The competitive advantage of some small American factories such as In Tolerance Contract Manufacturing lies in their ability to produce parts with very narrow requirements, or tolerances, that are typical in the aerospace industry. Consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0004. Suppose the sample variance for 32 parts turns out to be s2 = 0.0005. Use a = 0.05, to test whether the population variance specification is being violated. Ho: sigma squared is less than or equal to 0.0004 Ha: sigma squared is greater than 0.0004 Test statistic = (to 2 decimals, if required) The p-value is greater than 0.10 Use Table 11.1. Do not reject the null hypothesis v The product specification does not appear to be violated.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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I am struggling with coming up with the test statistic part. 

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The competitive advantage of some small American factories such as In Tolerance Contract Manufacturing lies in their ability to produce parts with very narrow requirements,
or tolerances, that are typical in the aerospace industry. Consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0004.
Suppose the sample variance for 32 parts turns out to be s = 0.0005. Use a = 0.05, to test whether the population variance specification is being violated.
Ho: sigma squared is less than or equal to 0.0004
Ha: sigma squared is greater than 0.0004
Test statistic =
(to 2 decimals, if required)
The p-value is greater than 0.10
Use Table 11.1.
Do not reject the null hypothesis v
The product specification does not appear to be violated. v
Transcribed Image Text:Hint(s) Check My Work The competitive advantage of some small American factories such as In Tolerance Contract Manufacturing lies in their ability to produce parts with very narrow requirements, or tolerances, that are typical in the aerospace industry. Consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0004. Suppose the sample variance for 32 parts turns out to be s = 0.0005. Use a = 0.05, to test whether the population variance specification is being violated. Ho: sigma squared is less than or equal to 0.0004 Ha: sigma squared is greater than 0.0004 Test statistic = (to 2 decimals, if required) The p-value is greater than 0.10 Use Table 11.1. Do not reject the null hypothesis v The product specification does not appear to be violated. v
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