Case Study 3: Par, Inc.Par, Inc., is a major manufacturer of golf equipments. Management believes that Par’s market sharecould be increased with the introduction of a cut-resistant, longer-lasting golf ball. Therefore, theresearch group at Par has been investigating a new golf ball coating designed to resist cuts andprovide 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. Parwould 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 andcurrent models were subjected to distance tests. The testing was performed with a mechanicalhitting machine so that any difference between the mean distanced for the two models could beattributed to a difference in the two models. The results of the tests, with distances measured to thenearest 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 thedriving distances of the current and new golf balls.2.Analyze the data to provide the hypothesis testing conclusion. What is the p-value for thetest? 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 the95% CI for the difference between the means of the two populations?5.Do you see a need for the larger sample sizes and more testing with the golf balls? Discuss.
30Case study 3: Par, Inc.1. Formulate and present the raTonale for the hypothesis test that par could useto compare the driving distances of the current and new golf balls.Formulatng and presentng The ratonale for a hypoThesis TesT ThaT Par, Inc. To compare The drivingdisTance of The currenT and new golf balls.The result of test on the durability of the improved product another issue has been raised and this is the effect of the new coating on driving distances. 40 balls of both the new and current models were subjected to distance test. They are independent sample and test follows a large sample case.The hypothesis and alternative hypothesis are formulated as follow:Mean distance of current-model balls: µ1. Mean distance of new cut-resistant balls: µ2.H0: µ1 = µ2 (Mean distance of current balls equals mean distance of new balls)H1: µ1 ≠ µ2 (Mean distance of current balls does not equal mean distance of new balls)Specify the level of significance. α = 0.05 so z = 1.96