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The diameter of ping-pong balls manufactured at a large

Question: The diameter of Ping-Pong balls manufactured at a large factory is approximately normally distributed, with a mean of 1.30 inches and a standard deviation of 0.04 inch. If you select a random sample of 16 Ping-Pong balls,

a. what is the sampling distribution of the mean?

b. what is the probability that the sample mean is less than 1.28 inches?

c. what is the probability that the sample mean is between 1.31 and 1.33 inches?

d. The probability is 60% that the sample mean will be between what two values, symmetrically distributed around the population mean?

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