The diameter of a brand of tennis balls is approximately normally distributed, with a mean of

2.752.75

inches and a standard deviation of

0.050.05

inch. A random sample of

1111

tennis balls is selected. Complete parts (a) through (d) below.

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Part 1

a. What is the sampling distribution of the mean?

A.

Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size

1111

will not be approximately normal.

B.

Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size

1111

will be the uniform distribution.

C.

Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size

1111

cannot be found.

D.

Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size

1111

will also be approximately normal.