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QUESTION 6 6.29b: Provide the upper limit of the confidence interval. Use 2 decimals for your answer. Hint: See L-15 pdf and lecture, page 8-11 (Exercise 6.11)

QUESTION 6 6.29b: Provide the upper limit of the confidence interval. Use 2 decimals for your answer. Hint: See L-15 pdf and lecture, page 8-11 (Exercise 6.11)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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QUESTION 6 6.29b: Provide the upper limit of the confidence interval. Use 2 decimals for your answer. Hint: See L-15 pdf and lecture, page 8-11 (Exercise 6.11)
Transcribed Image Text:QUESTION 6 6.29b: Provide the upper limit of the confidence interval. Use 2 decimals for your answer. Hint: See L-15 pdf and lecture, page 8-11 (Exercise 6.11)
6.29 A study was designed to measure the effect of home environment on academic achieve- ment of 12-year-old students. Because genetic differences may also contribute to academic achievement, the researcher wanted to control for this factor. Thirty sets of identical twins were identified who had been adopted prior to their first birthday, with one twin placed in a home in which academics were emphasized (Academic) and the other twin placed in a home in which academies were not emphasized (Nonacademic). The final grades (based on 100 points) for the 60 students are given here. Set of Set of Twins Academic Nonacademic Twins Academic Nonacademic 1 78 71 16 90 88 2 75 70 17 89 80 3 68 66 18 73 65 92 85 19 61 60 55 60 20 76 74 74 72 21 81 76 7 65 57 22 89 78 8 80 75 82 78 98 92 70 62 10 68 73 11 67 63 74 73 12 55 52 85 75 13 49 48 28 97 88 14 95 94 15 75 70 30 78 75 a. Is there a difference in the mean final grades between the students in an academi- cally oriented home environment and those in a nonacademically oriented home environment. Use a- 05. b. Estimate the size of the difference in the mean final grades of the students in academic and nonacademic home environments using a 95% confidence interval. c. Do the conditions for using the procedures appear to be satisfied for these data? d. Does it appear that using twins in this study to control for variation in final scores was effective as compared to taking a random sample of 30 students in both types of home environments? Justify your answer. Act Gote
Transcribed Image Text:6.29 A study was designed to measure the effect of home environment on academic achieve- ment of 12-year-old students. Because genetic differences may also contribute to academic achievement, the researcher wanted to control for this factor. Thirty sets of identical twins were identified who had been adopted prior to their first birthday, with one twin placed in a home in which academics were emphasized (Academic) and the other twin placed in a home in which academies were not emphasized (Nonacademic). The final grades (based on 100 points) for the 60 students are given here. Set of Set of Twins Academic Nonacademic Twins Academic Nonacademic 1 78 71 16 90 88 2 75 70 17 89 80 3 68 66 18 73 65 92 85 19 61 60 55 60 20 76 74 74 72 21 81 76 7 65 57 22 89 78 8 80 75 82 78 98 92 70 62 10 68 73 11 67 63 74 73 12 55 52 85 75 13 49 48 28 97 88 14 95 94 15 75 70 30 78 75 a. Is there a difference in the mean final grades between the students in an academi- cally oriented home environment and those in a nonacademically oriented home environment. Use a- 05. b. Estimate the size of the difference in the mean final grades of the students in academic and nonacademic home environments using a 95% confidence interval. c. Do the conditions for using the procedures appear to be satisfied for these data? d. Does it appear that using twins in this study to control for variation in final scores was effective as compared to taking a random sample of 30 students in both types of home environments? Justify your answer. Act Gote
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