The employees of XTEST Corporation have to pass a basic knowledge test. The scores of the test are normally distributed with mean 75 and a standard deviation of 15. A simple random sample of 25 employees is taken from a population of 500.

1. What is the expected value of the sampling distribution of X?The result should be given to two decimal places (e.g. if the results is 45.336 write 45.34)

2.What is the standard deviation of the sampling distribution of X ? The result should be given to two decimal places (e.g. if the results is 45.336 write 45.34)

3.What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14? Your answer should be between 0 and 1 with four digits after the period (e.g. 0.5612).

4.Find a value, C, such that P(xC)=0.15. The result should be given to two decimal places (e.g. if the results is 45.336 write 45.34)