The file Salaries contains the annual salary for all faculty at a small state college in the Midwest. Assume that these faculty salaries represent the population of interest.

a. Compute the population mean and population standard deviation.

b. Develop a frequency distribution of these data using 10 classes. Do the population data appear to be normally distributed?

c. What is the probability that a random sample of 16 faculty selected from the population would have a sample mean annual salary greater than or equal to

$56,650?

d. Suppose the following 25 faculty were randomly sampled from the population and used to estimate the population mean annual salary:

Faculty ID Number 137 040 054 005 064 134 013 199 168 027 095 065 193 059 192 084 176 029 143 182 009 033 152 068 044 What would the sampling error be?

e. Referring to part

d, what is the probability of obtaining a sample mean smaller than the one obtained from this sample?