The diameter o a brand tennis ba s is approximately no mal y distributed, with a

Question

The diameter o a brand tennis ba s is approximately no mal y distributed, with a mean2.63 inches and a standard de a ono 003 inch. A random sample Oenns als s selected. Complete ats 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 10 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 10 cannot be found. C. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 10 will also be approximately normal. O D Because the population diameter o tennis balls is approximately normally distributed, the sampling distribution o samples o size 10 will not be approximately normal. b.What is the probability that the sample mean is less than 2.62 inches? P(X

Explanation / Answer

from above as middle 59 % values fall between 20.5 and 79.5 percentile ;for which z score =-/+ 0.8239

hence lower bound =mean+z*std error =2.63-0.8239*0.0095 =2.62

upper bound =mean+z*std error =2.63+0.8239*0.0095 =2.64

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