Question: For testing H0: = 14, H1: = 14, an = 0.05 level t-test is being considered. What sample size is necessary in

For testing H0: μ = 14, H1: μ = 14, an α = 0.05 level t-test is being considered. What sample size is necessary in order for the probability to be 0.1 of falsely failing to reject H0 when the true population mean differs from 14 by 0.5? From a preliminary sample we estimate σ to be 1.25.

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