Model Model Model Model Current New Current New Current New Current New 264 277 270 272 263 274 281 283 261 269 287 259 264 266 274 250 263 266 289 280 262 271 267 264 284 273 253 272 280 263 263 260 258 262 272 274 260 260 275 270 283 251 275 281 283 281 267 263 258 262 265 276 255 250 279 261 266 289 260 269 272 263 274 255 259 286 278 268 266 278 276 263 270 264 275 262 268 264 262 279
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 the text.
Managerial Report
1.. 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.
2. Analyze the data to provide the hypothesis testing conclusion. What is the value for your test? What is your recommendation for Par, Inc.?
3. Provide
4. What is the 95% confidence interval for the population mean driving distance of each model, and what is the 95% confidence interval for the difference between the means of the two populations?
5. Do you see a need for larger sample sizes and more testing with the golf balls? Discuss.
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