Prediction Interval and Tolerance Interval

medako

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Feb 27, 2012
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No idea how to start this problem.

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

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).
 
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