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K The diameter of a brand of tennis balls is approximately normally distributed with a mean of 2 72 inches and a standard deviation of 0 04 inch A random sample of 11 tennis balls is selected Ca through d below 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 11 will also be approximately normal B Because the population diameter of tennis balls is approximately normally distributed the sampling distribution of samples of size 11 cannot be found C Because the population diameter of tennis balls is approximately normally distributed the sampling distribution of samples of size 11 will be the uniform distribution OD Because the population diameter of tennis balls is approximately normally distributed the sampling distribution of samples of size 11 will not be approximately normal b What is the probability that the sample mean is less than 2 71 inches P X 2 71 0 2035 Round to four decimal places as needed c What is the probability that the sample mean is between 2 70 and 2 74 inches P 2 70 x 2 74 0 9027 Round to four decimal places as needed d The probability is 68 that the sample mean will be between what two values symmetrically distributed around the population mean The lower bound is 2 71 inches The upper bound is Round to two decimal places as needed inches

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