Question: 54. Consider the following hypothesis test. H0: Ha: m $ 10 m , 10 The sample size is 120 and the population standard deviation is

54. Consider the following hypothesis test.

H0:

Ha:

m $ 10 m , 10 The sample size is 120 and the population standard deviation is 5. Use a = .05. If the actual population mean is 9, the probability of a Type II error is .2912. Suppose the researcher wants to reduce the probability of a Type II error to .10 when the actual population mean is 9. What sample size is recommended?

55. Consider the following hypothesis test.

H0:

Ha:

m 5 20 m ± 20 The population standard deviation is 10. Use a = .05. How large a sample should be taken if the researcher is willing to accept a .05 probability of making a Type II error when the actual population mean is 22?

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