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10/25/23, 12:20 PM Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 1/11 PRINTABLE VERSION Test 2 You scored 74 out of 100 Question 1 Your answer is INCORRECT. In a normal distribution with a mean of 50 and a standard deviation of 3, find P(X > 55). a) 0.6523 b) 0.0478 c) 0.9522 d) 0.8434 e) 0.2212 Question 2 Your answer is CORRECT. Find P( Z < 1.55) a) 0.9394 b) 0.4697 c) 0.5000 d) 0.5303 e) 0.0606 Question 3 Your answer is INCORRECT. Suppose a random sample of 36 measurements is selected from a population with a mean of 29 and a standard deviation of 2.4. What is the mean and standard error of X ? a) μ X = 4.83; σ X = 0.40 b) μ X = 29; σ X = 2.40

10/25/23, 12:20 PM Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 2/11 c) μ X = 29; σ X = 0.07 d) μ X = 29; σ X = 0.40 e) μ X = 4.83; σ X = 2.40 Question 4 Your answer is CORRECT. Identify the type of sampling used in the following situation: A radio talk show wanted to know whether Houstonians think Texas should continue to use the death penalty. The station asked for listeners to call in and give their opinion. a) Convenience Sample b) Stratified Random Sample c) Voluntary Response d) Simple Random Sample Question 5 Your answer is CORRECT. The following two-way table describes the preferences in school subjects and level of education for a random sample of 100 students. Middle School High School College English 20 15 5 Math 12 7 9 Science 9 11 12 What percent of the high school students like English? (Round to the nearest percent) a) 36% b) 45% c) 22% d) 9% e) 43% Question 6 Your answer is CORRECT.

10/25/23, 12:20 PM Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 3/11 In the diagram below, the shaded region has an area of approximately 0.95. The normal distribution that is modelled by this diagram has a mean of 60 and a standard deviation 5. What is the horizontal interval of the shaded region? a) [40, 70] b) [55, 65] c) [50, 70] d) [60, 60] e) [45, 65] Question 7 Your answer is CORRECT. Determine the value of c based on a normal distribution with mean of 50 and standard deviation of 3. P(X < c) = 0.4326 a) 49.491 b) 50.509 c) 47.275 d) 48.244 e) 52.329 Question 8 Your answer is CORRECT. Regression analysis was done to a set of bivariate data. The table shows the four regression models that were calculated along with their coefficient of determination. Which model is the best fit for this data set?

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10/25/23, 12:20 PM Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 4/11 a) exponential b) linear c) logarithmic d) quadratic Question 9 Your answer is CORRECT. Average height of men is normally distributed with a mean of 62 inches and a standard deviation of 2 inches. Determine the z-score for a man with a height of 59 inches. a) b) c) d) e) Question 10 Your answer is CORRECT. The mathematics department is considering revising how statistics is taught. In order to see if their changes will be effective in increasing student performance, they decided to run a Simulated Experiment. Previous semesters have that 50% of students receive an A in the class, 20% receive a B, and 10% receive a C. How would you assign values so you can use a Random Digit Table to run this experiment? a) Assign 1 digit numbers as follows: 0, 1, 2, 3, 4 are A; 5, 6 are B; 7 is C; 8, 9 are other grades. b) Assign 1 digit numbers as follows: 0, 1, 2, 3, 4 are A; 5, 6 are B; 7 is C; 8, 9 are D. c) Assign 2 digit numbers as follows: 00-50 are A; 00-20 are B; 00-10 are C. d) This experiment cannot be simulated using a random digit table. = 34 = −1.5 = 2 = 1.5 = −1.8

10/25/23, 12:20 PM Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 5/11 e) Assign 2-digit numbers as follows: 90-99 are A; 80-89 are B; 70-79 are C; 60-69 are D; and 00-59 are F. Question 11 Your answer is INCORRECT. Use the following information to answer questions 11 to 14. A probability density curve is described by two line segments. The first connects the points and . The second connects to the -axis. Determine the -value where the second line segment connects with the -axis. a) b) c) d) e) Question 12 Your answer is CORRECT. Use the following information to answer questions 11 to 14. A probability density curve is described by two line segments. The first connects the points and . The second connects to the -axis. Calculate the probability of . a) b) c) d) e) Question 13 Your answer is INCORRECT. Use the following information to answer questions 11 to 14. A probability density curve is described by two line segments. The first connects the points (0, 0.5) (1, 0.5) (1, 0.5) = 5 = 2 = 3 = 1 = 4 (0, 0.5) (1, 0.5) (1, 0.5) P( < 0.3) 0.50 0.25 0.15 0.10 0.30 (0, 0.5)

