Question

You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. 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
51.9	69.5
52.9	4.9
59.4	29.8
56.8	-33.5
54.9	45.9
58.8	-10.6
52.3	98.1
58.2	4.9
55.8	130.3
53	77.5
52.5	51.2
59	46.7
50.8	52.9
51.5	-10.1
48.4	23.6

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

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

Answer 1