The lengths of adult males' hands are normally distributed with mean 185 mm and standard deviation is 7 mm. Suppose that 48 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of x? ¤ - N( b. For the group of 48, find the probability that the average hand length is more than 184. c. Find the first quartile for the average adult male hand length for this sample size. Round to 2 decimal places. d. For part b), is the assumption that the distribution is normal necessary? O NoO Yes

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The lengths of adult males' hands are normally distributed
with mean 185 mm and standard deviation is 7 mm. Suppose
that 48 individuals are randomly chosen. Round all answers to
4 where possible.
a. What is the distribution of æ? ¤ - N(
b. For the group of 48, find the probability that the
average hand length is more than 184.
c. Find the first quartile for the average adult male hand
length for this sample size. Round to 2 decimal places.
d. For part b), is the assumption that the distribution is
normal necessary? O NoO Yes
Transcribed Image Text:The lengths of adult males' hands are normally distributed with mean 185 mm and standard deviation is 7 mm. Suppose that 48 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of æ? ¤ - N( b. For the group of 48, find the probability that the average hand length is more than 184. c. Find the first quartile for the average adult male hand length for this sample size. Round to 2 decimal places. d. For part b), is the assumption that the distribution is normal necessary? O NoO Yes
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