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Sampling distribution of the Mean for Ping-Pong balls

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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 slect 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 1.28inches?
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?

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The expert examines sampling distribution of the mean for Ping-Pong balls.

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Let X denotes diameter of Ping-Pong balls. Given X follows Normal distribution with mean µ = 1.30 inches and standard deviation  = 0.04 inches. This is denoted by .

Let denotes the sample mean of ...

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