The lengths of adult males' hands are normally distributed with mean 186 mm and standard deviation is 7.4 mm. Suppose that 44 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ¤? ¤ ~ N( b. For the group of 44, find the probability that the average hand length is more than 187. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? O YesO No

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The lengths of adult males' hands are normally distributed with mean 186 mm and standard deviation is 7.4
mm. Suppose that 44 individuals are randomly chosen. Round all answers to 4 where possible.
a. What is the distribution of x? ¤ - N(
b. For the group of 44, find the probability that the average hand length is more than 187.
c. Find the first quartile for the average adult male hand length for this sample size.
d. For part b), is the assumption that the distribution is normal necessary? O YesO No
Transcribed Image Text:The lengths of adult males' hands are normally distributed with mean 186 mm and standard deviation is 7.4 mm. Suppose that 44 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of x? ¤ - N( b. For the group of 44, find the probability that the average hand length is more than 187. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? O YesO No
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