Question

You wish to test the following claim (HA) at a significance level of α=0.05. For the context of this problem, μD=μ2−μ1 where the first data set represents a pre-test and the second data set represents a post-test.

      H0: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
55.5	-18.7
49.9	-4.3
48.3	24.4
59.2	106.5
46.8	-7.4
57.6	55.2
45.5	20
49.9	-21.8
48.5	11.8
46.3	62.8
42.4	-16.9

Note:   μD=μ2−μ1. It is NOT :   μD≠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 =

Answer 1