes a pass to a teammate who then scores, he earns an “assist.” Below is a Normal probability plot for the number of assists earned by all players in the National Basketball Association during the 2010 regular season. Which of the following statements about the shape of this distribution is true? The distribution is Normal A The distribution has no potential outliers B The distribution is roughly symmetric C The distribution is skewed D The distribution is approximately Normal E /1 QUESTION 15

12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 8/51 A study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil. The response variable in this study is the experimenter A soil B amount of fertilizer applied to the soil C yield of the crop D amount of rainfall E /1 QUESTION 16 Consider the following scatterplot, which describes the relationship between stopping distance ( in feet ) and air temperature ( in degrees Celsius ) for a certain 2,000 - pound car traveling 40 mph. The correlation between temperature and stopping distance is approximately –0.6 A is approximately 0.0 B is approximately 0.9 C is approximately 0.6 D cannot be calculated, because some of the x values are negative E /1 QUESTION 17

12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 9/51 All but one of the following statements contains an error. Which statement could be correct? The correlation between mid - August soil moisture and the per - acre yield of tomatoes is r = 0.53 A The correlation between the distance travelled by a hiker and the time spent hiking is r = 0.9 meters per second B There is a correlation of 0.54 between the position a football player plays and his weight C We found a high correlation between the height and age of children: r = 1.12 D We found a correlation of r = –0.63 between gender and political party preference E /1 QUESTION 18 One concern about the depletion of the ozone layer is that the increase in ultraviolet ( UV ) light will decrease crop yields. An experiment was conducted in a green house where soybean plants were exposed to varying levels of UV, measured in Dobson units. At the end of the experiment the yield ( kg ) was measured. A regression analysis was performed with the following results: Which of the following is correct? If the UV value increases by 1 Dobson unit, the yield is expected to decrease by 0.0463 kg A If the UV value increases by 1 Dobson unit, the yield is expected to increase by 0.0463 kg B The predicted yield is 4.3 kg when the UV value is 20 Dobson units C If the yield increases by 1 kg, the UV value is expected to decrease by 0.0463 Dobson units D None of the these is correct E /1 QUESTION 19

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 10/51 Suppose we fit a least - squares regression line to a set of data. What is true if a plot of the residuals shows a curved pattern? The correlation must be 0 A A straight line is not a good model for the data B Outliers must be present C The regression line might or might not be a good model for the data, depending on the extent of the curve D The correlation must be positive E /1 QUESTION 20 Below is the computer output for a least - squares regression of y = protein ( in grams ) and x = calories for 16 different sandwiches produced by a major sandwich franchise. Which of the following best describes what S = 5.723 represents? 5.723% of the variability in protein content of the sandwiches can be accounted for by the regression of protein content on calories content A The typical distance between the observed protein content for each type of sandwich and the mean protein content is 5.723 grams B When using this regression to predict protein content from calories content, we will typically be off by about 5.723 grams C The typical distance between the observed calorie content for each type of sandwich and the mean calories content is 5.723 calories D For each one - unit increase in calorie content, the predicted protein content increases by an average of 5.723 grams E /1 QUESTION 21

12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 11/51 A researcher wishes to study how the average weight y ( in kilograms ) of children changes during the first year of life. He plots these averages versus the age x ( in months ) and decides to fit a least - squares regression line to the data with x as the explanatory variable and y as the response variable. He computes the following quantities. What is the slope of the least - squares regression line? 0.30 A 0.88 B 2.7 C 3.0 D 1.01 E /1 QUESTION 22 Mrs. De La Fe, a sportswriter, wants to know how strongly Orlando residents support the professional baseball team, the Orlando Rays. She stands outside the stadium before a game and interviews the first 20 people who enter the stadium. The intended population for this survey is all American adults A the 20 people who gave the sportswriter their opinion B all residents of Orlando C all people attending the game the day the survey was conducted D all Orlando Ray baseball fans E /1 QUESTION 23 Simple random sampling ... reduces bias resulting from undercoverage and nonresponse A reduces bias resulting from poorly worded questions B reduces bias resulting from the behavior of the interviewer C none of these D reduces variability E /1

12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 12/51 QUESTION 24 Mrs. Kerns plan to give a math achievement test to samples of 15 year - olds students from both the U.S. and Korea in order to compare mathematics knowledge in the two countries. In each country, she will randomly choose 300 students from low - income families, 400 students from middle - income families, and 200 students from high - income families. The sample from Korea is a voluntary response sample A a simple random sample B a biased sample C a stratified random sample D a convenience sample E /1 QUESTION 25 Does caffeine improve exam performance? Suppose all students in the 8:30 section of a course are given a "treatment" ( two cups of coffee ) and all students in the 9:30 section are not permitted to have any caffeine before a mid - term exam. The response variable in this study is two cups of coffee A exam performance B the time the class is held C teacher's performance D class attendance E /1 QUESTION 26 The principle reason for the use of controls in designing experiments is that it distinguishes a treatment effect from the effects of confounding variables A eliminates the placebo effect B creates approximately equal groups for comparison C reduces sampling variability D allows double - blinding E /1 QUESTION 27

