Business Statistics

Topics: Statistics, Statistical hypothesis testing, Statistical inference Pages: 11 (3178 words) Published: August 28, 2013
Case Problem 1: National Health Care Association(Descriptive Statistics)

The National Health Care Association is concerned about the shortage of nurses the health care profession is projecting for the future. To learn the current degree of job satisfaction among nurses, the association has sponsored a study of hospital nurses throughout the country. As part of this study, a sample of 50 nurses was asked to indicate their degree of satisfaction in their work, their pay and their opportunities for promotion. Each of the three aspects of satisfaction was measured on a scale from 0 to 100, with larger values indicating higher degrees of satisfaction. The data collected also showed the type of hospital employing the nurses. The types of hospitals were private (P), Veterans Administration (VA) and University (U). The complete data set is on the file named “Health”.

Managerial Report:

Use methods of descriptive statistics to summarize the data. Present the summaries that will be beneficial in communicating the results to others. Discuss your findings. Specifically, comment on the following questions.

1. On the basis of the entire data set and the three job satisfaction variables, what aspect of the job is most satisfying for the nurses? What appears to be the least satisfying? In what area(s), if any, do you feel improvements should be made? Discuss 2. On the basis of descriptive measures of variability, what measure of job satisfaction appears to generate the greatest difference of opinion among the nurses? Explain 3. What can be learned about the types of hospitals? Does any particular type of hospital seem to have better levels of job satisfaction than the other types? Do your results suggest any recommendations for learning about and/or improving job satisfaction? Discuss 4. What additional descriptive statistics and insights can you use to learn about and possibly improve job satisfaction?

(This case problem is due to Anderson, Sweeney, and Williams for Classroom Discussion)

Case Problem 2: Hamilton County Judges(Probability)

Hamilton County judges try thousands of cases per year. In an overwhelming majority of cases disposed, the verdict stands are rendered. However, some cases are appealed, and of those appealed, some of the cases are reversed. Kristen DelGuzzi of the The Cincinnati Enquirer conducted a study of cases handled by Hamilton County judges over the years 1994 through 1997 (The Cincinnati Enquirer, January 11, 1998). Shown in Data File “Judge” are the results for 182,908 cases handled (disposed) by 38 judges in Common Pleas Court, Domestic Relations Court and Municipal Court. Two of the judges (Dinkelacker and Hogan) did not serve in the same court for the entire three-year period.

The purpose of the newspaper’s study was to evaluate the performance of the judges. Appeals are often the result of mistakes made by judges and the newspaper wanted to know which judges were doing a good job and which were making too many mistakes. You have been called in to assist in the data analysis. Use your knowledge of probability and conditional probability to help with the ranking of the judges. You also may be able to analyze the likelihood of cases handled by different courts being appealed and reversed.

Managerial Report:

Prepare a report with your rankings of the judges. Also, include an analysis of the likelihood of appeal and case reversal in the three courts. At a minimum your report should include the following:

1. The probability of cases being appealed and reversed in the three different courts

2. The probability of a case being appealed for each judge

3. The probability of a case being reversed for each judge

4. The probability of reversal given an appeal for each judge

5. Rank the judges within each court. State the criteria you used and provide a rationale for your choice.

(This case problem is due to Anderson, Sweeney, and Williams...
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