You wish to test the following claim (HaHa) at a significance
level of α=0.001α=0.001. For the context of this
problem, μd=μ2−μ1μd=μ2-μ1 where the first data set
represents a pre-test and the second 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=19n=19 subjects. The
average difference (post - pre) is ¯d=−6.2d¯=-6.2 with a
standard deviation of the differences of sd=17.9sd=17.9.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four 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.