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Suppose a sample of n = 15 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 mean = 6
ounces and standard deviation = 2.5 ounces. Which of the following is true about the sampling distribution of
the sample mean if a sample of size 15 is selected?
A. All of the others are correct.
B. The mean of the sampling distribution is 6 ounces.
C. The standard deviation of the sampling distribution is 2.5 ounces.
D. The shape of the sample distribution is approximately normal.
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