Question 1 A researcher is interested in measuring the memory recall of students. Twenty students were given fifteen minutes to try to memorize a list of 15 phrases. Each student was then asked to list as many of the phrases as he or she could remember both two hours and twenty-four hours later. The number of phrases recalled correctly for each student are shown below. Student Two Hours Twenty-Four Hours 1 2 3 4 5 6 7 8 9 10 7 19 13 3 0 3 14 0 12 2 2 4 14 10 9 4 3 1 3 11 12 13 14 15 16 17 18 19 20 22 12 10 2 4 3 11 5 4 14 4 1 0 11 10 10 12 14 13 b. Test the hypothesis that the mean for the memory after two hours is less than 5. Use the 1% level of significance. c. Determine whether there is evidence, at the 5% level of significance, that for all students, the mean number of words recalled after two hours exceeds that recalled after twenty-four hours

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
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Question 1
A researcher is interested in measuring the memory recall of students. Twenty students were given
fifteen minutes to try to memorize a list of 15 phrases. Each student was then asked to list as many
of the phrases as he or she could remember both two hours and twenty-four hours later. The number
of phrases recalled correctly for each student are shown below.
Student
Two Hours
Twenty-Four
Hours
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
7 1 9 13 303 14 0 12 2 2 12 10 2 4 3 11 5 4
2 2 4 14 10 9 4 3 1 3
14 4
1 0 11 10 10 12 14 13
b. Test the hypothesis that the mean for the memory after two hours is less than 5. Use
the 1% level of significance.
c.
Determine whether there is evidence, at the 5% level of significance, that for all
students, the mean number of words recalled after two hours exceeds that recalled
after twenty-four hours.
Transcribed Image Text:Question 1 A researcher is interested in measuring the memory recall of students. Twenty students were given fifteen minutes to try to memorize a list of 15 phrases. Each student was then asked to list as many of the phrases as he or she could remember both two hours and twenty-four hours later. The number of phrases recalled correctly for each student are shown below. Student Two Hours Twenty-Four Hours 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 7 1 9 13 303 14 0 12 2 2 12 10 2 4 3 11 5 4 2 2 4 14 10 9 4 3 1 3 14 4 1 0 11 10 10 12 14 13 b. Test the hypothesis that the mean for the memory after two hours is less than 5. Use the 1% level of significance. c. Determine whether there is evidence, at the 5% level of significance, that for all students, the mean number of words recalled after two hours exceeds that recalled after twenty-four hours.
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