For the following questions, assume a normally distributed population.
a. Given μ=20, σ=4, and n=16, compute the standard error of the mean.
b. Given μ20, σ=4, and n=400, compute the standard error of the mean.
c. Given μ=20, σ=1, and n=16, compute the standard error of the mean.
d. Given μ=500, σ=4, and n=16, compute the standard error of the mean.
e. How does the standard error of the mean change when the population mean, population standard deviation, and sample size change?