Consider the following hypothesis test. H0: 10 Ha: < 10 The sample size is

Question:

Consider the following hypothesis test.
H0: µ ≥ 10
Ha: µ < 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?