Question

You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test.

      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
51	-25.8
49.5	51.4
56.5	110.7
35.5	22.7
45.2	67.4
46.8	27.1
41	10
53	1.3
35.5	55.9
44.8	75.5
42.1	-39.5
46.5	1.3
51.3	-30.3
38	-4.7
51	4.6
41.6	65.8
47.8	58.2
46.5	-62
54.4	52.4
45.4	30.2
52	-45.9
48.6	-30.5
38	-7.2
38.3	71.5
35.5	85

Also, μd=μ2−μ1μd=μ2-μ1   NOT   μd=μ1−μ2μd=μ1-μ2 .


What is the test statistic for this sample?
(Report your answer accurate to the ten-thousandths.)
test statistic =  

What is the p-value for this sample?  
(Report your answer accurate to the ten-thousandths.)
p-value =  

The p-value is...

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

This test statistic leads to a decision to..

Answer 1