To determine if his teaching method increases students’ learning, a professor administers a pretest to his class at the beginning of the semester and then a posttest at the end of the semester. The results from 10 randomly chosen students are given below. Let Population 1 be the Pretest scores and Population 2 be the Posttest scores.  Test Scores Pretest Posttest 98 81 79 81 74 57 90 71 81 79 59 61 77 67 62 50 79 67 83 67   Step 1 of 2 : Construct a 90% confidence interval for the true mean difference between the scores to determine if the teaching method increases students’ knowledge of the course material. Round the endpoints of the interval to one decimal place, if necessary.

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To determine if his teaching method increases students’ learning, a professor administers a pretest to his class at the beginning of the semester and then a posttest at the end of the semester. The results from 10 randomly chosen students are given below. Let Population 1 be the Pretest scores and Population 2 be the Posttest scores.
 Test Scores
Pretest Posttest
98 81
79 81
74 57
90 71
81 79
59 61
77 67
62 50
79 67
83 67
 
Step 1 of 2 : Construct a 90% confidence interval for the true mean difference between the scores to determine if the teaching method increases students’ knowledge of the course material. Round the endpoints of the interval to one decimal place, if necessary.
 
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