(Answered) Question the file salaries contains the annual salary for

Statistics

Question: 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:

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?

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