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 at work. A random sample of 21 workers' times were collected before and after. Test the claim that the time to complete the task has changed at a significance level of a = 0.05. For the context of this problem, Ha = Hafter - Hbef or e where the first data set represents after and the second data set represents before. Assume the population is normally distributed. Round answers to 4 decimal places. H.: Ha = 0 Ha: Hd + 0 You obtain the following sample of data: Before 53.5 52.9 After 64.4 45.4 51.7 58.4 52.4 55.5 58.2 35.9 75.5 21.4 40.7 48.6 60.5 52.4 26.8 51.5 38.2 44.2 53.3 55.7 38.7 53.5 25.5 52.8 49.4 50.5 19,9 48.8 41.3 50.3 38.8 47 62 53.1 51.7 52.6 23.1 49.5 49.8 49.7 What is the critical value for this test? critical value = +| What is the test statistic for this sample? test statistic - The test statistic is... Select an answer This test statistic leads to a decision to... Select an answer As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the time to complete the task has changed. O There is not sufficient sample evidence to support the claim that the time to complete the task has changed. O There is not sufficient evidence to warrant rejection of the claim that the time to complete the task has changed. O The sample data support the claim that the time to complete the task has changed.

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Author:Amos Gilat
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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 at work. A random sample of 21 workers' times were
collected before and after. Test the claim that the time to complete the task has changed at a significance
level of a = 0.05. For the context of this problem, Ha = Hafter - Hbef or e Wwhere the first data set
represents after and the second data set represents before. Assume the population is normally distributed.
Round answers to 4 decimal places.
H.: Hd = 0
Ha: Hd + 0
You obtain the following sample of data:
After
Before
64.4
53.5
45.4
52.9
58.2
51.7
35.9
58.4
75.5
52.4
21.4
55.5
40.7
48.6
60.5
52.4
26.8
51.5
38.2
44.2
53.3
55.7
38.7
53.5
25.5
52.8
49.4
50.5
19.9
48.8
41.3
50.3
38.8
47
62
53.1
51.7
49.5
52.6
49.8
23.1
49.7
What is the critical value for this test?
critical value = +
What is the test statistic for this sample?
test statistic =
The test statistic is... Select an answer
This test statistic leads to a decision to... Select an answer
As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that the time to complete the task has
changed.
O There is not sufficient sample evidence to support the claim that the time to complete the task has
changed.
O There is not sufficient evidence to warrant rejection of the claim that the time to complete the task
has changed.
O The sample data support the claim that the time to complete the task has changed.
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 at work. A random sample of 21 workers' times were collected before and after. Test the claim that the time to complete the task has changed at a significance level of a = 0.05. For the context of this problem, Ha = Hafter - Hbef or e Wwhere the first data set represents after and the second data set represents before. Assume the population is normally distributed. Round answers to 4 decimal places. H.: Hd = 0 Ha: Hd + 0 You obtain the following sample of data: After Before 64.4 53.5 45.4 52.9 58.2 51.7 35.9 58.4 75.5 52.4 21.4 55.5 40.7 48.6 60.5 52.4 26.8 51.5 38.2 44.2 53.3 55.7 38.7 53.5 25.5 52.8 49.4 50.5 19.9 48.8 41.3 50.3 38.8 47 62 53.1 51.7 49.5 52.6 49.8 23.1 49.7 What is the critical value for this test? critical value = + What is the test statistic for this sample? test statistic = The test statistic is... Select an answer This test statistic leads to a decision to... Select an answer As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the time to complete the task has changed. O There is not sufficient sample evidence to support the claim that the time to complete the task has changed. O There is not sufficient evidence to warrant rejection of the claim that the time to complete the task has changed. O The sample data support the claim that the time to complete the task has changed.
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