(a) Is there evidence to support the assumption that the coefficient of restitution is normally distributed? Use = 0.01.

(b) Does the data support the claim that the mean coefficient of restitution of baseballs exceeds 0.623? Use the relevant test statistic approach to support your response, assuming = 0.01.

(c) What is the P-value of the test statistic computed in part (b)?

(d) Compute the power of the test if the true mean coefficient of restitution is as high as 0.63.

(e) What sample size would be required to detect a true mean coefficient of restitution as high as 0.63 if we wanted the power of the test to be at least 0.75?