The lengths of adult males' hands are normally distributed with mean 195 mm and standard deviation is 7.1 mm. Suppose that 40 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? - NC b. For the group of 40, find the probability that the average hand length is less than 196. c. Find the third 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 No Yes

MATLAB: An Introduction with Applications
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The lengths of adult males' hands are normally distributed with mean 195 mm and standard deviation is 7.1
mm. Suppose that 40 individuals are randomly chosen. Round all answers to 4 where possible.
a. What is the distribution of ? N(
b. For the group of 40, find the probability that the average hand length is less than 196.
c. Find the third 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? No Yes
Transcribed Image Text:The lengths of adult males' hands are normally distributed with mean 195 mm and standard deviation is 7.1 mm. Suppose that 40 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? N( b. For the group of 40, find the probability that the average hand length is less than 196. c. Find the third 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? No Yes
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