Chapter 9.2, Problem 9P

Basic Computation: Testing µ, $\sigma$ Unknown A random sample has 25 values. is drawn from a mound-shaped and symmetric distribution. The sample mean is 10 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 9.5.

(a) Cheek Requirements Is it appropriate to use a Student's t distribution? Explain. How many degrees of freedom do we use?

(b) What are the hypotheses?

(c) Compute the t value of the sample test statistic.

(d) Estimate the P-value for the test.

(e) Do we reject or fail to reject $H_o$?

(f) Interpret the results.