Assignment
Instructions: There are 3 case studies in which you should use the appropriate methods to analyze the data given. In each case, try to explore as much as you can from the data. The managerial questions are guidelines. Please try to make comments for the findings and recommendations. You have to form a group of 3 or 4 people within your class and work in team. You must write up the formal report in which for each case study, you should at least present the following parts: -
Thee summ Th summar ary y of the the cont contex extt of the the cas casee study study..
-
Desc Descrript iptive ive stat statiistic sticss
-
Formal analysis analysis (Confidence (Confidence interv interval al or hypothesis hypothesis testing, testing, except except case study study 1).
-
Discussions
-
Recommendations
The deadline for submission of the report (hard copy) is on the day of the final exam of the course. The representative of the class will collect all the reports of all groups and send to me through the Faculty of Basic Sciences (Building B, level 2).
Case Study 1: National Health Care Association The Nation National al Health Health Care Care Associ Associati ation on is concern concerned ed about about the shorta shortage ge of nurses nurses the health health care care profession is projecting for the future. To learn the current degree of job satisfaction among nurses, the association sponsored a study of hospital nurses throughout the country. As part of this study, 50 nurses in the sample indicated their degree of satisfaction with 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. Data file named “Health”.
Managerial Report: Use methods methods of descri descripti ptive ve stati statisti stics cs to summar summarize ize the data. data. Presen Presentt the summar summaries ies that that will will be beneficial in communicating the results to others. Discuss your finding. Specifically, comment on the following questions:
1. On the basic of entire data set and 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 basic of descriptive measures of variability, what measure of fob satisfaction appears to generate the greatest difference 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 level of job satisfaction than the other types? Do your results suggest any recommendations for learning about and improving job satisfaction? Discuss. 4. What additional descriptive statistics and insights can you use to learn about and possibly improve job satisfaction?
Case study 2: Gulf Real Estate Properties Gulf Real Estate Properties, Inc., is a real estate firm located in southwestern Florida. The company
monitors condominium sales by collecting data on location, list price, sale price and number of days it talked to sale each unit. Each condominium is classified as Guft View if it located directly on the Gulf of Mexico or no Gulf View if it is located on the bay or golf course, near but not on the Gulf. Sample data from the Multiple Listing Service in Naples, Florida, provides recent sales data for 40 Gulf View condominium and 18 No Gulf View condominium. (The data file “GulfProp” is attached. Prices are in thousands of dollars).
Managerial Report: 1. Use appropriate descriptive statistics to summarize each of the three variables for the 40 Gulf View condominium and 18 No Gulf View condominium. 2. Compare your summary results. Discuss any specific statistical results that would help a real estate agent understand the condominium market. 3. Develop 95% CI estimate of the population mean sales price and population mean number of days to sell for both kinds of condominium. Interpret your results. 4. Assume a branch manager requested estimates of the mean selling price of Gulf View condominiums with the margin of error of $40,000 and the mean selling price of No Gulf View condominiums with the margin of error of $15,000. Using 95% confidence, how large should the sample size be? 5. Gulf Real Estate Properties just signed contracts for two new listing: a Gulf View condominium with a list price of $589,000 and a No Gulf View condominium with a list price of $285,000.
What is your estimate of the final selling price and number of days required to sell each of these units?
Case Study 3: Par, Inc. Par, Inc., is a major manufacturer of golf equipments. Management believes that Par’s market share could be increased with the introduction of a cut-resistant, longer-lasting golf ball. Therefore, the research group at Par has been investigating a new golf ball coating designed to resist cuts and provide a more durable golf. The tests with the coating have been promising. One of the researchers voiced concern about the effect of the new coating on driving distances. Par would like the new cut-resistant ball to offer driving distances comparable to those of the current-model golf ball. To compare the driving distances for the two balls, 40 balls of both the new and current models were subjected to distance tests. The testing was performed with a mechanical hitting machine so that any difference between the mean distanced for the two models could be attributed to a difference in the two models. The results of the tests, with distances measured to the nearest yard, follow. These data are available on the excel file “Golf”.
Managerial Report 1. Formulate and present the rationale for the hypothesis test that par could use to compare the driving distances of the current and new golf balls. 2. Analyze the data to provide the hypothesis testing conclusion. What is the p-value for the test? What is your recommendation for Par, Inc.? 3. Provide descriptive statistical summaries of the data for each model. 4. What is the 95% confidence interval for the population mean of each model, and what is the 95% Confidance Interval for the difference between the means of the two populations?