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Statistics / Probability and Statistical Inference 9 / Chapter 6.3 / Problem 6.3-12

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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Nine measurements are taken on the strength of a certain metal. In order, they are 7.2

Chapter 6, Problem 6.3-12

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QUESTION:

Nine measurements are taken on the strength of a certain metal. In order, they are 7.2, 8.9, 9.7, 10.5, 10.9, 11.7, 12.9, 13.9, 15.3, and these values correspond to the 10th, 20th, ... , 90th percentiles of this sample. Construct a qq plot of the measurements against the same percentiles of N(0, 1). Does it seem reasonable that the underlying distribution of strengths could be normal?

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QUESTION:

Nine measurements are taken on the strength of a certain metal. In order, they are 7.2, 8.9, 9.7, 10.5, 10.9, 11.7, 12.9, 13.9, 15.3, and these values correspond to the 10th, 20th, ... , 90th percentiles of this sample. Construct a qq plot of the measurements against the same percentiles of N(0, 1). Does it seem reasonable that the underlying distribution of strengths could be normal?

ANSWER:

Step 1 of 4

Given 7.2,8.9,9.7,10.5,10.9,11.7,12.9,13.9,15.3 correspond with the 10th,20th,30th…..90th percentile.

The pth percentile has the property that of the values lie below it and thus the probability

If is the th percentile

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