Question: John Patrick Vannelli, the mayor of Snowy Bluff s, Florida, is concerned about the number of complaints his office has received concerning service at the

John Patrick Vannelli, the mayor of Snowy Bluff s, Florida, is concerned about the number of complaints his office has received concerning service at the public library. Most of the complaints center on the long wait times and slow service when checking out books. The director of the library has been asked to explain why complaints are increasing. He argues that the trend in complaints is due to the continued growth in the number of patrons using library services, coupled with budget constraints that prevent him from hiring more employees. The data on the number of complaints received and patrons served for the last 10 quarters appear below:

2009 Q1 Q2 Q3 Q4 2010 Q1 Q2 Q3 Q4 2011 Q1

(a) Because the highest number of patrons served per quarter is below 1,500, the director feels that the number of complaints per 100 patrons each quarter is a reasonable way to present the data. Assist the director by performing the calculations and tabulating the results.

(b) Based on the results, which argument—if either—do the data support?

2009 Q1 Q2 Q3 Q4 2010 Q1 Q2 Q3 Q4 2011 Q1 Q2 Number of Complaints 26 25 28 35 33 37 41 44 45 50 Number of Patrons Served 1,141 1,130 1,205 1,190 1,170 1,240 1,251 1,358 1,404 1,490

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