# Question: A Explain why use of the z statistic is appropriate

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?

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?

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