The foot size of each of 16 men was measured, resulting in thesample mean of 27.32 cm. Assume that the distribution of foot sizesis normal with sigma = 1.2 cm.
a) Test if the population mean of men’s foot sizes is 28.0 cmusing alpha = 0.01.
b) If alpha = 0.01 is used, what is the probability of a type IIerror when the population mean is 27.0 cm?
c) Find the sample size required to ensure that the type IIerror probability beta(27) = 0.1 when alpha = 0.01.
