The lengths of adult males' hands are normally distributed with mean 186 mm and standard deviati

First, we need to find the distribution of the sample mean. Since the population is normally dis

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The lengths of adult males' hands are normally distributed with mean 186 mm and standard deviation is 7 mm. Suppose that 13 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of x?? x? ~ N( , ) b. For the group of 13, find the probability that the average hand length is less than 187. c. Find the third 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? No Yes

          The lengths of adult males' hands are normally distributed with mean 186 mm and standard deviation is 7 mm. Suppose that 13 individuals are randomly chosen. Round all answers to 4 where possible.

a. What is the distribution of x?? x? ~ N( , )
b. For the group of 13, find the probability that the average hand length is less than 187.
c. Find the third 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? No Yes

The lengths of adult males' hands are normally distributed with mean 186 mm and standard deviation is 7 mm. Suppose that 13 individuals are randomly chosen. Round all answers to 4 where possible.

a. What is the distribution of x?? x? N( , )
b. For the group of 13, find the probability that the average hand length is less than 187.
c. Find the third 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? No Yes

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