# 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

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 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 distances 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 website that accompanies this text in the file named Golf.

Managerial Report

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.

Analyze the data to provide the hypothesis testing conclusion. What is the p-value for your test? What is your recommendation for Par, Inc.?

Provide descriptive statistical summaries of the data for each model.

What is the 95% confidence interval for the population mean of each model, and what is the 95% confidence interval for the difference between the means of the two populations?

Do you see a need for larger sample sizes and more testing with the golf balls? Discuss.

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## Model Model Model Model Current New Current New 270 272 287 259 289 264 280 280 272 274 28 I 265 276 260 269 Current New 263 274 264 266 284 262 263 271 260 260 283 281 255 250 272 263 266 278 268 264 Current New 281 283 250 253 263 260 264 277 261 269 267 263 272 266 258 262 283 25 258 262 266 289 259 286 270 264 267 263 279 261 255 268 262 275 262 279

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## This case can provide discussion and differing opinions as to what hypothesis test should be conducted You should begin to see that logical arguments …View the full answer

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