Question

You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. For the context of this problem, μd = PostTest − PreTest. Each row gives the scores of a single individual.

      Ho:μd=0
      Ha:μd<0

You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

pre-test	post-test
33.5	58.5
36.4	10.8
47.5	16.5
54.4	21.8
51.7	55.5
38.9	71.5
39.1	31.1
40.9	38.1
32.7	-20
48.3	58.9
45.7	37.7
51.7	62.3
43.2	24
28.7	44.1
54.4	68.5

1. What is the test statistic for this sample?
test statistic = (Report answer accurate to 4 decimal places.)

2. What is the p-value for this sample?
p-value = (Report answer accurate to 4 decimal places.)

3. The p-value is...

• A.less than (or equal to) αα
• B.greater than αα

4. This test statistic leads to a decision to...

• A.reject the null
• B.accept the null
• C.fail to reject the null

5. As such, the final conclusion is that...

• A.There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is less than 0.
• B.There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is less than 0.
• C.The sample data support the claim that the mean difference of post-test from pre-test is less than 0.
• D.There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is less than 0.

Answer 1