Consider Exercise 4-21, and suppose that the sample size is increased to n = 16.
(a) Where would the boundary of the critical region be placed if the type I error probability is 0.05?
(b) Using n = 16 and the critical region found in part (a), find the type II error probability β if the true mean foam height is 195 mm.
(c) Compare the value of β obtained in part (b) with the value from Exercise 4-21
(b). What conclusions can you draw? Which has higher power?