Par, Inc., is a major manufacturer of golf equipment. 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 ball. The tests with the coating have been promising.
One of the researchers voiced concerned 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 its current-model golf ball. To compare the driving distances for the two balls, 40 balls of each type were subjected to distances between to distance test. The testing was performed with a mechanical hitting machine so that any difference between the mean distances for the two models could be attributed to a difference in the design. The results of the test, with distances measured to the nearest yard, follow. Attached are the data.
1. Provide descriptive statistical summaries of the date for each model
2. Formulate and present the rationale for a hypothesis test that Par could use to compare the driving distances of the current and new golf balls.
3 Analyze the date to provide the hypothesis testing conclusion. What is the p-value for your test? What is your recommendation for Par, Inc?
4. Do you see a need for larger sample sizes and more testing with the golf balls? Discuss
The solution gives the step by step procedure for comparing the average driving distance of golf ball with two types of coatings . Null hypothesis, alternative hypothesis, critical value, p value and test statistics are given with interpretations.