Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Chapter 3.3, Problem 100E
a.
To determine
The percentage of observations that lie within 1.25 standard deviations of the
b.
To determine
The percentage of observations that lie within 3.5 standard deviations of the mean using Chebyshev’s rule.
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A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected.
a) Calculate the percentage of components that get rejected.
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c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
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Chapter 3 Solutions
Introductory Statistics (10th Edition)
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