1
QuizMultiple Choice

Sampling Distribution of the Sample Mean

Question 1 • NC-Math 4

The heights of five-year-olds are Normally distributed with a mean of 42.5 inches and a standard deviation of 2.5 inches. A random sample of 16 five-year-olds is taken and the mean height is recorded. What would be the mean of the sampling distribution of all possible samples of size 16?

Answer
A
2.66
B
10.63
C
17
D
42.5

Explanation

The mean of the sampling distribution of the sample mean equals the population mean, regardless of the sample size. Since the population mean height is 42.5 inches, the sampling distribution also has a mean of 42.5 inches. The correct choice is D, 42.5.

AI-written and checked against the verified answer.

Next