The lengths of adult males' hands are normally distributed with mean 190 mm and standard deviation is 7.5 mm. Suppose that 7 individuals are randomly chosen. Round all answers to 4 where possible....

The lengths of adult males' hands are normally distributed with mean 190 mm and standard deviation is 7.5 mm. Suppose that 7 individuals are randomly chosen. Round all answers to 4 where possible.

1. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)


2. For the group of 7, find the probability that the average hand length is more than 189.


3. Find the first quartile for the average adult male hand length for this sample size.


4. For part b), is the assumption that the distribution is normal necessary? NoYes