Question

MAT 110 Statistics Lab 1. The following is a list of starting salaries for an entry level office administrator in one rural town (Apple City) in the Midwest. Use this information to answer the questions below. 28800 29000 27900 30600 27100 29700 30200 28600 29200 30400 28200 27100 30700 30700 29600 28800 28200 27400 27800 30600 29900 28000 27600 27100 30200 27100 29400 26800 27800 30300 a. What is the mean salary? Mean= 864800 ÷ 30 = 28,826.7 b. What is the standard deviation?

ST= 1,301.237

c. What is the range?

Range =30700-26800=3900

2. The following is a list of starting salaries for a similar job in a rural town (Banana City) in a neighboring state. Answer the following questions about this set of data. 20400 25100 20700 19200 34100 20000 33100 20100 24900 20900 25800 29500 27100 31200 32700 20500 21700 30700 21400 23000 31800 28200 20100 30100 26400 32800 32100 22100 23600 24600

a. What is the mean salary?

Mean= 773900/30 = 25,796.

7 b. What is the standard deviation? ST= 5,823.537

c. What is the range?

Range= 34100-19200=14900

3. For Apple City, find the range of salaries that you expect to contain the middle 95% of starting salaries. (Hint: use the Empirical Rule.)

4. For Banana City, find the range of salaries that you expect to contain the middle 95% of starting salaries.

5. Your friend is considering moving to these two cities and will work in office administration. Which of these two cities would you recommend? Why? For full credit, you must write your explanation in complete sentences using your calculations above.

Answer 1