o 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 2 of 2 : Interpret the confidence interval obtained in Step 1.   1.  We are 90% confident that the mean increase in students scores from the pretest to the post test is between 1.7 and 10.7 points for the population of students in this professors class.   2. Since the confidence interval contains zero, the data do not provide evidence of a significant increase in students scores using the professors teaching method at a 90% confident level.   3. Since the confidence interval does not contain zero, the data provides evidence of a significant increase in students scores using the professors teaching method at a 90% confident level.   4. We are 90% confident that the mean decrease in students scores from the pretest to the post test is between 1.7 and 10.7 points for the population of students in this professors class.

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Author:Amos Gilat
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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 2 of 2 : Interpret the confidence interval obtained in Step 1.
 
1.  We are 90% confident that the mean increase in students scores from the pretest to the post test is between 1.7 and 10.7 points for the population of students in this professors class.
 
2. Since the confidence interval contains zero, the data do not provide evidence of a significant increase in students scores using the professors teaching method at a 90% confident level.
 
3. Since the confidence interval does not contain zero, the data provides evidence of a significant increase in students scores using the professors teaching method at a 90% confident level.
 
4. We are 90% confident that the mean decrease in students scores from the pretest to the post test is between 1.7 and 10.7 points for the population of students in this professors class.
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