Assignment 5-Quantitative Methods I (Spring 2020) Names_______________________________________________________________________________________________________________________________

15.2 During last year’s budget crunch, several deserving employees of the Bureau of Procedures (BP) were denied promotions. This year, an unusual number of BP employees retired. The bureau chief suspects that the denial of promotions resulted in increased retirements. Of the 115 employees denied promotion, 32 retired. Of the 58 employees promoted, 9 retired. Present a contingency table, and analyze this information.

15.4 Auditors for the Military Airlift Command (MAC) are checking the arrival times of the three charter airlines they used in the Pacific last year. Branflake Airways flew 135 flights and was late 78 times. Flying Armadillo Airlines flew 94 flights and was late 35 times. Air Idaho flew 115 flights, with 51 late arrivals. Set up a contingency table, and analyze it for MAC.

16.4 Two scholars are locked in debate regarding the interpretation of the accompanying data. One insists that the relationship between the age of a child and the child’s perception of the parents is very strong; the other argues that no relationship exists. Why do the two scholars reach different conclusions? Analyze the table and resolve the dilemma. Is there a relationship between the age of a child and the child’s perception of the parents?

Age of Child (Years) Child’s Perception of Parents 5–15 16–27

Negative 11% 53%

Neutral 18% 27%

Positive 71% 20%

Total 100% 100%

16.6 The city parks commission has decided to redevelop a community park. Some members of the commission feel that refurbishment of existing park facilities is sufficient to meet the needs of the community; therefore, they advocate minimal redevelopment. Other members feel that such a small-scale project is pointless. They contend that improvement of the park will create greater public satisfaction with the park and thus will draw many more people than currently use it. An increase in patrons could exhaust existing facilities, thus necessitating further redevelopment. To resolve this disagreement, the commission hires a consultant to conduct a survey of community opinion. Among the questions asked are these: Do you regularly use the park? Do you consider park facilities satisfactory or unsatisfactory? From the cross-tabulation of these questions presented in the accompanying table, what should the consultant recommend to the commission?

Park Facilities Use Park Unsatisfactory Satisfactory

No 401 107

Yes 180 50

Total 581 157

Total 100% 100%