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 13/51 A psychologist studying the effects of “positive thinking” on cognitive ability designs the following study: 120 male volunteers are divided into two groups by random assignment. Eighty female volunteers are randomly divided into two groups of 40 by the same method. One group of 60 males and 40 females is asked to write down three things they feel that they are good at doing. The other group of 60 males and 40 females is asked to write down what they ate for breakfast. All 100 subjects then take a SAT Math practice test, and the means for the two groups are compared. Which of the following is a correct description of this study? A stratified random experiment A An observational study B A matched pairs experiment C A completely randomized experiment D A randomized block experiment E /1 QUESTION 28 The Hemlock Woolly Adelgid is an insect that has accidentally been released in Eastern U.S. forests from Asia. Because it has no natural enemies in the U.S., it is spreading rapidly. A forester studying the abundance of the insect in southern Vermont wants to determine if it has spread that far north. He randomly selects 200 hemlock trees in a large Vermont forest and finds that 46 of them show signs of damage from this insect. To which of the following groups of trees would it be appropriate to generalize the results of the study? All trees in southern Vermont A The 200 hemlock trees that were randomly selected B All hemlock trees in southern Vermont C All hemlock trees in the forest from which the 200 trees were selected D All hemlock trees in the United States E /1 QUESTION 29 The probability of any outcome of a random phenomenon is the precise degree of randomness present in the phenomenon A the proportion of times the outcome occurs in a very long series of repetitions B any number as long as it is greater than 0 and less than 1 C none of these D either 0 or 1, depending on whether or not the phenomenon can actually occur or not E /1

12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 14/51 /1 QUESTION 30 Mr. Yoder has collected data on the number of occupants of cars travelling on the road past his house for the past week. Based on his data, he has constructed a probability model for the number of occupants of a randomly - selected car on his street. Which of the following could be his model? number of occupant s 1 2 3 4 5 or mor e probabilit y 0. 6 0. 6 0. 2 0. 1 0.05 A number of occupant s 1 2 3 4 5 or mor e probabilit y 1/ 2 1/ 4 1/ 4 1/ 8 1/8 B number of occupan ts 1 2 3 4 5 or mor e probabili ty 0. 5 0. 2 5 0. 1 5 0. 0 6 0.04 C number of occupant s 1 2 3 4 5 or mor e probabili ty 0. 5 0. 2 0. 1 0. 0 5 0.05 D number of occupants 1 2 3 4 5 or more probabilit y 2 1 0. 1 0. 1 0.4 E /1 QUESTION 31 The security system in a house has two units that set off an alarm when motion is detected. Neither one is entirely reliable, but one or both always go off when there is motion anywhere in the house. Suppose that for motion in a certain location, the probability that detector A goes off and detector B does not go off is 0.25, and the probability that A does not go off is 0.35. What is the probability that B goes off? 0.1 A 0.75 B 0.65 C 0.35 D 0.4 E /1 QUESTION 32

12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 15/51 Pat and Diane are applying for summer jobs at a local restaurant. After interviewing them, the restaurant owner says, “The probability that I hire Pat is 0.7, and the probability that I hire Diane is 0.4. The probability that I hire at least one of you is 0.9.” What is the probability that both Pat and Diane get hired? 0.28 A 0.2 B 0.3 C 1.1 D 0.1 E /1 QUESTION 33 The following table compares the hand dominance of 200 Canadian high - school students and what methods they prefer using to communicate with their friends. Suppose one student is chosen randomly from this group of 200. What is the probability that the student chosen is left - handed or prefers to communicate with friends in person? 0.17 A 0.595 B 0.065 C 0.53 D 0.425 E /1 QUESTION 34 The following table compares the hand dominance of 200 Canadian high - school students and what methods they prefer using to communicate with their friends. Suppose one student is chosen randomly from this group of 200. Which of the following statements supports the conclusion that the event “Right - handed” and the event “Online” are not independent? 60/166≠ 166/200 A 166/200 ≠ 60/200 B 51/60 ≠ 166/200 C 9/34 ≠ 166/200 D 51/200 ≠ 34/60 E

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 16/51 /1 QUESTION 35 In a particular game, a fair die is tossed. If the number of spots showing is either four or five, you score 1 point. If the number of spots showing is six, you score 4 points. And if the number of spots showing is one, two, or three, you score 0. You are going to play the game twice. What is the probability that you score at least 1 point both times? 3/4 A 1/36 B 4/46 C 1/4 D 1/2 E /1 QUESTION 36 An ecologist studying starfish populations collects the following data on randomly selected 1-meter by 1-meter plots on a rocky coastline. -The number of starfish in the plot. -The total weight of starfish in the plot. -The percentage of area in the plot that is covered by barnacles (a popular food for starfish). -Whether or not the plot is underwater midway between high and low tide. How many of these measurements are continuous random variables and how many are discrete random variables? two continuous, two discrete A three continuous, one discrete B one continuous, three discrete C one continuous, two discrete, and a fourth that cannot be treated as a random variable D two continuous, one discrete, and a fourth that cannot be treated as a random variable E /1 QUESTION 37

