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A sample of 17 high-mileage traction motors was selected and the amount of cone penetration (mm/10) was determined both for the pinion bearing and for the commutator armature bearing, resulting in the following data: * This exercise asks for a Prediction Interval and a Tolerance Interval. These are not the same as a Confidence Interval.
Commutator Pinion
Calculate an estimate of the population mean difference between penetration for the commutator armature bearing and penetration for the pinion bearing, and do so in a way that conveys information about the reliability and precision of the estimate (NOTE: A normal quantile plot validates the necessary normality assumption).
A sample of 17 high-mileage traction motors was selected and the amount of cone penetration (mm/10) was determined both for the pinion bearing and for the commutator armature bearing, resulting in the following data: * This exercise asks for a Prediction Interval and a Tolerance Interval. These are not the same as a Confidence Interval.
Commutator Pinion
| 1 | 211 | 226 | | | |
| 2 | 273 | 278 | | | |
| 3 | 305 | 259 | | | |
| 4 | 258 | 244 | | | |
| 5 | 270 | 273 | | | |
| 6 | 209 | 236 | | | |
| 7 | 223 | 290 | | | |
| 8 | 288 | 287 | | | |
| 9 | 296 | 315 | | ||
| 10 | 233 | 242 | | ||
| 11 | 262 | 288 | | ||
| 12 | 291 | 242 | | ||
| 13 | 278 | 278 | | ||
| 14 | 275 | 208 | | ||
| 15 | 210 | 281 | | ||
| 16 | 272 | 274 | | ||
| 17 | 264 | 268 | |