A sample of 35 paired observations generates the following results: = 1.2 and sD = 3.8.
a. Specify the appropriate hypotheses to test if the mean difference is greater than zero.
b. Compute the value of the test statistic and approximate the p-value.
c. At the 5% significance level, can you conclude that the mean difference is greater than zero? Explain.
d. Repeat the hypothesis test using the critical value approach.