Suppose a null hypothesis is that the population mean is greater than or equal to 100 Suppose further that a random sample of 48 items is taken and the population standard deviation is 14 For each of the following values, compute the probability of committing a Type II error if the population mean actually is 99 a 10 b 05 c 01 d Based on the answers to parts (a), (b), and (c), what happens to the value of as gets smaller

Question: Suppose a null hypothesis is that the population mean is greater than or equal to 100. Suppose further that a random sample of 48 items

Suppose a null hypothesis is that the population mean is greater than or equal to 100. Suppose further that a random sample of 48 items is taken and the population standard deviation is 14. For each of the following α values, compute the probability of committing a Type II error if the population mean actually is 99.

a. α = .10

b. α = .05

c. α = .01

d. Based on the answers to parts (a), (b), and (c), what happens to the value of β as α gets smaller?

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