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4. The supervisor of the Food Court at the Union suspects that one of the hambur

ID: 2956988 • Letter: 4

Question

4. The supervisor of the Food Court at the Union suspects that one of the hamburger suppliers is delivering patties that weigh less than the required 16 ounces each. He is going to determine that the patties weigh less than 16 ounces if his sample of 50 patties has a mean weight under 15.85 ounces. Assume the standard deviation of the population is .4 ounces.

a. What is the power against an alternative mean of 15.72 ounces? In other words, if the mean is really 15.72 ounces, what is the chance you will detect this and reject the null hypothesis?

b. What is the alpha error of the hypothesis test?

c. What is the probability that the null hypothesis of µ = 16 is true but you reject it?

d. What is the probability that the null hypothesis of µ = 16 is false but you accept it?

e. What is the probability that the null hypothesis of µ = 16 is true and you accept it?

f. If you had sampled only 25 patties rather than 50, what would happen to the power of your hypothesis test?

Explanation / Answer

Answered.

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