MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 72 and a standard deviation of 16. A simple random sample of 25 is taken...

MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 72 and a standard deviation of 16. A simple random sample of 25 is taken from a population of 500.

d. What is the probability, rounded to four decimal places, that the average aptitude test in the sample will be greater than 82.68?

e. What is the probability, rounded to four decimal places, that the average aptitude test in the sample will be less than 78.69?

f. Find a value, C, such that P( x> C) = .15.