You wish to test the following claim (H_(a)) at a significance level of \alpha =0.002. For the context of this
problem, \mu _(d)=\mu _(2)-\mu _(1) where the first data set represents a pre-test and the second data set
represents a post-test.
H_(o):\mu _(d)=0
H_(a):\mu _(d)>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:
What is the test statistic for this sample?
test statistic =
(Report answer accurate to 4 decimal places.)
What is the p-value for this sample?
p-value =
(Report answer accurate to 4 decimal places.)
The p-value is...
less than (or equal to) \alpha
greater than \alpha
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 greater than 0 .
There is not sufficient evidence to warrant rejection of the claim that the mean difference of
post-test from pre-test is greater than 0 .
The sample data support the claim that the mean difference of post-test from pre-test is
greater than 0 .
There is not sufficient sample evidence to support the claim that the mean difference of post-
test from pre-test is greater than 0 .