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I am confused on this question and keep getting different results and it is becoming fristrating...

I am confused on this question and keep getting different results and it is becoming fristrating


H0:  ≥ 19
Ha:  < 19

The sample size is 120 and the population standard deviation is 6. Use  = .05.

If the actual population mean is 18, the probability of a Type II error is 0.4286. Suppose the researcher wants to reduce the probability of a Type II error to .10 when the actual population mean is 18. What sample size is recommended? Round your answer to the next whole number.

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