12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 17/51 In a certain population of students, the number of calculators a student owns is a random variable X described by the following probability distribution: Number of calculators x 0 1 2 Probability p 0.2 0.6 0.2 Which of the following is the mean of X? i i 0.5 A 2 B 1.2 C The answer cannot be computer from the information given D 1 E /1 QUESTION 38 The probability distribution of a continuous random variable X is given by the density curve below. What is the probability that X is between 0.5 and 1.5? 1/3 A 1 B 1/4 C 1/2 D 3/4 E /1 QUESTION 39

12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 18/51 Capital Car Wash sells a membership card for $25 per year that entitles the buyer to a $2 discount on each car wash purchased during the year. The number of times Danica washes her car has a mean of 15 with standard deviation of 4. Which of the following gives the correct mean and standard deviation of the amount of money Danica would save if she buys a membership card? Mean = $30; Standard deviation = $8 A There is not enough information to determine both values B Mean = $5; Standard deviation = $8 C Mean = $5; Standard deviation = $4 D Mean = $30; Standard deviation = $4 E /1 QUESTION 40 Sulé’s job is just a few bus stops away from his house. While it can be faster to take the bus to work, it’s more variable, because of variations in traffic. He estimates that the commute time to work by bus is approximately Normally distributed with a mean of 12 minutes and a standard deviation of 4 minutes. The commute time if he walks to work is also approximately Normally distributed with a mean of 16 minutes with a standard deviation of 1 minute. What is the probability that the bus will be faster than walking? 0.9896 A 0.8340 B 0.8980 C 0.9756 D 0.8485 E /1 QUESTION 41 A worn out bottling machine does not properly apply caps to 5% of the bottles it fills. If you randomly select 20 bottles from those produced by this machine, what is the approximate probability that between 2 and 6 ( inclusive ) caps have been improperly applied? 0.38 A 0.26 B 0.92 C 0.74 D 0.19 E /1 QUESTION 42

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 19/51 You are stuck at the Vince Lombardi rest stop on the New Jersey Turnpike with a dead battery. To get on the road again, you need to find someone with jumper cables that connect the batteries of two cars together so you can start your car again. Suppose that 16% of drivers in New Jersey carry jumper cables in their trunk. You begin to ask random people getting out of their cars if they have jumper cables. On average, how many people do you expect you will have to ask until you find someone with jumper cables? 16 A 6.25 B 1.6 C 2 D 6 E /1 QUESTION 43 There are twenty multiple - choice questions on an exam, each having responses a, b, c, or d. Each question is worth five points and only one option per question is correct. Suppose the student guesses the answer to each question, and the guesses from question to question are independent. The distribution of X = the number of questions the student will get correct, is binomial with parameters n = 5 and p = 0.25 A none of these B binomial with parameters n = 5 and p = 0.2 C binomial with parameters n = 20 and p = 0.25 D binomial with parameters n = 4 and p = 0.25 E /1 QUESTION 44

12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 20/51 The dotplot below gives an approximate sampling distribution for the proportion of red marbles in a jar. One hundred SRS of size n = 16 were selected from the jar ( with replacement and mixing ) and the proportion of red marbles was recorded each time. Based upon the dotplot, which of the following is the least likely value of the population proportion of red marbles in the jar? 0.3 A 0.1 B 0.5 C 0.9 D 0.7 E /1 QUESTION 45 Below are dot plots of the values taken by three different statistics estimating the same parameter in 30 samples from the same population. The true value of the population parameter is marked with an arrow. Which statistic has the lowest variability among these three? Statistic B and Statistic C have similar variability, and it is less than the variability of Statistic A A Statistic A and Statistic B have similar variability, and it is less than the variability of Statistic C B Statistic A C Statistic B D Statistic C E /1

12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 21/51 /1 QUESTION 46 You take an SRS of size 500 from the 37,000 students at Purdue University and measure each individual’s height. You then take an SRS of size 500 from the 4,400,000 adults in the state of Indiana and measure their heights. Assuming the standard deviation of individual heights in the two populations is the same, the standard deviation of the sampling distribution of mean heights for the Indiana sample is approximately the same as for the Purdue sample because both are samples of size 500 A either larger or smaller than for the Purdue sample because it varies from sample to sample B larger than for the Purdue sample because the population of Indiana is much larger C smaller than for the Purdue sample because the population of Indiana is much larger D larger, because the Indiana sample is smaller relative to the population from which it’s been taken E /1 QUESTION 47 According to a recent poll, 27% of Americans get 30 minutes of exercise at least five days each week. Let’s assume this is the parameter value for the population. How would the sampling distribution of for n = 50 compare to the sampling distribution of for n = 10? The center and spread would be the same, but the shape would be approximately Normal only for the larger sample A The center would be the same, the spread would be larger when n = 50, and the shape would be approximately Normal only for the larger sample B The center and spread would be the same and both distributions would be approximately Normal C The center would be the same, the spread would be smaller when n = 50, and the shape would be approximately Normal only for the larger sample D The center would be the same, the spread would be smaller when n = 50, and both distributions would be approximately Normal E /1 QUESTION 48

