Suppose a sample of n = 50 items is drawn from a population of manufactured products and the weight, X, of each item is recorded. Prior experience has shown that the weight has a probability distribution with mu = 6 ounces and sigma = 2.5 ounces. Which of the following is true about the sampling distribution of the sample mean if a sample of size 50 is selected?
A. The mean of the sampling distribution is 6 ounces.
B. The standard deviation of the sampling distribution is 2.5 ounces.
C. The shape of the sample distribution is approximately normal.
D. All of the above are correct.
Answer:A
Suppose a sample of n = 50 items is drawn from a population of manufactured products and the weight, X, of each item is recorded. Prior experience has shown that the weight has a probability distribution with mu = 6 ounces and sigma = 2.5 ounces. Which of the following is true about the sampling distribution of the sample mean if a sample of size 50 is selected?
A. The mean of the sampling distribution is 6 ounces. B. The standard deviation of the sampling distribution is 2.5 ounces. C. The shape of the sample distribution is approximately normal. D. All of the above are correct.