Determine muxand sigmax from the given parameters of the pop

Determine mu_x-and sigma_x- from the given parameters of the population and the sample size. Round the answer to the nearest thousandth where appropriate. mu = 49, sigma = 25. n = 25

Solution

The sampling distribution would have the same mean, so u(X) = 49 as well.

The standard deviation would be

sigma(X) = sigma/sqrt(n) = 25/sqrt(25) = 5.

Hence,

OPTION B: u(X) = 49, sigma(X) = 5 [ANSWER, B]