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 22/51 Suppose that at Elkhorn High School, the number of hours per week that seniors spend on homework is approximately Normally distributed with a mean of 18.6 and a standard deviation of 6.0. Mrs. Habrock takes a simple random sample of 36 seniors and calculates the sample mean homework hours per week. What is the mean of the sampling distribution of means for the 36 students? 1.0 A 18.6 B 3.1 C This value cannot be determined without the actual data D 6.0 E /1 QUESTION 49 In a large population of adults, the mean IQ is 112 with a standard deviation of 20. Suppose 200 adults are randomly selected for a market research campaign. The sampling distribution of the sample mean IQ is approximately Normal with mean 112 and standard deviation 1.414 A approximately Normal with mean 112 and standard deviation 20 B exactly Normal with mean 112 and standard deviation 20 C exactly Normal with mean 112 and standard deviation 1.414 D approximately Normal with mean 112 and standard deviation 0.1 E /1 QUESTION 50 A factory produces plate glass with a mean thickness of 4 mm and a standard deviation of 1.1 mm. A simple random sample of 100 sheets of glass is to be measured, and the sample mean thickness of the 100 sheets computed. Which of the following is closest to the probability that the average thickness of the 100 sheets of glass is less than 4.1 mm? 0.8413 A 0.8183 B 0.6817 C 0.1814 D 0.5361 E /1 QUESTION 51

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 23/51 Academic Honesty Pledge for Exams ( Required ) : Your Test/Quiz will not be scored and you will receive ZERO points if you do not affirm this statement. Copy the following statement followed by your full name and today's date. “I affirm that I will not give or receive any unauthorized help on this exam through any means including digitally. I will not disclose the questions nor the answers to any part of this exam through any forum. All work on this exam is my own.”

