15. The following table gives the average annual pay, per state, in the years 1992 and 1993.

(a) Do you think that the sample mean of the averages for the 50 states will equal the value given for the entire United States?

(b) If the answer to part

(a) is no, explain what other information aside from just the 50 averages would be needed to determine the sample mean salary for the entire country. Also, explain how you would use the additional information to compute this quantity.

(c) Find the sample median of the averages for 1992 and for 1993.

(d) Find the sample mean of the 1992 averages of the first 10 states listed.

(e) Find the sample standard deviation of the 1993 averages of the last 10 states listed.

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Average Annual Pay Average Annual Pay State 1992 1993 State 1992 1993 United States... 25,897 26,362 Missouri. 23,550 23,898 Alabama. 22,340 22,786 Montana. 19,378 19,932 Alaska. 31,825 32,336 Nebraska. 20,355 20,815 Arizona 23,153 23.501 Nevada 24,743 25,461 Arkansas. 20,108 20,337 New Hampshire. 24,866 24,962 California 28,902 29,468 New Jersey.. 32,073 32,716 Colorado.. 25,040 25,682 New Mexico.. 21,051 21,731 Connecticut. 32,603 33,169 New York...... 32,399 32,919 Delaware..... 26,596 27,143 North Carolina.. 22,249 22,770 District of Columbia... 37,951 39,199 North Dakota... 18,945 19,382 Florida.. 23,145 23,571 Ohio. 24,845 25.339 Georgia. 24,373 24,867 Oklahoma 21,698 22,003 Hawaii 25,538 26,325 Oregon.. 23,514 24,093 Idaho.. 20,649 21,188 Pennsylvania. 25,785 26,274 Illinois. 27,910 28,420 Rhode Island.... 24,315 24,889 Indiana 23,570 24,109 South Carolina 21,398 21,928 Iowa.. 20,937 21,441 South Dakota... 18,016 18,613 Kansas. 21,982 22,430 Tennessee.. 22,807 23.368 Kentucky 21,858 22,170 Texas.. 25,088 25,545 Louisiana 22,342 22,632 Utah 21,976 22,250 Maine 21,808 22,026 Vermont.. 22,360 22,704 Maryland.. 27,145 27,684 Virginia... 24,940 25,496 Massachusetts 29,664 30,229 Washington. 25,553 25,760 Michigan. 27,463 28,260 West Virginia.... 22,168 22,373 Minnesota 25,324 25,711 Wisconsin.. 23,008 23,610 Mississippi. 19,237 19,694 Wyoming.. 21,215 21,745 Source: U.S. Bureau of Labor Statistics, Employment and Wages Annual Averages 1993; and USDL News Release 94-451, Average Annual Pay by State and Industry, 1993.