1 A company accountant prepared a report stating that 90 of

1- A company accountant prepared a report stating that 90% of the company’s employees earn less than the mean salary. A company executive insists this is not possible; that the accountant must have made a mistake. Explain to the executive why the information that the accountant reports can be possible.

2- If you had data for a sample of students at LSU on the amount of money spent in the previous year on overnight stays in a hospital, probably the median and mode would be $0 but the mean would be a positive number. Explain why. Make reference to the definitions of median, mode, and mean in your explanation. (You can use an example to explain, if you want.)

3- Suppose that a pharmaceutical company has been contracted by Walgreen’s to produce their generic brand of 200 mg ibuprofen tablets. Four different manufacturing processes are being investigated. Approximately 100 tablets are collected for inspection from each of four processes and the dot plots of their potencies (in mg) are given in Figure II (see last page). Write a paragraph comparing these distributions. Your paragraph should contain information about the center and variability in the potencies for each of the processes and should include answers to the following questions:
-Which process is the best and why?
-Which process is the most stable, i.e., has the least variability in potency?
   -Which process is the least stable, i.e., has the most variability in potency?
-Which two processes have very similar ranges, but actually have different levels of variability? Which one of the two has less variability?

Solution

1)

This is possible because the mean of salaries are easily influenced by extreme values, that is, very high or very low values.

In this case, 90% of the employees earn less than the mean salary, which is possible if there are enough employees with \"extremely high\" salaries, thus, pulling the mean up.

If the mean is high, then indeed, many employees will earn lower than that (in this case, 90% of employees).

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