The weights of medium oranges packaged by an orchard are Normally distributed with a mean of 14 ounces and a standard deviation of 2 ounces.Ten medium oranges will be randomly selected from a package.What is the sampling distribution of the sample mean weight of a random sample of 10 medium oranges?
A)N(14,2)
B)N(14,0.63)
C)N(14,0.2)
D)N(1.4,0.2)

Question

Quizplus · Accepted Answer

The sampling distribution of the sample mean can be modeled by a Normal distribution with a mean equal to the population mean (14) and a standard deviation equal to the population standard deviation divided by the square root of the sample size (2/sqrt(10) ≈ 0.63). Therefore, the answer is N(14,0.63).

The Weights of Medium Oranges Packaged by an Orchard Are