Week 4 test (STATS)

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n 1 0 The population FTES for 2005–2006 through 2010–2011 was given in an updated report. The data are reported here. See Attached Excel for Data. FTES data.xlsx Calculate the third quartile. Round to two decimal places. Use the Excel function to find the Quartile. Third Quartile: ___167.0361 ___ (1922.75) uestion 1 feedback UARTILE.INC( , 3) function in Excel. on 2 1 / Cholesterol levels were collected from patients two days after they had a heart attack (Ryan, Joiner & Ryan, Jr, 1985). Find the standard deviation. Use the Excel function to find the Sample SD. See Attached Excel for Data. cholesterol data.xlsx 45.76 47.71 2195 46.85 9.02 2276.29 Hide question 2 feedback use =STDEV.S function in Excel. n 3 1 The population FTES for 2005–2006 through 2010–2011 was given in an updated report. The data are reported here.
See Attached Excel for Data. FTES data.xlsx Standard Deviation: ___167.0 ___ Calculate the standard deviation. Round to one decimal place.  Use the Excel function to find the Sample SD. n 4 1 The length of the box in the boxplot portrays the range interquartile range mean median Hide question 4 feedback IQR = Q3 - Q1 n 5 1 Enter your responses in the two blank spaces below. The box plot shows weights of all team members of a football team. The middle 50% of the weights for the box plot are from ___205.5 ___ (50 %) to ___272.5 ___ (50 %) . Round to 1 decimal place.
uestion 5 feedback 72.5 and Q1 = 205.5 on 6 0 / Suppose that a histogram of a data set is approximately symmetric and bell shaped. Approximately what percent of the observations are within two standard deviations of the mean? 99.7% 50% 68% 95% Question 7 0 / 1 point The following data represents the percent change in tuition levels at public, four-year colleges (inflation adjusted) from 2008 to 2013 (Weissmann, 2013). Below is the frequency distribution and histogram. Class Limits Class Midpoint Frequency Relative Frequency 2.2 – 11.7 6.95 6 0.12 11.8 – 21.3 16.55 20 0.40 21.4 – 30.9 26.15 11 0.22 31.0 – 40.5 35.75 4 0.08 40.6 – 50.1 45.35 2 0.04 50.2 – 59.7 54.95 2 0.04 59.8 – 69.3 64.55 3 0.06 69.4 – 78.9 74.15 2 0.04
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What was the approximate value of the most frequent change in tuition? 74.15 16.55 0.40 78 20 Hide question 7 feedback This has the highest frequency and relative frequency n 8 1 Which of the following statements is true for the following data values: 7, 5, 6, 4, 7, 8, and 12? Only the mean and mode are equal Only the median and mode are equal Only the mean and median are equal The mean, median and mode are all equal Question 9 0 / 1 point Cholesterol levels were collected from patients two days after they had a heart attack (Ryan, Joiner & Ryan, Jr, 1985). Find the mode. See Attached Excel for Data. cholesterol data.xlsx 282 288 280 236 All of the above Hide question 9 feedback 236, 280, 282 and 288 all appear twice. n 10 1
The following data show the amount (in ounces) of beverage in randomly selected 16-ounce beverage cans. See Attached Excel for Data. ounces data.xlsx The mode of this data is 15.8 16.1 no mode 15.7 15.6 Hide question 10 feedback The value that appears most often is 15.7 n 11 1 The following data represents the percent change in tuition levels at public, four-year colleges (inflation adjusted) from 2008 to 2013 (Weissmann, 2013). Below is the histogram, what is the shape of the distribution?
Cannot be determined Skewed Left Symmetric Skewed Right Question 12 1 / 1 point Cholesterol levels were collected from patients two days after they had a heart attack (Ryan, Joiner & Ryan, Jr , 1985). Use Excel to find the 50th percentile. Do not round. See Attached Excel for Data. cholesterol data.xlsx
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Use the Excel function =PERCENTILE.INC to find the Percentile Retrieved from http://www.statsci.org/data/general/cholest.html . Fill in each of the values below: 50th ___268 ___ uestion 12 feedback cel Functions=PERCENTILE.INC( ,.50) or=MEDIAN   th percentile is also the median value. on 13 1 / A sample of 8 cats found the following weights in kg. Use Excel to find the weight for the 75th percentile. See Attached Excel for Data. cat weight data.xlsx Hint: Use =PERCENTILE.INC function in Excel 3.7 kg 3.85 kg 3.6875 kg 3.65 kg Hide question 13 feedback use =PERCENTILE.INC( , .75) in Excel. n 14 1 The following data show the height (inches) of a sample of students. See Attached Excel for Data. height data.xlsx
Use the Excel function to find the Quartile. The 1st quartile of heights of these students is ___62.75 ___ inches. Using the information in the chart, fill in the blank below. Round to two decimal places. uestion 14 feedback QUARTILE.INC( , 1) in Excel. on 15 1 / The following data represents the percent change in tuition levels at public, four-year colleges (inflation adjusted) from 2008 to 2013 (Weissmann, 2013). Below is the frequency distribution and ogive.
