14.58 [EX14-58] Readers Digest (July 2005) did a special report on Americas Cleanest [and Dirtiest] Cities. The

Question:

14.58 [EX14-58] Reader’s Digest (July 2005) did a special report on “America’s Cleanest [and Dirtiest]

Cities.” The 50 most populous U.S. cities were compared and ranked based on air pollution, water pollution, toxic emissions, hazardous waste, and sanitation force. The top 10 cleanest cities follow. As noted, air pollution is one of the major factors.

Does it have a significant influence on the ranking of the cities or is it a combination of factors?

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a. Rank the air pollution scores based on the knowledge that a score of 50 is the highest and cleanest score.

b. Compute the Spearman rank correlation coefficient for the two rankings.

c. At the 0.05 level of significance, determine whether there is a significant relationship between a city’s rank and its corresponding air pollution score.

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