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 standard deviation of the sampling distribution of all possible samples of size 16?

The standard deviation of the sampling distribution of the sample mean is the population standard deviation divided by the square root of the sample size: 2.5 ÷ √16 = 2.5 ÷ 4 = 0.625 inches. Rounded to two decimal places, this is 0.63 inches, choice B.

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