Question

You wish to test the following claim (HaHa) at a significance level of α=0.05. For the context of this problem, μd=PostTest−PreTestμd=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
66.4	128
65.2	128.6
65.2	73.5
35.2	72.7
59.3	47
55	-0.1
43.4	114.7
56.7	65
58.7	46.4
36.6	69.2
72	104.6
49.2	80.7
70.9	105.9
46.1	38.1
47.5	95.3
65.2	93.1
54	60
48.8	79.1
54	-11.9

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

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

The p-value is...

• less than (or equal to) αα
• greater than αα

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

Answer 1