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# Golf Club Driving Differences Confidence Intervals

Birdie Golf Equipment

Birdie Golf Equipment is a major manufacturer of golf equipment. Management believes that that Birdies market share could be increased with the introduction of a new cut-resistant, longer-lasting golf ball. Therefore, the research group at Birdie has been investigating a new golf ball coating designed to resist cuts, thus providing a more durable ball.

The tests with the coating have been promising. However, one researcher has voiced concern about the effect of the new coating on driving distances. Birdie would like the new cut-resistant ball to offer driving distances comparable to those of their current model golf ball. To compare driving distances for the two balls, 40 balls of the new and current model were subjected to distance tests. The testing was performed by a mechanical hitting machine so that nay difference between the mean distances of the two models could be attributed to a difference in the two models. The results of the tests (in yards), are as follows.

Model Model Model Model
Cur New Cur New Cur New Cur 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
258 262 272 274 262 260 275 270
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

1.) With a 95% level of confidence, is there any significant difference in the driving distances of the two models?

2.) Do you see a need for increasing the sample sizes of this experiment?
If not, why not? If yes, why so? If yes, what would an appropriate sample size be?

#### Solution Summary

The solution examines different golf clubs driving differences. With a 95% confidence level, the significance difference is determined. Whether there is a need to increase the sample sizes in the experiment are determined.

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