Par, Inc.

Par., Inc., is a major manufacturer of golf equipment.Management believes that Par's market share could increase 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 ball.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 were subjected to distance tests.The testing was performed with a mechanical hitting machine so that any differences between the mean distances for the two models could be attributed to a difference in the two models.The results of the tests, with the distances measured to the nearest yard, follow.The complete data set can be found on Blackboard as an accompanying file called GOLF.xlsx.

Assignment:

1)Formulate and present the rationale for a one-tailed hypothesis test that Par could use to compare the driving distances of the current and new golf balls.

2)Use Excel or JMP to analyze the data to provide the hypothesis testing conclusions.In particular, state both the statistical decision and the proper interpretation of the statistical decision in the context of this analysis.Include the following information in your report:What is the -value for your test?What is your recommendation for Par, Inc.?

3)Use Excel or JMP to provide descriptive statistical summaries of the data for each model.(Consider Case study 1 for insights on the appropriate descriptive statistics to provide.)You may use Excel to construct suitable tables for inclusion in your final report.

4)Use Excel or JMP to construct the 95% confidence interval for the population mean of each model and the 95% confidence interval for the difference between the means of the two populations.

5)Provide your own personal recommendation to clearly answer the following question:Do you see a need for larger samples and more testing with the golf balls?Discuss.