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 24/51

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 25/51 Statistics A Final (Chapters 1-7) GRADING INSTRUCTIONS: Grade each question and tally the points to ±nd the student's total points for the assessment. If the factor does not equal 1, multiply the total points by the factor to obtain the student's ±nal score. ANSWER KEY POSSIBLE POINTS: FACTOR: TEST VALUE: QUESTION 1 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. Mrs. Barnes records the values of several variables for each student in her class. These include the variables listed below. Which of these variables is categorical? score on the final exam ( out of 200 points ) A  final grade for the course ( A, B, C, D, or F ) B the number of lectures the student missed C the total number of points earned in the class ( i.e., the total of the points on all exams and quizzes in the course; the maximum number of points possible is 500 ) D amount of time, in minutes, spent studying for the final exam E QUESTION 2 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 26/51 1 possible pt. / penalty score: 100%. The bar graph below summarizes responses of dog owners to the question, “Where in the car do you let your dog ride?” Which of the following statements is true? A majority of owners do not allow their pets to ride in the front passenger seat. A Each owner gave only one answer to the question. B Roughly twice as many pets are allowed to sit in the front passenger seat as in the passenger’s lap. C These data could also be presented in a pie chart. D  The vertical scale of this graph exaggerates the difference between the percentage who let their dogs ride in the driver’s lap versus a passenger’s lap. E QUESTION 3 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 27/51 1 possible pt. / penalty score: 100%. Below is a two-way table summarizing the number of cylinders in selected car models manufactured in six different countries. From this table, we might conclude that these data could be more effectively presented with a boxplot. A the only eight cylinder cars in this data set were manufactured in Germany. B about 18% of the cars sold in the United States were manufactured in Japan. C all the cars on Italian roads have four cylinders. D  there is a strong association between country of origin and number of cylinders. E QUESTION 4 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. The standard deviation of 16 peoples’ weights ( in pounds ) is computed to be 5.4. What is the variance of these measurements? 21.6 A 2.24 B 256 C  29.16 D 52.34 E QUESTION 5 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 28/51 1 possible pt. / penalty score: 100%. There are 10 students in Mrs. Meizius’s afternoon Statistics class. The maximum point total for the most recent quarter was 200 points. The point totals for the 10 students are given in the stemplot below. Based upon the shape of the stemplot, we can conclude that the standard deviation is greater than the range. A  the mean is greater than the median. B the standard deviation is greater than the mean. C the mean is less than the median. D the standard deviation is greater than the median. E QUESTION 6 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. Mrs. Temple has just finished grading a quiz for a class of 26 students and has calculated measures of center and spread on the scores. While writing the grades on the quizzes, she realizes she made a mistake, and the highest grade should be 10 points higher. Which one of the following sets of measurements will he have to recalculate?  the mean and standard deviation A the median and interquartile range B the interquartile range and standard deviation C the mean, standard deviation, and interquartile range D the mean and median E QUESTION 7 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 29/51 1 possible pt. / penalty score: 100%. The five - number summary for the weights ( in grams ) of 1200 tomatoes grown in a certain greenhouse is 90, 113.5, 140, 161, and 236. How many tomatoes weighed less than 161 grams? 300 A  900 B 140 C 600 D 236 E QUESTION 8 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. The five-number summary of the distribution of scores on the final exam in Psych 001 last semester was: 18, 39, 62, 76, and 100. Which of the following best describes the location of the 80th percentile? The 80th percentile is between 62 and 76. A The 80th percentile is between 18 and 39. B The 80th percentile is between 39 and 76. C  The 80th percentile is between 76 and 100. D The 80th percentile is 76. E QUESTION 9 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 30/51 1 possible pt. / penalty score: 100%. An ecologist who was studying starfish populations collected starfish of the species Pisaster was interested in the distribution of sizes of starfish on a certain shoreline. One measure of size is “arm length.” Below is a cumulative relative frequency distribution for the arm length, in centimeters, of 102 Pisaster individuals. The Pisaster arm length of a particular starfish is 15.20 cm. Is this starfish unusually large? no, this star fish is approximately at the 15.20th percentile for Pisaster arm length. A yes, this star fish is approximately at the 15.20th percentile for Pisaster arm length. B  no, this star fish is approximately at the 50th percentile for Pisaster arm length. C yes, this star fish is approximately at the 90th percentile for Pisaster arm length. D yes, this star fish is approximately at the 50th percentile for Pisaster arm length. E QUESTION 10 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 31/51 1 possible pt. / penalty score: 100%. A sample was taken of the salaries of 20 employees of a large company. The following are the salaries ( in thousands of dollars ) for this year. 28 31 34 35 37 41 42 42 42 47 49 51 52 52 60 61 67 72 75 77 Suppose each employee in the company receives a $3,000 raise for next year ( each employee's salary is increased by $3,000 ) . The standard deviation of the salaries for the employees will increase by $3,000 A  be unchanged B increase by C decrease by $3,000 D be multiplied by $3,000 E QUESTION 11 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. You can roughly locate the mean of a density curve by eye because it is the point where the curvature changes direction A  the point at which the curve would balance if made of solid material B the point that divides the area under the curve into two equal parts C the point at which the height of the graph is equal to 1 D the point at which the curve reaches its peak E QUESTION 12 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 32/51 1 possible pt. / penalty score: 100%. Suppose that 16 - ounce bags of chocolate chip cookies are produced with weights that follow a Normal distribution with mean weight 16.1 ounces and standard deviation 0.1 ounce. Approximately what percent of the bags will likely be underweight ( that is, less than 16 ounces ) ? none of these A  16% B 10% C 32% D 64% E QUESTION 13 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. The five - number summary for the weights ( in grams ) of 1200 tomatoes grown in a certain greenhouse is 90, 113.5, 140, 161, and 236. The mean weight of the tomatoes is 143 grams and the standard deviation is 35 grams. If the weights are Normally distributed, approximately how many tomatoes weight between 73 grams and 178 grams?  978 A 1140 B 384 C 816 D 600 E QUESTION 14 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 33/51 1 possible pt. / penalty score: 100%. When a basketball player makes a pass to a teammate who then scores, he earns an “assist.” Below is a Normal probability plot for the number of assists earned by all players in the National Basketball Association during the 2010 regular season. Which of the following statements about the shape of this distribution is true? The distribution has no potential outliers A  The distribution is skewed B The distribution is approximately Normal C The distribution is roughly symmetric D The distribution is Normal E QUESTION 15 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. A study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil. The response variable in this study is the soil A amount of rainfall B  yield of the crop C experimenter D amount of fertilizer applied to the soil E QUESTION 16 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 34/51 1 possible pt. / penalty score: 100%. Consider the following scatterplot, which describes the relationship between stopping distance ( in feet ) and air temperature ( in degrees Celsius ) for a certain 2,000 - pound car traveling 40 mph. The correlation between temperature and stopping distance  is approximately 0.6 A is approximately 0.0 B is approximately 0.9 C is approximately –0.6 D cannot be calculated, because some of the x values are negative E QUESTION 17 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. All but one of the following statements contains an error. Which statement could be correct? We found a high correlation between the height and age of children: r = 1.12 A We found a correlation of r = –0.63 between gender and political party preference B The correlation between the distance travelled by a hiker and the time spent hiking is r = 0.9 meters per second C There is a correlation of 0.54 between the position a football player plays and his weight D  The correlation between mid - August soil moisture and the per - acre yield of tomatoes is r = 0.53 E QUESTION 18 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 35/51 1 possible pt. / penalty score: 100%. One concern about the depletion of the ozone layer is that the increase in ultraviolet ( UV ) light will decrease crop yields. An experiment was conducted in a green house where soybean plants were exposed to varying levels of UV, measured in Dobson units. At the end of the experiment the yield ( kg ) was measured. A regression analysis was performed with the following results: Which of the following is correct? If the yield increases by 1 kg, the UV value is expected to decrease by 0.0463 Dobson units A If the UV value increases by 1 Dobson unit, the yield is expected to increase by 0.0463 kg B None of the these is correct C The predicted yield is 4.3 kg when the UV value is 20 Dobson units D  If the UV value increases by 1 Dobson unit, the yield is expected to decrease by 0.0463 kg E QUESTION 19 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. Suppose we fit a least - squares regression line to a set of data. What is true if a plot of the residuals shows a curved pattern? The correlation must be positive A The correlation must be 0 B Outliers must be present C  A straight line is not a good model for the data D The regression line might or might not be a good model for the data, depending on the extent of the curve E QUESTION 20 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 36/51 1 possible pt. / penalty score: 100%. Below is the computer output for a least - squares regression of y = protein ( in grams ) and x = calories for 16 different sandwiches produced by a major sandwich franchise. Which of the following best describes what S = 5.723 represents? The typical distance between the observed protein content for each type of sandwich and the mean protein content is 5.723 grams A The typical distance between the observed calorie content for each type of sandwich and the mean calories content is 5.723 calories B 5.723% of the variability in protein content of the sandwiches can be accounted for by the regression of protein content on calories content C  When using this regression to predict protein content from calories content, we will typically be off by about 5.723 grams D For each one - unit increase in calorie content, the predicted protein content increases by an average of 5.723 grams E QUESTION 21 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. A researcher wishes to study how the average weight y ( in kilograms ) of children changes during the first year of life. He plots these averages versus the age x ( in months ) and decides to fit a least - squares regression line to the data with x as the explanatory variable and y as the response variable. He computes the following quantities. What is the slope of the least - squares regression line? 1.01 A  0.30 B 2.7 C 3.0 D 0.88 E

