The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.56 inches and a standard deviation of 0.04 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 cannot be found. O B. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will not be approximately normal. c. 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 D. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will be the uniform distribution. b. What is the probability that the sample mean is less than 2.54 inches? PÃ<2.54) =D (Round to four decimal places as needed.)
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.56 inches and a standard deviation of 0.04 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 cannot be found. O B. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will not be approximately normal. c. 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 D. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will be the uniform distribution. b. What is the probability that the sample mean is less than 2.54 inches? PÃ<2.54) =D (Round to four decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.56 inches and a standard deviation of 0.04 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?
A. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 cannot be found.
B. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will not be approximately normal.
C. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will also be approximately normal.
D. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 12 will be the uniform distribution.
b. What is the probability that the sample mean is less than 2.54 inches?
P(X<2.54) =
(Round to four decimal places as needed.)
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