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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.
in a class of 50 students the result of a particular examination is a true mean of 70 and a true variance of 12. it is
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X1, X2, X3, ... Xn are n independent, identically distributed random variables with expectation of 5 and variance of 4 (E[Xi] = 5, Var (Xi) = 4) and n is large. Determine Var(Y)?
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