Question

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.

Answer 1