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 37/51 QUESTION 22 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. Mrs. De La Fe, a sportswriter, wants to know how strongly Orlando residents support the professional baseball team, the Orlando Rays. She stands outside the stadium before a game and interviews the first 20 people who enter the stadium. The intended population for this survey is all American adults A the 20 people who gave the sportswriter their opinion B  all residents of Orlando C all people attending the game the day the survey was conducted D all Orlando Ray baseball fans E QUESTION 23 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. Simple random sampling ... reduces bias resulting from the behavior of the interviewer A  none of these B reduces bias resulting from undercoverage and nonresponse C reduces bias resulting from poorly worded questions D reduces variability E QUESTION 24 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 38/51 1 possible pt. / penalty score: 100%. Mrs. Kerns plan to give a math achievement test to samples of 15 year - olds students from both the U.S. and Korea in order to compare mathematics knowledge in the two countries. In each country, she will randomly choose 300 students from low - income families, 400 students from middle - income families, and 200 students from high - income families. The sample from Korea is a voluntary response sample A a simple random sample B a convenience sample C a biased sample D  a stratified random sample E QUESTION 25 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. Does caffeine improve exam performance? Suppose all students in the 8:30 section of a course are given a "treatment" ( two cups of coffee ) and all students in the 9:30 section are not permitted to have any caffeine before a mid - term exam. The response variable in this study is the time the class is held A teacher's performance B two cups of coffee C  exam performance D class attendance E QUESTION 26 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. The principle reason for the use of controls in designing experiments is that it  distinguishes a treatment effect from the effects of confounding variables A reduces sampling variability B allows double - blinding C creates approximately equal groups for comparison D eliminates the placebo effect E

