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Making auto parts A grinding machine in an auto parts plant prepares axles with a target

The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor ISBN: 9781464108730 488

Solution for problem 50 Chapter 7.3

The Practice of Statistics | 5th Edition

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The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor

The Practice of Statistics | 5th Edition

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Problem 50

Making auto parts A grinding machine in an auto parts plant prepares axles with a target diameter m = 40.125 millimeters (mm). The machine has some variability, so the standard deviation of the diameters is s = 0.002 mm. The machine operator inspects a random sample of 4 axles each hour for quality control purposes and records the sample mean diameter x . Assuming that the process is working properly, what are the mean and standard deviation of the sampling distribution of x ? Explain.

Step-by-Step Solution:

Step 1 of 2

The given data is:

By definition, the mean of the sampling distribution of  is given as follows:

Step 2 of 2

Chapter 7.3, Problem 50 is Solved
Textbook: The Practice of Statistics
Edition: 5
Author: Daren S. Starnes, Josh Tabor
ISBN: 9781464108730

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Making auto parts A grinding machine in an auto parts plant prepares axles with a target