10/25/23, 12:20 PM Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 6/11 and . The second connects to the -axis. Calculate the probability of . a) b) c) d) e) Question 14 Your answer is INCORRECT. Use the following information to answer questions 11 to 14. A probability density curve is described by two line segments. The first connects the points and . The second connects to the -axis. Determine the -value of the median of this curve. a) b) c) d) e) Question 15 Your answer is CORRECT. Use the following information to answer questions 15 to 19. The following indicates the number of hours that Johnny spent studying the week before each exam in his classes along with the corresponding exam scores: Hours Studying: 3 7 9 11 15 18 Score on Exam: 53 48 59 71 80 93 Identify the explanatory and response variables for this situation. a) Cannot be determined b) Explanatory: score on exam; Response: hours studying (1, 0.5) (1, 0.5) P( > 1) 0.55 0.45 0.50 0.25 0.30 (0, 0.5) (1, 0.5) (1, 0.5) 2.5 1.5 1.0 0.5 1.75

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10/25/23, 12:20 PM Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 7/11 c) Explanatory: hours studying; Response: score on exam Question 16 Your answer is CORRECT. Use the following information to answer questions 15 to 19. The following indicates the number of hours that Johnny spent studying the week before each exam in his classes along with the corresponding exam scores: Hours Studying: 3 7 9 11 15 18 Score on Exam: 53 48 59 71 80 93 Find the LSRL for this data. a) b) c) d) e) Question 17 Your answer is CORRECT. Use the following information to answer questions 15 to 19. The following indicates the number of hours that Johnny spent studying the week before each exam in his classes along with the corresponding exam scores: Hours Studying: 3 7 9 11 15 18 Score on Exam: 53 48 59 71 80 93 Find and interpret the correlation coefficient. a) ; Approximately 88% of the variation in exam score is explained by the LSRL. b) ; There is a strong negative relationship between the variables. c) ; There is a strong positive relationship between the variables. d) ; Approximately 94% of the variation in exam score is explained by the LSRL. e) ; There is a strong positive relationship between the variables. Question 18 Your answer is INCORRECT. = 36.082 − 2.976 = 2.976 + 36.082 = 36.082 + 2.976 = 0.2964 − 9.4545 = 9.4545 − 0.2964 0.8820 0.9392 0.9392 0.9392 0.8820

10/25/23, 12:20 PM Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 8/11 Use the following information to answer questions 15 to 19. The following indicates the number of hours that Johnny spent studying the week before each exam in his classes along with the corresponding exam scores: Hours Studying: 3 7 9 11 15 18 Score on Exam: 53 48 59 71 80 93 Find and interpret the coefficient of determination. a) ; There is a strong positive relationship between the variables. b) ; There is a strong negative relationship between the variables. c) ; Approximately 88% of the variation in exam score is explained by the LSRL. d) ; Approximately 94% of the variation in exam score is explained by the LSRL. e) ; There is a strong positive relationship between the variables. Question 19 Your answer is CORRECT. Use the following information to answer questions 15 to 19. The following indicates the number of hours that Johnny spent studying the week before each exam in his classes along with the corresponding exam scores: Hours Studying: 3 7 9 11 15 18 Score on Exam: 53 48 59 71 80 93 Find the residual corresponding to the explanatory value of 9. a) b) c) d) e) Question 20 Your answer is CORRECT. Use the following information to answer questions 20 to 24. A researcher is running a study to determine what quantity of active ingredient in a prescription ulcer medication can lead to a more noticeable decrease in symptoms without causing additional side effects. To do this, the researcher selects a sample of 300 people recently diagnosed with stomach ulcers. The sample was divided into three groups (one which was given 100 mg of 0.9392 0.9392 0.8820 0.9392 0.8820 −65.787 65.787 −3.866 3.866 46.878

