The weights of men in a particular age group have mean μ = 170 pounds and standard deviation σ = 24 pounds.
a. For randomly selected samples of n = 16 men, what is the standard deviation of the sampling distribution of possible sample means?
b. For randomly selected samples of n = 64 men, what is the standard deviation of the sampling distribution of possible sample means?
c. In general, how does increasing the sample size affect the standard deviation of the sampling distribution of possible sample means? Parts (a) and (b) provide a hint.