You wish to test the following claim (HaHa) at a significancelevel of ?=0.005?=0.005. 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=264n=264 subjects. The averagedifference (post - pre) is ¯d=3.6d¯=3.6 with a standard deviationof the differences of sd=20.4sd=20.4.
What is the test statistic for this sample? (Report answer accurateto three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate tofour decimal places.)
p-value =
The p-value is...
- less than (or equal to) ??
- greater than ??
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 greater than0.
- There is not sufficient evidence to warrant rejection of theclaim that the mean difference of post-test from pre-test isgreater than 0.
- The sample data support the claim that the mean difference ofpost-test from pre-test is greater than 0.
- There is not sufficient sample evidence to support the claimthat the mean difference of post-test from pre-test is greater than0.
