You may need to use the appropriate technology to answer this question. 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 0.0005. Suppose the sample variance for 30 parts turns out to be s2 = 0.0006. Use ? = 0.05 to test whether the population variance specification is being violated. State the null and alternative hypotheses. H0: ?2 < 0.0005 Ha: ?2 ≥ 0.0005 H0: ?2 ≥ 0.0005 Ha: ?2 < 0.0005 H0: ?2 > 0.0005 Ha: ?2 ≤ 0.0005 H0: ?2 ≤ 0.0005 Ha: ?2 > 0.0005 H0: ?2 = 0.0005 Ha: ?2 ≠ 0.0005 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. The sample does support the conclusion that the population variance specification is being violated.Do not reject H0. The sample does 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.Do not reject H0. The sample does not support the conclusion that the population variance specification is being violated.

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 0.0005. Suppose the sample variance for 30 parts turns out to be

s² = 0.0006.

Use

? = 0.05

to test whether the population variance specification is being violated.

State the null and alternative hypotheses.

H₀: ?² < 0.0005

H_a: ?² ≥ 0.0005

H₀: ?² ≥ 0.0005

H_a: ?² < 0.0005

H₀: ?² > 0.0005

H_a: ?² ≤ 0.0005

H₀: ?² ≤ 0.0005

H_a: ?² > 0.0005

H₀: ?² = 0.0005

H_a: ?² ≠ 0.0005

Find the value of the test statistic.

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

p-value =

State your conclusion.

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

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