A random sample is selected from a population with mean μ = 100 and standard deviation...

A random sample is selected from a population with mean μ = 100 and standard deviation σ = 10. Determine the mean and standard deviation of the sampling distribution for each of the following sample sizes:

a. n = 9

b. n = 15

c. n = 36

d. n = 50

e. n = 100

f. n = 400