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 s 2 0 0006 Use 0 05 to test whether the population variance specification is being violated State the null and alternative hypotheses H 0 2 0 0005 H a 2 0 0005 H 0 2 0 0005 H a 2 0 0005 H 0 2 0 0005 H a 2 0 0005 H 0 2 0 0005 H a 2 0 0005 H 0 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 Do not reject H 0 The sample does not support the conclusion that the population variance specification is being violated Reject H 0 The sample does not support the conclusion that the population variance specification is being violated Do not reject H 0 The sample does support the conclusion that the population variance specification is being violated Reject H 0 The sample does support the conclusion that the population variance specification is being violated

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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,

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.

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. 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.