Question

You wish to test the following hypotheses at a significance level of α=0.02

      H0: μd=0
      HA: μd≠0

For the context of this problem, μd=μ2−μ1 where the first data set represents a pre-test and the second data set represents a post-test.

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=7 subjects. The average difference (post - pre) is ¯d=−32d with a standard deviation of the differences of sd=36.8

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

t=

What is the degree of freedom for this sample?

df=

Answer 1

given data are:-

test statistic be:-

degrees of freedom :-

(n-1) = (7-1) = 6

p value :-

[ in any blank cell of excel type =T.DIST(-2.301,6,TRUE) press enter]

decision:-

p value = 0.0610 > 0.02 (alpha)

we fail to reject the null hypothesis.

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