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03-04-2024
Mathematics

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Consider the following hypothesis test.
H₀: μ ≥ 10
Hₐ: μ < 10
The sample size is 120 and the population standard deviation is 9. Use α = 0.05.
If the actual population mean is 8, 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 11. What sample size is recommended? (Round your answer up to the nearest integer.)

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