Question

# You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. For the...

You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. For the context of this problem, μd=PostTest−PreTestμd=PostTest-PreTest one data set represents a pre-test and the other data set represents a post-test. Each row represents the pre and post test scores for an individual.

Ho:μd=0Ho:μd=0
Ha:μd≠0Ha: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
63.4 104.2
65.8 90
18.2 17.8
55.2 54.8
70 34.6
33.1 41.3
24 29.6
49.5 37.4
59.3 96.3
61.5 86.9
54.7 48.5
64.2 34.9
64.9 -7
52.4 71.1
75.8 77.1
54.3 26.1
59.8 118.5
39.7 40.2
59.8 107.7
41.2 8.4

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

Test statistic t = 0.3587

p-value = 0.7238

The p-value is greater than α

This test statistic leads to a decision to 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 not equal to 0.

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