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Adult male hand

The lengths of adult males’ hands are normally distributed with mean 191 mm and standard deviation is 7.4 mm. Suppose that 17 individuals are randomly chosen. Round all answers to 4 where possible.
What is the distribution of
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x

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~ N(,)
For the group of 17, find the probability that the average hand length is less than 188.
Find the third quartile for the average adult male hand length for this sample size. Round to 2 decimal places.
For part b), is the assumption that the distribution is normal necessary? 

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