Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 16

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 symmetrical. 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 arc used
(b) State the hypotheses.
(c) Compute the sample test statistic.
(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