The weights of extra-large eggs have a Normal distribution with a mean of 1 ounces and a standard deviation of 0.1 ounces.What is the sampling distribution of the sample mean weight of the eggs in a randomly selected carton of a dozen eggs?
A)N(1,0.029)
B)N(1,0.1)
C)N(12,0.1)
D)N(12,1)

Question

Quizplus · Accepted Answer

The sampling distribution of the sample mean weight of the eggs in a randomly selected carton of a dozen eggs can be described by a Normal distribution with a mean of the population mean (1 ounce) and a standard deviation of the population standard deviation divided by the square root of the sample size (0.1 ounces/sqrt(12) = 0.029 ounces). Therefore, the answer is A.

The Weights of Extra-Large Eggs Have a Normal Distribution with a Mean