52.8 71.8 45.8 68.3 40.3 65.7 What is the mean diffrence for this sample? Mean difference = What is the test statistic for this sample? Test statistic = Select an answer reject the null What is the P-value for this test? accept the null P-value = reject the claim fail to reject the null This P-value leads to a decision to. Select an answer

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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 increase when they are allowed to wear ear
buds to listen to music at work.
A random sample of 9 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 increased at a significance level of a = 0.01.
(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, Ha = Hafter - H_Before,
where the first data set represents "after" and the second data set represents "before".
H, : Ha = 0
H, a > 0
This is the sample data:
Before
After
50.5
68.3
46
56.6
43.8
48.7
51.3
55.1
46.9
54.7
34
33.9
52.8
71.8
45.8
68.3
40.3
65.7
What is the mean difference for this sample?
Mean difference =
What is the test statistic for this sample?
Test statistic =
Select an answer
reject the null
What is the P-value for this test?
accept the null
P-value =
reject the claim
fail to reject the null
This P-value leads to a decision to. Select an answer
As such, the final conclusion is tha Select an answer
Select an answer
There is not sufficient evidence to support the claim that the time to complete the task has increased
This-vMue led to aecision
There is sufficient evidence to support the claim that the time to complete the task has increased.
As such, the final conclusion is that. Select an answer
Transcribed Image Text:A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will increase when they are allowed to wear ear buds to listen to music at work. A random sample of 9 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 increased at a significance level of a = 0.01. (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, Ha = Hafter - H_Before, where the first data set represents "after" and the second data set represents "before". H, : Ha = 0 H, a > 0 This is the sample data: Before After 50.5 68.3 46 56.6 43.8 48.7 51.3 55.1 46.9 54.7 34 33.9 52.8 71.8 45.8 68.3 40.3 65.7 What is the mean difference for this sample? Mean difference = What is the test statistic for this sample? Test statistic = Select an answer reject the null What is the P-value for this test? accept the null P-value = reject the claim fail to reject the null This P-value leads to a decision to. Select an answer As such, the final conclusion is tha Select an answer Select an answer There is not sufficient evidence to support the claim that the time to complete the task has increased This-vMue led to aecision There is sufficient evidence to support the claim that the time to complete the task has increased. As such, the final conclusion is that. Select an answer
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