Par, Inc. is a major manufacturer of golf equipment. Management believes that Par's market share could be increased with the introduction of a...

Par, Inc. is a major manufacturer of golf equipment. Management believes that Par’s marketshare 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 andprovide a more durable ball. The tests with the coating have been very promising.One of the researchers voiced concern about the effect of the new coating on driving distance.Par would like the new cut-resistant ball to offer driving distances comparable to those of thecurrent-model golf ball. To compare the driving distances for the two balls, 40 balls of each typewere subjected to distance tests. The testing was performed with a mechanical hitting machineso that any difference between the mean distances for the two models could be attributed to adifference in the design. The results of the tests, with distances measured to the nearest yard,follow.Currentmodel264261267272258283258266259270Newmodel277269263266262251262289286264Currentmodel270287289280272275265260278275Newmodel272259264280274281276269268262Currentmodel263264284263260283255272266268Newmodel274266262271260281250263278264Currentmodel281274273263275267279274276262Newmodel283250253260270263261255263279Managerial Report:1. Formulate and present the rationale for a 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 (use 0.05 level of significance).What is the p-value (significant probability) for your test? What is your recommendation forPar, Inc.?3. Provide descriptive statistical summaries of the data for each model.4. Do you see a need for larger sample sizes and more testing with the golf balls? Discuss.