Par, Inc. Par, Inc. is a leading manufacturer of golf equipment. Par's manager believes that the company's market share will increase with the introduction of a highly durable, cut-resistant golf ball. To this end, Par's research group has been testing a new coating for the balls, designed to give resistance to cuts and provide a product with greater durability. Testing done with the coating has been promising. One of the researchers expressed concern about the effect of the new coating on the ball's travel distance. Par wants the new cut-resistant model to offer a travel distance comparable to today's golf balls. To compare the travel distance of the two types of balls, 40 of each model were subjected to distance tests, which were carried out with a ball-throwing machine in order that the difference between the average flight distances between the two models could be attributed to its different peculiarities. The results of the tests, with the distances expressed to the nearest yard, are presented in the table on the next pag

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Par, Inc.
Par, Inc. is a leading manufacturer of golf equipment. Par's manager believes that the company's market share will increase with the introduction of a highly durable, cut-resistant golf ball. To this end, Par's research group has been testing a new coating for the balls, designed to give resistance to cuts and provide a product with greater durability. Testing done with the coating has been promising.
One of the researchers expressed concern about the effect of the new coating on the ball's travel distance. Par wants the new cut-resistant model to offer a travel distance comparable to today's golf balls. To compare the travel distance of the two types of balls, 40 of each model were subjected to distance tests, which were carried out with a ball-throwing machine in order that the difference between the average flight distances between the two models could be attributed to its different peculiarities. The results of the tests, with the distances expressed to the nearest yard, are presented in the table on the next page. These data are found on the book's website. (Current refers to the current balls and New the new ones).

Management report
1. Formulate and justify a hypothesis test that Par can use to compare the travel distances of the current ball and the new ball.
2. Analyze the data to formulate the conclusion of the hypothesis test. What is the p-value of the test? What would you recommend to Par, Inc.?
3. Provide a summary of descriptive statistics with the data for each model.
4. What is the 95% confidence interval for the population mean of the travel distance of each model, and what is the difference between the means of the two populations?
5. Do you see a need for larger samples and more golf ball testing? Analyze it.

PLEASE, DON'T USE EXCEL

 

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
267
263
289
264
284
262
273
253
272
266
280
280
263
271
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
Transcribed Image Text:Model Model Model Model Current New Current New Current New Current New 264 277 270 272 263 274 281 283 261 269 287 259 264 266 274 250 267 263 289 264 284 262 273 253 272 266 280 280 263 271 263 260 258 262 272 274 260 260 275 270 283 251 275 281 283 281 267 263 258 262 265 276 255 250 279 261 266 289 260 269 272 263 274 255 259 286 278 268 266 278 276 263 270 264 275 262 268 264 262 279
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