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

Exercise 11

Basic Computation: Paired Differences Test For a random sample of 36 data pairs, the sample mean of the differences was 0.8. 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) 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) 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