A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will change when they are allowed to wear ear buds to listen to music at work. A random sample of 8 workers' times were collected before and after wearing ear buds. Assume the data is normally distributed. Perform a Matched-Pairs hypotheis T-test for the claim that the time to complete the task has changed at a significance level of a = 0.10. (If you wish to copy this data to a spreadsheet or StatCrunch, you may find it useful to first copy it to Notepad, in order to remove any formatting.) Round answers to 3 decimal places. For this problem, d= After H_Before, where the first data set represents "after" and the second data set represents "before". Ho: Hd=0 Ha: Hd #0 This is the sample data: Before After 56.5 32.9 61 50.8 64.1 38.1 46.2 45.3 31.9 24.3 37 29.2 63.4 55.8 32.6 29.6 What is the mean difference for this sample? Mean difference = What is the test statistic for this sample? Test statistic = What is the P-value for this test? P-value =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will
change when they are allowed to wear ear buds to listen to music at work.
A random sample of 8 workers' times were collected before and after wearing ear buds. Assume the data is
normally distributed.
Perform a Matched-Pairs hypotheis T-test for the claim that the time to complete the task has changed at a
significance level of a = 0.10.
(If you wish to copy this data to a spreadsheet or StatCrunch, you may find it useful to first copy it to
Notepad, in order to remove any formatting.)
Round answers to 3 decimal places.
For this problem, d= After _Before,
where the first data set represents "after" and the second data set represents "before".
Ho: Pd=0
Ha: Pd #0
This is the sample data:
Before After
56.5
32.9
61
50.8
64.1
38.1
46.2 45.3
31.9
24.3
37
29.2
63.4
55.8
32.6 29.6
What is the mean difference for this sample?
Mean difference =
What is the test statistic for this sample?
Test statistic =
What is the P-value for this test?
P-value =
Transcribed Image Text:A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will change when they are allowed to wear ear buds to listen to music at work. A random sample of 8 workers' times were collected before and after wearing ear buds. Assume the data is normally distributed. Perform a Matched-Pairs hypotheis T-test for the claim that the time to complete the task has changed at a significance level of a = 0.10. (If you wish to copy this data to a spreadsheet or StatCrunch, you may find it useful to first copy it to Notepad, in order to remove any formatting.) Round answers to 3 decimal places. For this problem, d= After _Before, where the first data set represents "after" and the second data set represents "before". Ho: Pd=0 Ha: Pd #0 This is the sample data: Before After 56.5 32.9 61 50.8 64.1 38.1 46.2 45.3 31.9 24.3 37 29.2 63.4 55.8 32.6 29.6 What is the mean difference for this sample? Mean difference = What is the test statistic for this sample? Test statistic = What is the P-value for this test? P-value =
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