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Statistics / Probability and Statistics for Engineers and the Scientists 9 / Chapter 9 / Problem 9.13

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

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Solved: A random sample of 12 shearing pins is taken in a

Chapter 1, Problem 9.13

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QUESTION:

A random sample of 12 shearing pins is taken in a study of the Rockwell hardness of the pin head. Measurements on the Rockwell hardness are made for each of the 12, yielding an average value of 48.50 with a sample standard deviation of 1.5. Assuming the measurements to be normally distributed, construct a 90% confidence interval for the mean Rockwell hardness.

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QUESTION:

A random sample of 12 shearing pins is taken in a study of the Rockwell hardness of the pin head. Measurements on the Rockwell hardness are made for each of the 12, yielding an average value of 48.50 with a sample standard deviation of 1.5. Assuming the measurements to be normally distributed, construct a 90% confidence interval for the mean Rockwell hardness.

ANSWER:

Step 1 of 2

Given,

Number shearing pins,

The mean hardness,

The standard deviation of hardness,

We have to construct a 90% confidence interval for the mean Rockwell hardness:

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