A and b. 30. A random sample of size n=100 is taken from a population of

Question:

A and b. σ 30. A random sample of size n=100 is taken from a population of size N=2,500 with mean µ = 245 and variance σ- =81.
a. Is it necessary to apply the finite population correction factor? Explain. Calculate the expected value and the standard error of the sample mean.
b. What is the probability that the sample mean is between 247 and 243?
c. What is the probability that the sample mean is greater than 244?