You wish to test the following claim (HaHa) at a significance level of =0.01=0.01. For the context of this problem, d=21d=2-1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:d=0Ho:d=0 Ha:d0Ha:d0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for 55 subjects. The average difference (post - pre) is 2.9 with a standard deviation of the differences of 19.4. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is...

• in the critical region
• not in the critical region

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• there is sufficient evidence to conclude that the mean difference of post-test from pre-test are equal to 0.
• there is not sufficient evidence to conclude that the mean difference of post-test from pre-test are equal to 0.
• there is sufficient evidence to conclude that the mean difference of post-test from pre-test is not equal than 0.
• there is not sufficient evidence to conclude that the mean difference of post-test from pre-test is not equal than 0.

2. 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 25 workers' times were collected before and after. Test at a significance level of 0.01. For the context of this problem, d=abd=a-b where the first data set represents after and the second data set represents before. Assume the population is normally distributed. Round answers to 3 decimal places. Ho:d=0Ho:d=0 Ha:d0Ha:d0 You obtain the following sample of data:

After	Before
48.6	61.1
56.1	56.8
59.3	46.2
35.3	48.9
40.2	50.3
62.9	74.7
64.2	66.9
42.8	54
42.8	43.1
35.1	34.7
64	41.1
53.7	52.9
30.8	42.6
54.9	55.9
40.7	57.1
39	49.5
69.7	74.7
12.5	34.7
15.1	42.6
78	60.7
29.5	48.2
45.9	55.4
40.4	48.9
16.9	37.8
36.1	28.4

What is the critical value for this test? What is the test statistic for this sample? The test statistic is Select an answer not in the critical region in the critical region This test statistic leads to a decision to Select an answer accept the claim reject the claim fail to reject the null accept the null reject the null As such, the final conclusion is that

• there is not sufficient evidence to conclude that the mean time to complete the task has changed.
• there is sufficient evidence to conclude that the mean time to complete the task has changed.
• there is not sufficient evidence to conclude that the mean time to complete the task has stayed the same.
• there is sufficient evidence to conclude that the mean time to complete the task has stayed the same.