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True or false? All else equal, the closer the true mean is to the hypothesized mean,...

True or false? All else equal, the closer the true mean is to the hypothesized mean, μ, the greater the probability of type II error.

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Answer #1

Answer to the question:

Option: False.

Explanation: The true mean is the sample mean and on the other hand the hypothesized mean is the population mean. We can say that the probability of committing type II error has increased if we increase the rejection region. When the sample mean approaches the population mean this may be because of the increase in the size of the sample. When the sample size increases the error declines.

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