Assignment:
Consider the number of executives for all Seattle corporations with 500 or more employees:
12, 15, 5, 16, 7, 18, 15, 12, 4, 3, 22, 4, 12, 4, 6, 8, 4,
5, 6, 4, 22, 10, 11, 4, 7, 6, 10, 10, 7, 8, 26, 9, 11, 41,
4, 16, 10, 11, 12, 8, 5, 9, 18, 6, 5
a. Find the average number of executives per firm.
b. Find the (sample) standard deviation, and briefly interpret this value.
c. How many corporations are within one standard deviation from the average? How does this compare to what you expect for a normal distribution?
d. How many corporations are within two standard deviations from the average? How does this compare to what you expect for a normal distribution?
e. How many corporations are within three standard deviations from the average? How does this compare to what you expect for a normal distribution?
f. Draw a histogram of this data set and indicate limits of one, two, and three standard deviations on the graph. Interpret your answers to parts c, d, and e in light of the shape of the distribution.
Provide complete and step by step solution for the question and show calculations and use formulas.