A company that manufactures baseball bats believes that its new bat will allow players to hit the ball 30 feet farther than its current model. The owner hires a professional baseball player known for hitting home runs to hit ten balls with each bat and he measures the distance each ball is hit to test the company's claim. The results of the batting experiment are shown in the following table. Construct a 90 % confidence interval for the true difference between the mean distance hit with the new model and the mean distance hit with the older model. Assume that the variances of the two populations are the same. Let Population 1 be the distances of balls hit with the new model baseball bat and Population 2 be the distances of balls hit with the old model. Round the endpoints of the interval to one decimal place, if necessary. Hitting Distance (in Feet) New Model Old Model 238 223 237 215 255 231 270 270 276 207 268 281 265 292 246 265 230 290 293 203

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A company that manufactures baseball bats believes that its new bat will allow players to hit the ball
30 feet farther than its current model. The owner hires a professional baseball player known for hitting home runs to hit ten balls
with each bat and he measures the distance each ball is hit to test the company's claim. The results of the batting experiment are
shown in the following table. Construct a
90 % confidence interval for the true difference between the mean distance hit with the new model and the mean distance hit
with the older model. Assume that the variances of the two populations are the same. Let Population 1 be the distances of balls hit
with the new model baseball bat and Population 2 be the distances of balls hit with the old model. Round the endpoints of the
interval to one decimal place, if necessary.
Hitting Distance (in
Feet)
New Model
Old Model
238
223
237
215
255
231
270
270
276
207
268
281
265
292
246
265
230
290
293
203
Transcribed Image Text:A company that manufactures baseball bats believes that its new bat will allow players to hit the ball 30 feet farther than its current model. The owner hires a professional baseball player known for hitting home runs to hit ten balls with each bat and he measures the distance each ball is hit to test the company's claim. The results of the batting experiment are shown in the following table. Construct a 90 % confidence interval for the true difference between the mean distance hit with the new model and the mean distance hit with the older model. Assume that the variances of the two populations are the same. Let Population 1 be the distances of balls hit with the new model baseball bat and Population 2 be the distances of balls hit with the old model. Round the endpoints of the interval to one decimal place, if necessary. Hitting Distance (in Feet) New Model Old Model 238 223 237 215 255 231 270 270 276 207 268 281 265 292 246 265 230 290 293 203
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