In: Statistics and Probability
You wish to test the following claim (HaHa) at a significance
level of α=0.005α=0.005. 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=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 |
---|---|
52.1 | 30.9 |
53.3 | 34.3 |
43.4 | -12.1 |
46.8 | 41.3 |
54.5 | 6.7 |
38.9 | 23 |
58.3 | 38 |
51.7 | 31.4 |
69.5 | 60.6 |
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 =