The competitive advantage of small American factories such as Tolerance Contract Manufacturing lies in their ability to produce parts with highly 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 0.0008. Suppose the sample variance for 30 parts turns out to be s2 = 0.0009.Use ? = 0.05 to test whether the population variance specification is being violated.State the null and alternative hypotheses.H0: σ2 ≥ 0.0008Ha: σ2 < 0.0008 H0: σ2 ≤ 0.0008Ha: σ2 > 0.0008 H0: σ2 < 0.0008Ha: σ2 ≥ 0.0008 H0: σ2 > 0.0008Ha: σ2 ≤ 0.0008 H0: σ2 = 0.0008Ha: σ2 ≠ 0.0008 Find the value of the test statistic.( ) Find the p-value. (Round your answer to four decimal places.)p-value = State your conclusion.Do not reject H0. The sample does support the conclusion that the population variance specification is being violated.Reject H0. The sample does support the conclusion that the population variance specification is being violated. Do not reject H0. The sample does not support the conclusion that the population variance specification is being violated.Reject H0. The sample does not support the conclusion that the population variance specification is being violated.

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Description: The competitive advantage of small American factories such as Tolerance Contract Manufacturing lies in their ability to produce parts with highly narrow requirements, or tolerances, that are typical in the aerospace industry. Consider a product with

Let σ2 is defined as the population variance in the lengths of the parts. The maximum variance in…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The competitive advantage of small American factories such as Tolerance Contract Manufacturing lies in their ability to produce parts with highly 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 0.0008. Suppose the sample variance for 30 parts turns out to be s² = 0.0009.
Use ? = 0.05 to test whether the population variance specification is being violated.

State the null and alternative hypotheses.

H₀: σ² ≥ 0.0008

H_a: σ² < 0.0008

H₀: σ² ≤ 0.0008

H_a: σ² > 0.0008

H₀: σ² < 0.0008

H_a: σ² ≥ 0.0008

H₀: σ² > 0.0008

H_a: σ² ≤ 0.0008

H₀: σ² = 0.0008

H_a: σ² ≠ 0.0008

Find the value of the test statistic.

( )

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Do not reject H₀. The sample does support the conclusion that the population variance specification is being violated.

Reject H₀. The sample does support the conclusion that the population variance specification is being violated.

Do not reject H₀. The sample does not support the conclusion that the population variance specification is being violated.

Reject H₀. The sample does not support the conclusion that the population variance specification is being violated.

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