Consider the following hypothesis test. H0: μ ≥ 10 Ha: μ < 10 The sample size is 120 and the population standard deviation is 5. Use α = 0.05. If the actual population mean is 7, the probability of a type II error is 0.2912. Suppose the researcher wants to reduce the probability of a type II error to 0.10 when the actual population mean is 8. What sample size is recommended? (Round your answer up to the nearest integer.)