You wish to test the following claim (H1H1) at a significance level of α=0.02α=0.02. For the context of this problem, μd

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You wish to test the following claim (H1H1) at a significance
level of α=0.02α=0.02. 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
H1:μd≠0H1: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=202n=202 subjects.
The average difference (post - pre)
is ¯d=−1.3d¯=-1.3 with a standard deviation of the
differences of sd=7.8sd=7.8.

What is the critical value for this test? For this calculation, if
you do not have a Ti-84 and the degrees of freedom is not on Table
F, then please use the =T.INV(Area to left,df) function in
GoogleSheets to report the answer accurate to three decimal
places.
critical value = ±±

What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =

The test statistic is...
This test statistic leads to a decision to...
As such, the final conclusion is that...