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 39/51 QUESTION 27 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. A psychologist studying the effects of “positive thinking” on cognitive ability designs the following study: 120 male volunteers are divided into two groups by random assignment. Eighty female volunteers are randomly divided into two groups of 40 by the same method. One group of 60 males and 40 females is asked to write down three things they feel that they are good at doing. The other group of 60 males and 40 females is asked to write down what they ate for breakfast. All 100 subjects then take a SAT Math practice test, and the means for the two groups are compared. Which of the following is a correct description of this study? An observational study A  A randomized block experiment B A completely randomized experiment C A stratified random experiment D A matched pairs experiment E QUESTION 28 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. The Hemlock Woolly Adelgid is an insect that has accidentally been released in Eastern U.S. forests from Asia. Because it has no natural enemies in the U.S., it is spreading rapidly. A forester studying the abundance of the insect in southern Vermont wants to determine if it has spread that far north. He randomly selects 200 hemlock trees in a large Vermont forest and finds that 46 of them show signs of damage from this insect. To which of the following groups of trees would it be appropriate to generalize the results of the study? All trees in southern Vermont A  All hemlock trees in the forest from which the 200 trees were selected B All hemlock trees in southern Vermont C All hemlock trees in the United States D The 200 hemlock trees that were randomly selected E QUESTION 29 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 40/51 1 possible pt. / penalty score: 100%. The probability of any outcome of a random phenomenon is none of these A any number as long as it is greater than 0 and less than 1 B either 0 or 1, depending on whether or not the phenomenon can actually occur or not C the precise degree of randomness present in the phenomenon D  the proportion of times the outcome occurs in a very long series of repetitions E QUESTION 30 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 41/51 1 possible pt. / penalty score: 100%. Mr. Yoder has collected data on the number of occupants of cars travelling on the road past his house for the past week. Based on his data, he has constructed a probability model for the number of occupants of a randomly - selected car on his street. Which of the following could be his model?  number of occupan ts 1 2 3 4 5 or mor e probabili ty 0. 5 0. 2 5 0. 1 5 0. 0 6 0.04 A number of occupant s 1 2 3 4 5 or mor e probabilit y 0. 6 0. 6 0. 2 0. 1 0.05 B number of occupant s 1 2 3 4 5 or mor e probabili ty 0. 5 0. 2 0. 1 0. 0 5 0.05 C number of occupants 1 2 3 4 5 or more probabilit y 2 1 0. 1 0. 1 0.4 D number of occupant s 1 2 3 4 5 or mor e probabilit y 1/ 2 1/ 4 1/ 4 1/ 8 1/8 E QUESTION 31 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 42/51 1 possible pt. / penalty score: 100%. The security system in a house has two units that set off an alarm when motion is detected. Neither one is entirely reliable, but one or both always go off when there is motion anywhere in the house. Suppose that for motion in a certain location, the probability that detector A goes off and detector B does not go off is 0.25, and the probability that A does not go off is 0.35. What is the probability that B goes off? 0.1 A  0.75 B 0.4 C 0.35 D 0.65 E QUESTION 32 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. Pat and Diane are applying for summer jobs at a local restaurant. After interviewing them, the restaurant owner says, “The probability that I hire Pat is 0.7, and the probability that I hire Diane is 0.4. The probability that I hire at least one of you is 0.9.” What is the probability that both Pat and Diane get hired?  0.2 A 0.3 B 1.1 C 0.28 D 0.1 E QUESTION 33 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 43/51 1 possible pt. / penalty score: 100%. The following table compares the hand dominance of 200 Canadian high - school students and what methods they prefer using to communicate with their friends. Suppose one student is chosen randomly from this group of 200. What is the probability that the student chosen is left - handed or prefers to communicate with friends in person? 0.17 A 0.065 B 0.595 C  0.53 D 0.425 E QUESTION 34 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. The following table compares the hand dominance of 200 Canadian high - school students and what methods they prefer using to communicate with their friends. Suppose one student is chosen randomly from this group of 200. Which of the following statements supports the conclusion that the event “Right - handed” and the event “Online” are not independent? 166/200 ≠ 60/200 A 51/200 ≠ 34/60 B 9/34 ≠ 166/200 C  51/60 ≠ 166/200 D 60/166≠ 166/200 E QUESTION 35 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 44/51 1 possible pt. / penalty score: 100%. In a particular game, a fair die is tossed. If the number of spots showing is either four or five, you score 1 point. If the number of spots showing is six, you score 4 points. And if the number of spots showing is one, two, or three, you score 0. You are going to play the game twice. What is the probability that you score at least 1 point both times? 3/4 A 1/36 B 4/46 C  1/4 D 1/2 E QUESTION 36 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. An ecologist studying starfish populations collects the following data on randomly selected 1-meter by 1-meter plots on a rocky coastline. -The number of starfish in the plot. -The total weight of starfish in the plot. -The percentage of area in the plot that is covered by barnacles (a popular food for starfish). -Whether or not the plot is underwater midway between high and low tide. How many of these measurements are continuous random variables and how many are discrete random variables? one continuous, three discrete A three continuous, one discrete B two continuous, two discrete C  two continuous, one discrete, and a fourth that cannot be treated as a random variable D one continuous, two discrete, and a fourth that cannot be treated as a random variable E QUESTION 37 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 45/51 1 possible pt. / penalty score: 100%. In a certain population of students, the number of calculators a student owns is a random variable X described by the following probability distribution: Number of calculators x 0 1 2 Probability p 0.2 0.6 0.2 Which of the following is the mean of X? i i 0.5 A 1.2 B The answer cannot be computer from the information given C 2 D  1 E QUESTION 38 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. The probability distribution of a continuous random variable X is given by the density curve below. What is the probability that X is between 0.5 and 1.5? 1/3 A 1/4 B 1 C 3/4 D  1/2 E QUESTION 39 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 46/51 1 possible pt. / penalty score: 100%. Capital Car Wash sells a membership card for $25 per year that entitles the buyer to a $2 discount on each car wash purchased during the year. The number of times Danica washes her car has a mean of 15 with standard deviation of 4. Which of the following gives the correct mean and standard deviation of the amount of money Danica would save if she buys a membership card? Mean = $30; Standard deviation = $8 A There is not enough information to determine both values B  Mean = $5; Standard deviation = $8 C Mean = $30; Standard deviation = $4 D Mean = $5; Standard deviation = $4 E QUESTION 40 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. Sulé’s job is just a few bus stops away from his house. While it can be faster to take the bus to work, it’s more variable, because of variations in traffic. He estimates that the commute time to work by bus is approximately Normally distributed with a mean of 12 minutes and a standard deviation of 4 minutes. The commute time if he walks to work is also approximately Normally distributed with a mean of 16 minutes with a standard deviation of 1 minute. What is the probability that the bus will be faster than walking? 0.8980 A  0.8340 B 0.9896 C 0.8485 D 0.9756 E QUESTION 41 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 47/51 1 possible pt. / penalty score: 100%. A worn out bottling machine does not properly apply caps to 5% of the bottles it fills. If you randomly select 20 bottles from those produced by this machine, what is the approximate probability that between 2 and 6 ( inclusive ) caps have been improperly applied? 0.38 A 0.92 B 0.19 C  0.26 D 0.74 E QUESTION 42 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. You are stuck at the Vince Lombardi rest stop on the New Jersey Turnpike with a dead battery. To get on the road again, you need to find someone with jumper cables that connect the batteries of two cars together so you can start your car again. Suppose that 16% of drivers in New Jersey carry jumper cables in their trunk. You begin to ask random people getting out of their cars if they have jumper cables. On average, how many people do you expect you will have to ask until you find someone with jumper cables? 2 A 1.6 B  6.25 C 6 D 16 E QUESTION 43 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 48/51 1 possible pt. / penalty score: 100%. There are twenty multiple - choice questions on an exam, each having responses a, b, c, or d. Each question is worth five points and only one option per question is correct. Suppose the student guesses the answer to each question, and the guesses from question to question are independent. The distribution of X = the number of questions the student will get correct, is  binomial with parameters n = 20 and p = 0.25 A binomial with parameters n = 5 and p = 0.25 B none of these C binomial with parameters n = 5 and p = 0.2 D binomial with parameters n = 4 and p = 0.25 E QUESTION 44 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. The dotplot below gives an approximate sampling distribution for the proportion of red marbles in a jar. One hundred SRS of size n = 16 were selected from the jar ( with replacement and mixing ) and the proportion of red marbles was recorded each time. Based upon the dotplot, which of the following is the least likely value of the population proportion of red marbles in the jar? 0.7 A 0.5 B 0.3 C  0.9 D 0.1 E QUESTION 45 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 49/51 1 possible pt. / penalty score: 100%. Below are dot plots of the values taken by three different statistics estimating the same parameter in 30 samples from the same population. The true value of the population parameter is marked with an arrow. Which statistic has the lowest variability among these three? Statistic A A  Statistic B and Statistic C have similar variability, and it is less than the variability of Statistic A B Statistic A and Statistic B have similar variability, and it is less than the variability of Statistic C C Statistic B D Statistic C E QUESTION 46 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. You take an SRS of size 500 from the 37,000 students at Purdue University and measure each individual’s height. You then take an SRS of size 500 from the 4,400,000 adults in the state of Indiana and measure their heights. Assuming the standard deviation of individual heights in the two populations is the same, the standard deviation of the sampling distribution of mean heights for the Indiana sample is either larger or smaller than for the Purdue sample because it varies from sample to sample A smaller than for the Purdue sample because the population of Indiana is much larger B larger, because the Indiana sample is smaller relative to the population from which it’s been taken C  approximately the same as for the Purdue sample because both are samples of size 500 D larger than for the Purdue sample because the population of Indiana is much larger E

