Interpreting Confidence Intervals

5 90 p 10 2 1 15 97 p 15 1 2

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Unformatted text preview: .95 P( -15 < µ A - µ B < -3 ) = .99 P( 1.64 < µ B - µ A < 48.36 ) = .99 1 P( -.05 < µ 1 - µ 2 < 0 ) = .97 P( .05 < µ 1 - µ 2 < 15.30 ) = .95 P( -3 < µ 1 - µ 2 < -2.5 ) = .90 P( 10 < µ 2 - µ 1 < 15 ) = .97 P( -15 < µ 1 - µ 2 < -10 ) = .97 Notice that the two CI’s above yield identical interpretations, i.e. the interpretation of a CI is invariant under the order of subtraction. When the subtraction order of the means is reversed, the CI upper and lower bounds change places and their signs change. Ex/ Pictorial representations of the interpretation of a CI for the difference in two means, µ 1 - µ 2 : CI Lower Bound CI Upper Bound _____________________________(__________|___________________)__________________________...
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This document was uploaded on 02/18/2014 for the course QBA 337 at Missouri State University-Springfield.

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