The weights of people in a certain population are normally distributed with a mean of 157 lb and a standard deviation of 23 lb. Find the mean and standard error of the mean for this sampling distribution when using
Random samples of size 8.
A)157, 8.13
B)157, 23
C)157, 8
D)157, 2.88

Question

Quizplus · Accepted Answer

The mean of the sampling distribution of the sample mean is equal to the mean of the population, which is 157 lb. The standard error of the mean (SEM) is calculated as the population standard deviation divided by the square root of the sample size (n), so SEM = 23 / sqrt(8) = 8.13.

The Weights of People in a Certain Population Are Normally