You wish to test the following claim (HaHa) at a significancelevel of ?=0.001?=0.001. For the context of this problem,?d=?2??1?d=?2-?1 where the first data set represents a pre-test andthe second data set represents a post-test.
Ho:?d=0Ho:?d=0
Ha:?d?0Ha:?d?0
You believe the population of difference scores is normallydistributed, but you do not know the standard deviation. You obtainpre-test and post-test samples for n=229n=229 subjects. The averagedifference (post - pre) is ¯d=3.3d¯=3.3 with a standard deviationof the differences of sd=19.4sd=19.4.
What is the critical value for this test? (Report answer accurateto three decimal places.)
critical value = ±±
What is the test statistic for this sample? (Report answer accurateto three decimal places.)
test statistic =
The test statistic is...
- in the critical region
- not in the critical region
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claimthat the mean difference of post-test from pre-test is not equal to0.
- There is not sufficient evidence to warrant rejection of theclaim that the mean difference of post-test from pre-test is notequal to 0.
- The sample data support the claim that the mean difference ofpost-test from pre-test is not equal to 0.
- There is not sufficient sample evidence to support the claimthat the mean difference of post-test from pre-test is not equal to0.