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 50/51 QUESTION 47 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. According to a recent poll, 27% of Americans get 30 minutes of exercise at least five days each week. Let’s assume this is the parameter value for the population. How would the sampling distribution of for n = 50 compare to the sampling distribution of for n = 10? The center and spread would be the same, but the shape would be approximately Normal only for the larger sample A The center and spread would be the same and both distributions would be approximately Normal B The center would be the same, the spread would be larger when n = 50, and the shape would be approximately Normal only for the larger sample C The center would be the same, the spread would be smaller when n = 50, and both distributions would be approximately Normal D  The center would be the same, the spread would be smaller when n = 50, and the shape would be approximately Normal only for the larger sample E QUESTION 48 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. Suppose that at Elkhorn High School, the number of hours per week that seniors spend on homework is approximately Normally distributed with a mean of 18.6 and a standard deviation of 6.0. Mrs. Habrock takes a simple random sample of 36 seniors and calculates the sample mean homework hours per week. What is the mean of the sampling distribution of means for the 36 students? 1.0 A 6.0 B This value cannot be determined without the actual data C 3.1 D  18.6 E QUESTION 49 : MULTIPLE CHOICE

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12/13/22, 6:31 PM Print Assessment https://lms.lausd.net/common-assessment-print/resource/6483481032?multipleQuestions=1&includeAnswerKey=1&includeBlankLines=1 51/51 1 possible pt. / penalty score: 100%. In a large population of adults, the mean IQ is 112 with a standard deviation of 20. Suppose 200 adults are randomly selected for a market research campaign. The sampling distribution of the sample mean IQ is approximately Normal with mean 112 and standard deviation 20 A exactly Normal with mean 112 and standard deviation 1.414 B exactly Normal with mean 112 and standard deviation 20 C approximately Normal with mean 112 and standard deviation 0.1 D  approximately Normal with mean 112 and standard deviation 1.414 E QUESTION 50 : MULTIPLE CHOICE 1 possible pt. / penalty score: 100%. A factory produces plate glass with a mean thickness of 4 mm and a standard deviation of 1.1 mm. A simple random sample of 100 sheets of glass is to be measured, and the sample mean thickness of the 100 sheets computed. Which of the following is closest to the probability that the average thickness of the 100 sheets of glass is less than 4.1 mm? 0.1814 A  0.8183 B 0.6817 C 0.8413 D 0.5361 E QUESTION 51 : SHORT ANSWER/ESSAY Academic Honesty Pledge for Exams ( Required ) : Your Test/Quiz will not be scored and you will receive ZERO points if you do not affirm this statement. Copy the following statement followed by your full name and today's date. “I affirm that I will not give or receive any unauthorized help on this exam through any means including digitally. I will not disclose the questions nor the answers to any part of this exam through any forum. All work on this exam is my own.”

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