a Explain why use of the z statistic is appropriate in this setting b Describe Type I and Type II errors in this context c The rejection of H0 when z yen 1 8 corresponds to what value of a (That is, what is the area under the z curve to the right of 1 8 ) d Suppose that the actual value for micro is 153 and that H0 is to be rejected if z yen 1 8 Draw a sketch (similar to that of Figure 10 5) of the sampling distribution of x, and shade the region that would represent b, the probability of making a Type II error e For the hypotheses and test procedure described, compute the value of b when micro 153 f For the hypotheses and test procedure described, what is the value of b if micro 160 x 150 2 0 0 2

Question: a. Explain why use of the z statistic is appropriate in this setting. b. Describe Type I and Type II errors in this context. c.

a. Explain why use of the z statistic is appropriate in this setting.
b. Describe Type I and Type II errors in this context.
c. The rejection of H0 when z ‰¥ 1.8 corresponds to what value of a? (That is, what is the area under the z curve to the right of 1.8?)
d. Suppose that the actual value for µ is 153 and that H0 is to be rejected if z ‰¥ 1.8. Draw a sketch (similar to that of Figure 10.5) of the sampling distribution of x, and shade the region that would represent b, the probability of making a Type II error.
e. For the hypotheses and test procedure described, compute the value of b when µ = 153.
f. For the hypotheses and test procedure described, what is the value of b if µ = 160?

x-150 2 0 0 2

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