Consider the baseball coefficient of restitution data in Exercise 8-79. If the mean coefficient of restitution exceeds 0.635, the population of balls from which the sample has been taken will be too “lively” and considered unacceptable for play.
(a) Formulate an appropriate hypothesis testing procedure to answer this question.
(b) Test these hypotheses using the data in Exercise 8-79 and draw conclusions, using a = 0.01.
(c) Find the P-value for this test.
(d) In Exercise 8-79(b), you found a 99% confidence interval on the mean coefficient of restitution. Does this interval, or a one-sided CI, provide additional useful information to the decision maker? Explain why or why not.