The foot size of each of 16 men was measured, resulting in the sample mean of...

The foot size of each of 16 men was measured, resulting in the sample mean of 27.32 cm. Assume that the distribution of foot sizes is normal with sigma = 1.2 cm.

a) Test if the population mean of men’s foot sizes is 28.0 cm using alpha = 0.01.

b) If alpha = 0.01 is used, what is the probability of a type II error when the population mean is 27.0 cm?

c) Find the sample size required to ensure that the type II error probability beta(27) = 0.1 when alpha = 0.01.

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orchestra answered 1 year ago

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