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Cheese Consumption. 33. Refer to Problem 26. Suppose that you decide to use a z-test with a significance level of 0.10 and a sample size of 35. Assume that = 6.9 lb.

a. Determine the probability of a Type I error.

b. If last year's mean cheese consumption was 33.5 lb, identify the distribution of the variable x , that is, the sampling distri- bution of the mean for samples of size 35.

c. Use part (b) to determine the probability, , of a Type II error if in fact last year's mean cheese consumption was 33.5 lb.