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? = 0.0006. Use z = 0.05 to test whether the population variance specification is being violated. State the null and alternative hypotheses. Ho: o 2 0.0005 H:o? < 0.0005 Họ: o s 0.0005 H:o? > 0.0005 H: o? - 0.0005 H: o? = 0.0005 O Ho: o2 > 0.0005 H,: 0? s 0.0005 O Ho: ot < 0.0005 H:o? 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. O Reject H.. The sample does support the conclusion that the population variance specification is being violated. O Do not reject H.. The sample does not support the conclusion that the population variance specification is being violated. O Do not reject H.. The sample does support the conclusion that the population variance specification is being violated. O Reject H.. The sample does not support the conclusion that the population variance specification is being violated.
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? = 0.0006. Use z = 0.05 to test whether the population variance specification is being violated. State the null and alternative hypotheses. Ho: o 2 0.0005 H:o? < 0.0005 Họ: o s 0.0005 H:o? > 0.0005 H: o? - 0.0005 H: o? = 0.0005 O Ho: o2 > 0.0005 H,: 0? s 0.0005 O Ho: ot < 0.0005 H:o? 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. O Reject H.. The sample does support the conclusion that the population variance specification is being violated. O Do not reject H.. The sample does not support the conclusion that the population variance specification is being violated. O Do not reject H.. The sample does support the conclusion that the population variance specification is being violated. O Reject H.. The sample does not support the conclusion that the population variance specification is being violated.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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