Suppose we want to test H o : 1 2 = 2 2 versus H

Question:

Suppose we want to test Ho: σ12 = σ22versus Ha:  σ12 ≠ σ22. Show that the rejection region given by

where F depends on v1 = (n1 - 1)df and v2 = (n2 - 1) df, is equivalent to the rejection region given by

where F depends on v1 numerator df and v2 denominator df, or

where F* depends on v2 numerator df and v1 denominator df. Use the fact (proof omitted) that

where F depends on v1 numerator df and v2 denominator df and F* depends on v2 numerator df and v1 denominator df.

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Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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