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Q1) Diameter of Ping-Pong balls manufactured at large factory is expected to be approximately normally distributed with mean of 1.30 inches and standard deviation of 0.04 inches. Determine the probability that a randomly selected Ping-Pong ball will have a diameter of:

a) Between 1.28 and 1.30 inches?

b) Between 1.31 and 1.33 inches?

c) Between what two values will 60% of Ping-Pong balls fall (in terms of the diameter)? If arbitrary samples of 16 Ping-Pong balls were selected,

d) What proportion of sample means would be between 1.31 and 1.33 inches? If random samples of 100 Ping-Pong balls were selected,

e) What proportion of sample means would be between 1.31 and 1.33 inches?

f) Compare your results in (b), (d) and (e).

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