Class Limits Cumulative Frequency 2.2 – 11.7 6 11.8 – 21.3 26 21.4 – 30.9 37 31.0 – 40.5 41
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40.6 – 50.1 43 50.2 – 59.7 45 59.8 – 69.3 48 69.4 – 78.9 50 Based on the information, how many colleges had a percent change in tuition below 50.2%? 43 45 37 80 Hide question 15 feedback The Class Limit of 40.6 - 50.1 has a cumulative frequency value of 43. The next class limit starts at 50.2. n 16 0 A pareto chart does NOT have which of the following properties? The frequencies are arranged from highest to lowest It is a bar chart It is used to represent categorical data The frequencies are arranged from lowest to highest Question 17 1 / 1 point The Australian Institute of Criminology gathered data on the number of deaths (per 100,000 people) due to firearms during the period 1983 to 1997. The time-series plot is below. What year had the lowest rate of deaths?
Retrieved from http://www.statsci.org/data/oz/firearms.html . 1989 1983 1985 1997 Hide question 17 feedback 1997 along the x-axis has the lowest peak along the y-axis. n 18 1 A scatter plot for a random sample of 24 countries shows the average life expectancy and the average number of births per woman (fertility rate). What is the approximate fertility rate for a country that has a life expectancy of 76 years? (2013, October 14).
Retrieved from http://data.worldbank.org/indicator/SP.DYN.TFRT.IN 7.5 3.5 1.5 5.5 Hide question 18 feedback 76 along the x-axis matched up with approximately 1.5 along the y-axis. n 19 1 The following data show the amount (in ounces) of beverage in randomly selected 16-ounce beverage cans. Create a Stem- Leaf plot for these data. 15.8 16.1 15.2 14.8 15.8 15.9 16.0 15.5 16.1 15.7 Fill in the blanks of table below to complete the Stem-Leaf plot for these data. The key is 15|2 = 15.2. Sort the values for Stem and do not keep spaces or commas between leaves.
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Stem Leaf (a) 8 (b) 257889 (c) 011 (a) ___14 ___ (33.33 %) (b) ___15 ___ (33.33 %) (c) ___16 ___ (33.34 %) n 20 1 The graph below is for pulse rates before and after exercise. Were pulse rates higher on average before or after exercise? Before Pulse RatesAfter 9 8 8 7 6 5 2 6 9 8 8 8 6 5 5 5 1 1 0 0 7 8 8 7 5 4 2 8 5 6 6 7 8 9 4 0 9 0 1 1 2 3 4 5 5 6 8 4 10 0 1 4 6 7 11 6 7
12 4 5 8 After Before About the same Cannot be detemined Done Suppose that a manager wants to test two new training programs. They randomly select 5 people for each training type and measure the time it takes to complete a task after the training. The times for both trainings are in the attached Excel file. Which training method is more variable? training data.xlsx Training 1 Training 2 They have the same mean so the variability is the same. Hide question 1 feedback Training 1 because the SD and Variance are bigger. Question 2 1 / 1 point A sample of 8 cats found the following weights in kg. What is the standard deviation? See Attached Excel for Data. Use the Excel function to find the Sample SD. cat weight data.xlsx 0.295 0.275 0.104 0.9 0.087 Hide question 2 feedback use =STDEV.S function in Excel. Question 3 1 / 1 point An instructor wants to compare spread (variation) of final grades of students in her online class and face-to-face class.
