Question: The average annual salary for federal government employees in Indiana is $41, 979 and the standard deviation of all government employees is $5,000. A random sample of 50 federal government employees is selected.

a. Determine the standard error.

b. Find the probability that the sample mean will be within $1000 of the population mean.

c. How would the probability in (b) change if the sample size was increased to 100?