he 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 onsider 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 s = 0.0009. Use a = 0.05 to test whether the opulation variance specification is being violated. tate the null and alternative hypotheses. O Ho: o > 0.0008 H: o s 0.0008 Họ: o2 = 0.0008 H: o + 0.0008 O Ho: a s 0.0008 H: o? > 0.0008 O Ho: a2 2 0.0008

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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 a = 0.05 to test whether the
population variance specification is being violated.
State the null and alternative hypotheses.
Ho:
o2
> 0.0008
H,: oʻ s 0.0008
Ho: o?.
= 0.0008
o2 + 0.0008
Ha:
Ho: o s 0.0008
H: o > 0.0008
: o2 > 0.0008
Ho
H : o2 < 0.0008
Ho: o² < 0.0008
H : o² > 0.0008
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value
%D
State your conclusion.
O Do not reject Ho. The sample does support the conclusion that the population variance specification is being violated.
Do not reject Ho: The sample does not support the conclusion that the population variance specification is being violated.
Reject Ho. The sample does not support the conclusion that the population variance specification is being violated.
O Reject Ho.
The sample does support the conclusion that the population variance specification is being violated.
Transcribed Image Text: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 0.0008. Suppose the sample variance for 30 parts turns out to be s² = 0.0009. Use a = 0.05 to test whether the population variance specification is being violated. State the null and alternative hypotheses. Ho: o2 > 0.0008 H,: oʻ s 0.0008 Ho: o?. = 0.0008 o2 + 0.0008 Ha: Ho: o s 0.0008 H: o > 0.0008 : o2 > 0.0008 Ho H : o2 < 0.0008 Ho: o² < 0.0008 H : o² > 0.0008 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value %D State your conclusion. O Do not reject Ho. The sample does support the conclusion that the population variance specification is being violated. Do not reject Ho: The sample does not support the conclusion that the population variance specification is being violated. Reject Ho. The sample does not support the conclusion that the population variance specification is being violated. O Reject Ho. The sample does support the conclusion that the population variance specification is being violated.
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