The diameter of small Nerf balls manufactured at a factory in China is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of .08 inches.Suppose a random sample of 20 balls is selected.Calculate the mean of the sampling distribution of the sample mean.
A)5.2
B)0.8
C)0.08
D)0.018

Question

Quizplus · Accepted Answer

The mean of the sampling distribution of the sample mean is equal to the population mean, which is 5.2 inches. Therefore, the correct choice is A. The standard deviation of the sampling distribution of the sample mean can be calculated as 0.08/sqrt(20) = 0.018, but this is not what the question is asking for.

The Diameter of Small Nerf Balls Manufactured at a Factory