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 83 71 73 72 82 81 81 57 97 88 57 56 53 51 68 59 57 60 90 84   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
83 71
73 72
82 81
81 57
97 88
57 56
53 51
68 59
57 60
90 84
 
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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