For a random sample of 36 data pairs, the sample mean of the
differences was 0.72. The sample standard deviation of the
differences was 2. At the 5% level of significance, test the claim
that the population mean of the differences is different from
0.
(a) Is it appropriate to use a
Student's t distribution for the sample test
statistic? Explain.
What degrees of freedom are used?
(b) State the hypotheses.
(c) Compute the t value. (Round your answer
to three decimal places.)