Tests on golf ball coating. I don't know how to set it up or solve. 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 ballos, 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. 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 p-value for your test? What is your recommendation for Par, Inc.? 3. Provide descriptive statistical summaries of the data for each model. 4. 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? 5. Do you see a need for larger sample sizes and more testing with the golf balls? Discuss. DATA TABLE Current New 264 277 261 269 267 263 272 266 258 262 283 251 258 262 266 289 259 286 270 264 263 274 264 266 284 262 263 271 260 260 283 281 255 250 272 263 266 278 268 264 270 272 287 259 289 264 280 280 272 274 275 281 265 276 260 269 278 268 275 262 281 283 274 250 273 253 263 260 275 270 267 263 279 261 274 255 276 263 262 279