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Normal distribution of women-owned businesses

The following tables provide information about the top women-owned businessesin the U.S. The first table gives year 2000 revenue in millions of dollars and number of employees for Pennsylvania women-owned companies with year 2000 revenues of $70 million or higher. The second table gives the same information for Michigan women-owned companies with year 2000 revenues of $70 million or higher.

Pennsylvania Companies Michigan Companies
2000
Revenue
($ million) # of
employees 2000
Revenue
($ million) # of
employees
84 Lumber 2000 4400 Ilitch Holdings 800 700
Charming Shoppes 1600 12000 Plastech Engineered Products 420 3500
Rodale 500 1300 Jerome-Duncan Ford 350 300
Mothers Work 366.3 3800 Elder Ford 287.6 108
Harmelin Media 200 105 Patsy Lou Williamson Auto. Gp 221 240
McGettigan Partners 175 400 Mexican Industries 174 1463
Wetherill Associates 135 500 Rush Trucking 153 2000
Hanna Holdings 73.7 1284 Jaguar-Saab of Troy 143 134
Manpower Metro Detroit 118 250
Continental Plastics 107 650
Leco 82 800
Rodgers Chevrolet Geo 75 80
Strategic Staffing Solutions 75 600
Two Men & a Truck Internat'l 75 40
Systrand Manufacturing 72 230

a. Use a calculator or computer to compute the mean and standard deviation of the year 2000 revenue for the Pennsylvania companies in the first table.

b. Use a calculator or computer to compute the mean and standard deviation of the year 2000 revenue for the Michigan companies in the second table.

c. Explain what the values you calculated in parts a and b of this exploration tell you about the data sets.

d. How would the mean and standard deviations change if the largest data value in each set were removed?

e. Find the mean and the standard deviation of the number of employees for the Pennsylvania companies in the first table.

f. Find the mean and the standard deviation of the number of employees for the Michigan companies in the second table and compare to your results in part e of this exploration.

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Solution Summary

The solution examines normal distribution for women-owned businesses. The mean and standard deviation are determined.

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