The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.71 inches and a standard

[answerhappygod]

The Diameter Of A Brand Of Tennis Balls Is Approximately Normally Distributed With A Mean Of 2 71 Inches And A Standard 1 (37.3 KiB) Viewed 113 times

The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.71 inches and a standard deviation of 0.05 inch. A random sample of 12 tennis balls is selected. Complete parts (a) through (d) below. a. What is the sampling distribution of the mean? O A. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will be the uniform distribution. O B. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will also be approximately normal. O C. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will not be approximately normal. O D. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 cannot be found. b. What is the probability that the sample mean is less than 2.70 inches? P(X<2.70)=[ (Round to four decimal places as needed.) c. What is the probability that the sample mean is between 2.69 and 2.73 inches? P(2.69<X<2.73)= (Round to four decimal places as needed.) d. The probability is 56% that the sample mean will be centered between what two values, symmetrically distributed around the population mean (so that 28% of the area is less than the mean and 28% is greater than the mean)? inches. The lower bound is inches. The upper bound is (Round to two decimal places as needed.)