The instructor selects 10 students randomly from each class and the following table shows the final grades of those students. See Attached Excel for Data. final grade data.xlsx The standard deviation of final grades for the face-to-face class is ___11.90 ___ Use the information to respond to the following question: (round to 2 decimal places) Use the Excel function to find the Sample SD Hide question 3 feedback use =STDEV.S function in Excel. Question 4 1 / 1 point To determine if Reiki is an effective method for treating pain, a pilot study was carried out where a certified second-degree Reiki therapist provided treatment on volunteers. Pain was measured using a visual analogue scale (VAS) immediately before and after the Reiki treatment (Olson & Hanson, 1997). Higher numbers mean the patients had more pain. Use the box-and-whiskers plots of the before and after VAS ratings to determine if the Reiki method was effective in reducing pain. Choose the best response from the options below.
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No, since there were outliers for the after treatment measurements. Yes, the treatment was effective since all 3 quartiles for the after treatment measurements were smaller than the before treatment measurements. Yes, since there were outliers for the after treatment measurements. No, since there were more people in the before treatment measurements that had a higher pain scale. Question 5 1 / 1 point Which of the following statements are false regarding a boxplot? The length of the box equals the range of the data. Boxplots can be used to either describe a single variable in a data set or to compare two (or more) variables The height of the box has no significance. The right and left of the box are the third and first quartiles Question 6 1 / 1 point A histogram that has a single peak and looks approximately the same to the left and right of the peak is called: bimodal
symmetric balanced proportional Question 7 1 / 1 point The following data represents the grades in a statistics course. Below is the frequency distribution and histogram.
Class Limit Class Midpoint Frequency Relative Frequency 40 – 49.9 45 2 0.08 50 – 59.9 55 1 0.04 60 – 69.9 65 7 0.28 70 – 79.9 75 6 0.24 80 – 89.9 85 7 0.28 90 – 99.9 95 2 0.04 What was the approximate lowest and highest grade in the class? 4 and 28 40 and 100 65 and 85 40 and 99.9 45 and 95 Hide question 7 feedback Lowest value is 40 and the highest value in the Class Limit is 99.9 Question 8 1 / 1 point Cholesterol levels were collected from patients two days after they had a heart attack (Ryan, Joiner & Ryan, Jr, 1985). Find the median. See Attached Excel for Data cholesterol data.xlsx 253.9286 268 248.3245 236 235.2953 Hide question 8 feedback Use =MEDIAN function in Excel. Question 9 1 / 1 point The following histogram shows the distribution percent return on stocks from 1971-2010. The shape of this distribution is:
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(source: http://www.softschools.com/math/probability_and_statistics/sh apes_of_distributions/) symmetric left skewed (skewed negative) right skewed (skewed positive) Question 10 1 / 1 point Cholesterol levels were collected from patients two days after they had a heart attack (Ryan, Joiner & Ryan, Jr, 1985). Find the mean. Round to 4 decimal places. See Attached Excel for Data. cholesterol data.xlsx 253.9286 248.3245 236 235.2593 268 Hide question 10 feedback
use =AVERAGE function in Excel Question 11 1 / 1 point The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles. Which of the following is the mode? See Attached Excel for Data. distance miles data.xlsx 96 84 86 34.5 89 Hide question 11 feedback The mode is the value that appears the most, which is 96. Question 12 1 / 1 point Cholesterol levels were collected from patients two days after they had a heart attack (Ryan, Joiner & Ryan, Jr , 1985). Use Excel to find the 38th percentile. Round to two decimal places. See Attached Excel for Data. cholesterol data.xlsx Use the Excel function =PERCENTILE.INC to find the Percentile. Retrieved from http://www.statsci.org/data/general/cholest.html . Fill in each of the values below: 38th percentile ___237.56 ___ Hide question 12 feedback
Use Excel Functions =PERCENTILE.INC( ,.38) Question 13 1 / 1 point The difference between the first and third quartile is called the interquartile range interdependent range unimodal range mid range Hide question 13 feedback IQR is the InterQuartile Range Question 14 1 / 1 point Listed are 29 ages for Academy Award-winning best actors in order from smallest to largest. See Attached Excel for Data. age data.xlsx Find the 78th percentile. Round one decimal place. ___68.7 ___ years Hint: Use =PERCENTILE.INC function in Excel Hide question 14 feedback use =PERCENTILE.INC( , .78) in Excel. Question 15 1 / 1 point
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What type of graph is the figure below? relative frequency histogram Pareto chart pictograph ogive Question 16 1 / 1 point The following graph represents a random sample of car models driven by college students. What percent of college students drove a Nissan?
