The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63 inches and a standard deviation of 0.06 inch. A random sample of 11 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 11 will not be approximately normal. OB. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 11 will be the uniform distribution. C. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 11 will also be approximately normal. OD. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 11 cannot be found. b. What is the probability that the sample mean is less than 2.60 inches? P(X<2.60)= 0.0486 (Round to four decimal places as needed.) c. What is the probability that the sample mean is between 2.62 and 2.64 inches? P(2.62 <<2.64)= (Round to four decimal places as needed.)
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63 inches and a standard deviation of 0.06 inch. A random sample of 11 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 11 will not be approximately normal. OB. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 11 will be the uniform distribution. C. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 11 will also be approximately normal. OD. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution of samples of size 11 cannot be found. b. What is the probability that the sample mean is less than 2.60 inches? P(X<2.60)= 0.0486 (Round to four decimal places as needed.) c. What is the probability that the sample mean is between 2.62 and 2.64 inches? P(2.62 <<2.64)= (Round to four decimal places as needed.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63 inches and a standard
deviation of 0.06 inch. A random sample of 11 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 11 will not be approximately normal.
B. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution
of samples of size 11 will be the uniform distribution.
C. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution
of samples of size 11 will also be approximately normal.
OD. Because the population diameter of tennis balls is approximately normally distributed, the sampling distribution
of samples of size 11 cannot be found.
b. What is the probability that the sample mean is less than 2.60 inches?
P(X <2.60) = 0.0486
(Round to four decimal places as needed.)
c. What is the probability that the sample mean is between 2.62 and 2.64 inches?
P(2.62 <<2.64)=
(Round to four decimal places as needed.)
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