1) Students in a statistics class were asked to report the number of hours they slept on weeknights and on weekends. The table below shows the results. Is there a difference in the mean hours slept on weeknights versus weekends? Use a significance level of a = 0.05. 2 3 7.5 8 Student 4 6 10 11 12 13 14 15 6.5 7 9 8 6 12 10 9 8 Weeknight Hours 5.5 5 6 7.5 Weekend Hours 4 10.5 11 12 5 11 10 a) A paired t-Test requires that the samples be dependent. Is that condition met for this problem? Why or why not? b) State the hypotheses in symbols. c) Use your calculator to perform a t-Test on L3 = L1- L2 and report the test statistic and p-value. Be sure to write which list you entered into L1 and which list you entered for L2, and, as usual, write out what you entered in your calculator. d) Write a full conclusion for this test in the context of the problem. 4.
1) Students in a statistics class were asked to report the number of hours they slept on weeknights and on weekends. The table below shows the results. Is there a difference in the mean hours slept on weeknights versus weekends? Use a significance level of a = 0.05. 2 3 7.5 8 Student 4 6 10 11 12 13 14 15 6.5 7 9 8 6 12 10 9 8 Weeknight Hours 5.5 5 6 7.5 Weekend Hours 4 10.5 11 12 5 11 10 a) A paired t-Test requires that the samples be dependent. Is that condition met for this problem? Why or why not? b) State the hypotheses in symbols. c) Use your calculator to perform a t-Test on L3 = L1- L2 and report the test statistic and p-value. Be sure to write which list you entered into L1 and which list you entered for L2, and, as usual, write out what you entered in your calculator. d) Write a full conclusion for this test in the context of the problem. 4.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
Related questions
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Transcribed Image Text:1) Students in a statistics class were asked to report the number of hours they slept on weeknights
and on weekends. The table below shows the results. Is there a difference in the mean hours slept
on weeknights versus weekends? Use a significance level of a = 0.05.
2 3
7.5 8
Student
4
6
10
11
12 13
14
15
6.5 7 9 8 6
12 10 9 8
Weeknight Hours
5.5
5
6
7.5
Weekend Hours
4
10.5 11 12
5
11
10
a) A paired t-Test requires that the samples be dependent. Is that condition met for this problem?
Why or why not?
b) State the hypotheses in symbols.
c) Use your calculator to perform a t-Test on L3 = L1- L2 and report the test statistic and p-value.
Be sure to write which list you entered into L1 and which list you entered for L2, and, as usual,
write out what you entered in your calculator.
d) Write a full conclusion for this test in the context of the problem.
4.
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