10/25/23, 12:20 PM Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 9/11 medication, one which was given 150 mg of medication, and one which was given a tablet that resembled the medication but had no medical value). The subjects were monitored closedly for the next three days while their symptoms and side effects were documented. Is this study an observational study or an experiment? Give an explanation. a) Experiment because there is active control imposed on the subjects. b) Observational study because the researcher is documenting subjects. c) Observational study because there is a testable hypothesis. d) Observational study because there is no active control imposed by the researcher. e) Experiment because the researcher is documenting cases. Question 21 Your answer is CORRECT. Use the following information to answer questions 20 to 24. A researcher is running a study to determine what quantity of active ingredient in a prescription ulcer medication can lead to a more noticeable decrease in symptoms without causing additional side effects. To do this, the researcher selects a sample of 300 people recently diagnosed with stomach ulcers. The sample was divided into three groups (one which was given 100 mg of medication, one which was given 150 mg of medication, and one which was given a tablet that resembled the medication but had no medical value). The subjects were monitored closedly for the next three days while their symptoms and side effects were documented. Identify the sample and population of this study. a) Sample: 300 selected patients; Population: All people with stomach ulcers. b) Sample: All people with stomach ulcers; Population: 300 observed patients. c) Sample: All people; Population: All people with stomach ulcers. d) Sample: All people with stomach ulcers; Population: All people. e) Sample: 300 selected patients; Population: All people. Question 22 Your answer is INCORRECT. Use the following information to answer questions 20 to 24. A researcher is running a study to determine what quantity of active ingredient in a prescription ulcer medication can lead to a more noticeable decrease in symptoms without causing additional side effects. To do this, the researcher selects a sample of 300 people recently diagnosed with stomach ulcers. The sample was divided into three groups (one which was given 100 mg of medication, one which was given 150 mg of medication, and one which was given a tablet that

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10/25/23, 12:20 PM Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 10/11 resembled the medication but had no medical value). The subjects were monitored closedly for the next three days while their symptoms and side effects were documented. To assign subjects to these three groups, the researcher looked at their previous medical history. An equal number of good health, average health, and poor health were placed in each group. What is this method called? a) Matching b) Stratifying c) Blocking d) Random Assignment e) Placebo Effect Question 23 Your answer is CORRECT. Use the following information to answer questions 20 to 24. A researcher is running a study to determine what quantity of active ingredient in a prescription ulcer medication can lead to a more noticeable decrease in symptoms without causing additional side effects. To do this, the researcher selects a sample of 300 people recently diagnosed with stomach ulcers. The sample was divided into three groups (one which was given 100 mg of medication, one which was given 150 mg of medication, and one which was given a tablet that resembled the medication but had no medical value). The subjects were monitored closedly for the next three days while their symptoms and side effects were documented. If this is an experiment, identify the control and treatment groups. a) Control Group: Tablet resembling medication; Treatment Groups: 100 mg and 150 mg of medication. b) There are no control groups. All three groups are treatment. c) Control Group: 150 mg of medication; Treatment Groups: No medication or 100 mg of medication. d) This is not an experiment. e) Control Groups: 100 mg and 150 mg of medication; Treatment Group: Tablet resembling medication. Question 24 Your answer is CORRECT. Use the following information to answer questions 20 to 24. A researcher is running a study to determine what quantity of active ingredient in a prescription

10/25/23, 12:20 PM Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 11/11 ulcer medication can lead to a more noticeable decrease in symptoms without causing additional side effects. To do this, the researcher selects a sample of 300 people recently diagnosed with stomach ulcers. The sample was divided into three groups (one which was given 100 mg of medication, one which was given 150 mg of medication, and one which was given a tablet that resembled the medication but had no medical value). The subjects were monitored closedly for the next three days while their symptoms and side effects were documented. During the course of the study, the subjects did not know the quantity (or lack of) medication they were receiving. The researcher did not know which group each subject was assigned to until after he documented their change in symptoms and any side effects. This lack of knowledge describes which feature? a) Double-Blindness b) Response Bias c) Poor Experiment Design d) Randomness e) Blindness

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