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

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


      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:

What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value = ±


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