The diameter of a brand of tennis balls is approximately .pdf

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Question : 16. The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 3 inches and a standard deviation of 0.05 inch. If you select a random sample of 16 tennis balls, a) what is the mean of the sampling distribution? b) what is the probability that the sample mean is less than 2.98 inches? (4 d.p.) c) what is the probability that the sample mean is more than 3.01 inches? (4 d.p.) d) what is the probability that the sample mean is between 2.99 and 3.01 inches? (4 d.p.) e) The probability is 95% that the sample mean will be between what two values
= P(z < -1.6) =1-P(z < 1.6) =1-0.9452 = 0.0548 Therefore, the probability =0.0228 (c). = P(z > 0.8) =1-P(z < 0.8)

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