In: Statistics and Probability
You wish to test the following claim (HaHa) at a significance
level of α=0.02α=0.02. For the...
You wish to test the following claim (HaHa) at a significance
level of α=0.02α=0.02. For the context of this problem, one data
set represents a pre-test and the other 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
pre-test and post-test samples for n=197n=197 subjects. The average
difference (post - pre) is ¯d=−2.8d¯=-2.8 with a standard deviation
of the differences of sd=17.1sd=17.1.
- 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 decimal
places.
p-value =
- The p-value is...
- less than (or equal to) αα
- greater than αα
- 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 claim
that the mean difference of post-test from pre-test is not equal to
0.
- There is not sufficient evidence to warrant rejection of the
claim that the mean difference of post-test from pre-test is not
equal to 0.
- The sample data support the claim that the mean difference of
post-test from pre-test is not equal to 0.
- There is not sufficient sample evidence to support the claim
that the mean difference of post-test from pre-test is not equal to
0.