101 CASE STUDY Business Size Case Study 101 State Number of manufacturing businesses California 37,849 Illinois 13,154 Indiana 8,045 Michigan 12,400 New York 15,488 Ohio 13,902 Pennsylvania 13,502 Texas 19,764 Wisconsin 8,817 The number of employees at businesses can vary from a single employee to more than 1000 employees. The data shown below are the number of manufacturing businesses for nine states in a recent year. (Source: U.S. Census Bureau) Number of Manufacturing Businesses by Number of Employees State 1–4 5–9 10–19 20–49 50–99 100–249 250–499 500–999 1000+ California 15,464 6,929 5,690 5,253 2,212 1,599 456 161 85 Illinois 4,5132,2392,0002,1051,074 839 257 92 35 Indiana 2,2131,2881,2661,370 797 701 244 120 46 Michigan 4,0072,0622,0431,9521,039 858 282 105 52 New York 6,8092,7262,2452,030 838 565 188 60 27 Ohio 4,0792,4102,2832,3701,266 989 326 126 53 Pennsylvania4,3232,3742,2132,2691,054 879 274 82 34 Texas 7,171 3,472 2,990 3,157 1,376 1,079 312 140 67 Wisconsin 2,5811,3711,3111,520 900 757 241 102 34 Use the information given in the above tables. 1. Employees Which state has the greatest number of manufacturing employees? Explain your reasoning. 2.Mean Business Size Estimate the mean number of employees at a manufacturing business for each state. Use 1500 as the midpoint for “1000+.” 3. Employees Which state has the greatest number of employees per manufacturing business? Explain your reasoning. 4.Standard Deviation Estimate the standard deviation for the number of employees at a manufacturing business for each state. Use 1500 as the midpoint for “1000+.” 5.Standard Deviation Which state has the greatest standard deviation? Explain your reasoning. 6. Distribution Describe the distribution of the number of employees at manufacturing businesses for each state. EXERCISES
RkJQdWJsaXNoZXIy NjM5ODQ=