Chapter 10.1, Problem 8P

Basic Computation: Paired Differences Test For a random sample of 20 data pairs, the sample mean of the differences was 2. The sample standard deviation of the differences was 5. Assume that the distribution of the differences is mound-shaped and symmetric. At the 1% level of significance, test the claim that the population mean of the differences is positive.

(a) Check Requirements Is it appropriate to use a Student's t distribution for the sample test statistic? Explain. What degrees of freedom are used? (b) Slate the hypotheses.

(c) Compute the sample test statistic and corresponding t value.

(d) Estimate the P-value of the sample test statistic.

(e) Do we reject or fail to reject the null hypothesis? Explain.

(f) Interpretation What do your results tell you?