5. Students who enroll in a certain memory course are given a pre-test before the course begins. At the completion of the course, 6 students are randomly selected and given a post-test. Their scores are listed below: Student 1 2 3 4 5 6 Before 93 86 72 54 92 65 After 98 92 80 62 91 75 (a) Construct a 95% confidence interval for the mean difference in the test scores. (b) Based on the confidence interval in (a), can we conclude that there is significant improve- ment in memory for the students who enroll in the memory course? Why?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
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5.
Students who enroll in a certain memory course are given a pre-test
before the course begins. At the completion of the course, 6 students are randomly selected and
given a post-test. Their scores are listed below:
Student 1 2 3
5
6
Before 93
86
72 54
92
65
After 98 92 80 62 91 75
(a) Construct a 95% confidence interval for the mean difference in the test scores.
(b) Based on the confidence interval in (a), can we conclude that there is significant improve-
ment in memory for the students who enroll in the memory course? Why?
Transcribed Image Text:5. Students who enroll in a certain memory course are given a pre-test before the course begins. At the completion of the course, 6 students are randomly selected and given a post-test. Their scores are listed below: Student 1 2 3 5 6 Before 93 86 72 54 92 65 After 98 92 80 62 91 75 (a) Construct a 95% confidence interval for the mean difference in the test scores. (b) Based on the confidence interval in (a), can we conclude that there is significant improve- ment in memory for the students who enroll in the memory course? Why?
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