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10% 24% 12% 40% 20% Question 17 1 / 1 point A scatterplot allows one to see: whether there is any relationship between two variables what type of relationship there is between two variables Both (a) and (b) are correct Neither (a) nor (b) is correct Question 18 1 / 1 point
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What kind of relationship between x and y is demonstrated by the scatter plot below? No linear relationship A negative linear relationship A positive linear relationship This is not a scatter plot Hide question 18 feedback The trend is moving downward in a negative direction Question 19 0 / 1 point The graph below is for pulse rates before and after exercise. Before Pulse Rates After 9 8 8 7 6 5 2 6 9 8 8 8 6 5 5 5 1 1 0 0 7 8 8 7 5 4 2 8 5 6 6 7 8 9 4 0 9 0 1 1 2 3 4 5 5 6 8 4 10 0 1 4 6 7 11 6 7 12 4 5 8 What was the fastest pulse rate of the before exercise group?
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___85 ___ (104) Hide question 19 feedback The Leaves on the right are for Before Exercise and the Leaves on the left are for After Exercise. Question 20 1 / 1 point The following data show the amount (in ounces) of beverage in randomly selected 16-ounce beverage cans. Create a Stem- Leaf plot for these data. The key is 15|2 = 15.2. 15.8 16.1 15.2 14.8 15.8 15.9 16.0 15.5 16.1 15.7 Using information from the plot you've developed, answer the following two questions. If rounding is necessary, round to one decimal place. 1. What is the minimum observed amount (in ounces) of beverage in a can? ___14.8 ___ (50 %) 2. In your Stem-Leaf plot, what is the maximum Stem data value? ___16 ___ (50 %) Done Week 2 Test Your work has been saved and submitted Written Dec 17, 2023 1:53 PM - Dec 17, 2023 2:30 PMAttempt 1 of 2 Attempt Score 18 / 20 - 90 % Overall Grade (Highest Attempt) 18 / 20 - 90 % stion 1 1 / 1 p An instructor wants to compare spread (variation) of final grades of students in her online class and face-to-face class. The instructor selects 10 students randomly from each class
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and the following table shows the final grades of those students. See Attached Excel for Data. final grade data.xlsx Use the Excel function to find the Sample SD. The standard deviation of final grades for the online class is ___7.83 ___ Use the information to respond to the following question: (round to 2 decimal places) uestion 1 feedback TEDV.S function in Excel. on 2 1 / The following data are the distances between 21 retail stores and a large distribution center. The distances are in miles. See Attached Excel for Data. retail store data.xlsx Find the standard deviation and round to the nearest tenth. Use the Excel function to find the Sample SD. 36.3 35.5 34.5 96 79.5 Hide question 2 feedback use =STEDV.S function in Excel. n 3 1 A sample of 8 cats found the following weights in kg. What is the variance?
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See Attached Excel for Data. Use the Excel function to find the Variance. cat weight data.xlsx 0.087 0.295 0.104 0.076 0.9 Hide question 3 feedback use =VAR.S function in Excel n 4 1 For a boxplot, the box itself represents what percent of the observations? lower 25% 100% upper 75% middle 50% Hide question 4 feedback The box is the middle 50% and then 25% on either side of the box. 25% + 50% + 25% = 100% n 5 1 Given the following boxplot where m is the median value, what statement could be made about the distribution of the data? The distribution is positively skewed.
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The distribution is negatively skewed. The distribution is approximately symmetric. No statement can be made about the data because no data values are shown on the plot. Question 6 1 / 1 point Suppose that a histogram of a data set is approximately symmetric and bell shaped. Approximately what percent of the observations are within one standard deviation of the mean? 50% 95% 99.7% 68% Question 7 1 / 1 point Suppose one hundred eleven people who shopped in a special t-shirt store were asked the number of t-shirts they own costing more than $19 each. The percentage of all people who own at most three t-shirts costing more than $19 each is approximately:
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59% Cannot be determined 20.7% 40.5% Hide question 7 feedback 23 + 17 + 5 = 45 45/111 n 8 0 The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest. See Attached Excel for Data. boat length data.xlsx Identify the Mode. 25 27 25 and 27 25, 26 27 and 33 40 Hide question 8 feedback The mode is the length that appears the most frequently. There are two modes, 25 and 27, each appearing three times. n 9 1 The median can also be described as: the middle observation when the data values are arranged in ascending order the second quartile the 50th percentile all of the above Question 10 1 / 1 point The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest.
