Question

In: Statistics and Probability

You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. For the...

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..

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