Critical Thinking Assignment

Choose one of the following two assignments to complete this Module. Do not do both assignments. Identify your assignment choice in the title of your submission.

Option 1 - Jackson County Judges

Jackson County judges try thousands of cases per year. In an overwhelming majority of the cases disposed, the verdict stands as rendered. However, some cases are appealed, and of those appealed, some of the cases are reversed. Jackie Chan of The Star Tribune conducted a study of cases handled by Jackson County judges over a three-year period. In the Excel file, Judges, linked at the bottom of the page, are the results for the 182,908 cases handled (disposed) by 40 judges in Common Pleas Court, Domestic Relations Court, and Municipal Court.

The purpose of the newspaper's study was to evaluate the performance of the judges. The newspaper wanted to know which judges were doing a good job and which ones were making too many mistakes. You are to assist in the data analysis by using your knowledge of probability and conditional probability to help with the ranking of each of the judges, as well as each court.

Managerial Report

Prepare a report (see below) with your ranking of the judges based on the probabilities and conditional probabilities, as well as the analysis of each court. Include the following seven (7) items in table format to support your ranking. Be sure to use five (5) decimal places for your probabilities in the table, as some of them will be quite small.

The probability of cases being appealed in each of the three different courts.
The probability of cases being reversed in each of the three different courts.
The probability of cases being reversed given an appeal in each of the three different courts.
The probability of a case being appealed for each judge.
The probability of a case being reversed for each judge.
The probability of reversal, given an appeal for each judge.

Rank the judges within each court for each of the probabilities in 4 - 6. In other words, only rank the judges in the Common Pleas court against the other judges in the Common Pleas court. perfrom the same analysis for the other two courts. Then, within each court, find the sum of the ranks and get an overall ranking for each judge. Evaluate and discuss the meaning of your results. Use tables, charts, graphs, or visual dashboards to support your findings.

Write a report that adheres to the Written Assignment Requirements under the heading "Expectations for CSU-Global Written Assignments" found in the CSU-Global Guide to Writing and APA Requirements. As with all written assignments at CSU-Global, you should have in-text citations and a reference page. An example paper is provided in the MTH410 Guide to Writing with Statistics,linked at the bottom of the page.
Your report must contain the following:

A title page in APA style.
An introduction that summarizes the problem.

The body of the paper should answer the questions posed in the problem by communicating the results of your analysis. Include results of calculations, as well as charts and graphs, where appropriate.

A conclusion paragraph that addresses your findings and what you have determined from the data and your analysis.

Submit your Excel file in addition to your report.

Option 2 - Critical Thinking: Sky Hospital Consortium

The Sky Hospital Consortium consists of 40 hospitals in various parts of the US. After being discharged, patients are given a survey to determine if they are satisfied with the overall service. In most cases patients are satisfied. However, some are dissatisfied. In addition, out of those who responded as being dissatisfied, some filed a formal complaint. In the Excel file, Hospitals, linked at the bottom of the page, are the results for the patients during a specific year. The Sky Hospital Consortium is divided into the West, Central, and East Regions.

The Sky Hospital Consortium wants to evaluate the performance of the hospitals. The Consortium wants to know which hospitals have the fewest complaints. You are to assist in the data analysis by using your knowledge of probability and conditional probability to help with the ranking of the hospitals, as well as each Region.

Managerial Report

Prepare a report (see below) with your ranking of the hospitals based on the probabilities and conditional probabilities, as well as the analysis of each region. Include the following seven (7) items in table format to support your ranking. Be sure to use five (5) decimal places for your probabilities in the table, as some of them might be quite small.

The probability of a patient responding "Dissatisfied" in each of the three different regions.
The probability of a patient filing a formal complaint in each of the three different regions.
The probability of a patient filing a formal complaint given a patient response of "Dissatisfied" in each of the three different regions.
The probability of a patient responding "Dissatisfied" for each hospital.
The probability of a patient filing a formal complaint for each hospital.
The probability of a patient filing a formal complaint given a patient response of "Dissatisfied" for each hospital.

Rank the hospitals within each region for each of the probabilities in 4 - 6. In other words, only rank the hospitals in the West region against the other hospitals in the West region. Perform the same analysis for the other two regions. Then, within each region, find the sum of the ranks and get an overall ranking for each hospital. Evaluate and discuss the meaning of your results. Use tables, charts, graphs, or visual dashboards to support your findings.