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See Attached Excel for Data. boat length data.xlsx Calculate the mean. Round your answer to one decimal place. ___27.3 ___ uestion 10 feedback RAGE function in Excel on 11 0 / The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Tasman Sea are listed below. Find the mode. See Attached Excel for Data. river length data.xlsx 64 no mode 56 & 64 56 32 Hide question 11 feedback The two values that appear most often are 56 and 64. n 12 1 Cholesterol levels were collected from patients two days after they had a heart attack (Ryan, Joiner & Ryan, Jr , 1985). Use Excel to find the 68th percentile. Do Not include any decimals. See Attached Excel for Data. cholesterol data.xlsx Use the Excel function =PERCENTILE.INC to find the Percentile. Retrieved from http://www.statsci.org/data/general/cholest.html .
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Fill in each of the values below: 68th percentile ___280 ___ uestion 12 feedback cel Functions CENTILE.INC( ,.68) on 13 1 / Jesse was ranked 36th in his graduating class of 180 students. At what percentile is Jesse's ranking? 80th percentile 57th percentile 20th percentile 63rd percentile Hide question 13 feedback 36/180 = .20 This means he is in the top 20, which is the 80th percentile of the glass. n 14 1 Cholesterol levels were collected from patients two days after they had a heart attack (Ryan, Joiner & Ryan, Jr , 1985). Use Excel to find Q3. Do not include any decimals. See Attached Excel for Data. cholesterol data.xlsx Use the Excel function =PERCENTILE.INC to find Q3. Retrieved from http://www.statsci.org/data/general/cholest.html . Fill in each the value below: Q3 ___282 ___ uestion 14 feedback
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cel Functions CENTILE.INC( ,.75) on 15 1 / The following table summarizes the proportion of people who prefer different food for lunch. Lunch Choices Proportion Mac 'n Cheese 0.24 Sandwich 0.36 Soup 0.28 Hamburger 0.08 Chicken Nuggets 0.04 Select the correct bar graph for the distribution of people by their lunch choice.
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Question 16 1 / 1 point The following graph represents a random sample of car models driven by college students. What was the most common car model? Chevy
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Other Both Nissan and Toyota Nissan Both Chevy and Toyota Toyota Both Honda and Nissan Question 17 1 / 1 point The following scatterplot shows the hours studied for an exam and the grade for a sample of students. What is the relationship between the variables displayed in the scatterplot? No trend
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Negative Positive Hide question 17 feedback The trend is moving upward in a positive direction n 18 1 When an anthropologist finds skeletal remains, they need to figure out the height of the person. The height of a person (in cm) and the length of one of their metacarpal bone (in cm) were collected and shown in the table below. Create a scatter plot using Excel. height and length data.xlsx What type of a relationship, if any, exists between the height of a person and the length of their metacarpal? (2013, September 26). Retrieved from http://www.statsci.org/data/general/stature.html . Length of Metacarpal Height of Person 45 171 51 178 39 157 41 163 48 172 49 183 46 173 43 175 47 173
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Positive No relationship Negative Question 19 1 / 1 point The following data show the amount (in ounces) of beverage in randomly selected 16-ounce beverage cans. Create a Stem- Leaf plot for these data. 15.8 16.1 15.2 14.8 15.8 15.9 16.0 15.5 16.1 15.7 Fill in the blanks of table below to complete the Stem-Leaf plot for these data. The key is 15|2 = 15.2. Sort the values for Leaf in increasing order and do not keep spaces or commas between leaves. Ste m Leaf 14 15 16 (a) (b) (c) (a): ___8 ___ (33.3 %) (b): ___257889 ___ (33.3 %) (c): ___011 ___ (33.4 %) n 20 1 An instructor had the following grades recorded for an exam. What is the value of the missing leaf? Exam Grades:
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96 66 65 82 85 82 87 76 80 85 83 69 79 70 83 63 81 94 71 83 99 75 73 83 86 6 3 5 6 9 7 0 1 3 5 6 9 8 0 1 2 2 3 3 3 3 5 5 6 7 9 4 (a) 9 (a): ___6 ___ Hide question 20 feedback 96 is missing, thus the missing leaf is 6
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