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 is taken and the population standard deviation is 14. For each of the following α values, compute the probability of committing a type two error if the population mean actually is 99.

1. α = .10
2. α = .05
3. α = .01
4. based on the answer to parts a, b, and c, what happens to the value of β as α as gets smaller?

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