+4 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 0.0004. Suppose the sample variance for 30 parts turns out to be
s2 = 0.0005.
Use
πΌ = 0.05
to test whether the population variance specification is being violated.
State the null and alternative hypotheses.
H0: π2 > 0.0004
Ha: π2 β€ 0.0004
H0: π2 < 0.0004
Ha: π2 β₯ 0.0004
H0: π2 = 0.0004
Ha: π2 β 0.0004
H0: π2 β€ 0.0004
Ha: π2 > 0.0004
H0: π2 β₯ 0.0004
Ha: π2 < 0.0004
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.
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.
Reject H0. The sample does not support the conclusion that the population variance specification is being violated.
