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 of0.0004. Suppose the sample variance for30 partsturns out to bes²=0.0005.

Use= 0.05

to test whether the population variance specification is being violated.

State the null and alternative hypotheses.

a)H₀:²< 0.0004

H_a:²0.0004

b)H₀:²0.0004

H_a:²< 0.0004

c)H₀:²0.0004

H_a:²> 0.0004

d)H₀:²= 0.0004

H_a:²0.0004

e)H₀:²> 0.0004

H_a:²0.0004

Find the value of the test statistic.

_________

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

p-value =__________

State your conclusion.

Do not rejectH₀. The sample does support the conclusion that the population variance specification is being violated.

RejectH₀. The sample does support the conclusion that the population variance specification is being violated.

Do not rejectH₀. The sample does not support the conclusion that the population variance specification is being violated.

RejectH₀. The sample does not support the conclusion that the population variance specification is being violated.