Suppose a null hypothesis is that the population mean is greater than or equal to 40 Suppose further that a random sample of 52 items is taken and the population standard deviation is 8 For each of the following values, compute the probability of committing a Type II error if the population mean is actually 39 (a) 0 10 (b) 0 05 (c) 0 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 40. Suppose further that a random sample of 52 items

Suppose a null hypothesis is that the population mean is greater than or equal to 40. Suppose further that a random sample of 52 items is taken and the population standard deviation is 8. For each of the following α values, compute the probability of committing a Type II error if the population mean is actually 39.

(a) α = 0.10

(b) α = 0.05

(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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a From Table A5 area for z 165 is 005 so the area under normal standard curve for z ... View full answer

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