You wish to test the following claim (HaHa) at a significancelevel of ?=0.05?=0.05. For the context of this problem, one dataset represents a pre-test and the other data set represents apost-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=137n=137 subjects. The averagedifference (post - pre) is ¯d=2.2d¯=2.2 with a standard deviationof the differences of sd=43.1sd=43.1.
- What is the test statistic for this sample?
test statistic = Round to 4 decimal places.
- What is the p-value for this sample? Round to 4 decimalplaces.
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 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.
