SOLUTION: The heights of the male students at Wild West College are normally distributed with a mean of 69 inches and a standard deviation of 3.1 inches. If nine male WWC students are chosen

Question 1186967: The heights of the male students at Wild West College are normally distributed with a mean of 69 inches and a standard deviation of 3.1 inches. If nine male WWC students are chosen at random, find the probability that the mean height of the nine students will exceed 70.6 inches.
Round your answer to four decimal places.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
the distribution of the 4 people has mean of 69 inches, same as the population, with sd 3.1/sqrt(9)=1.03 inches
z=(x-mean)/sd
=1.6/1.0333
=1.548
z> 1.548 with probability of 0.0608.
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