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 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?

AppendixLO1