409Quiz6Aans - W 1 = 77.5 W 2 = 42.5 Z = 12 16 7 8 2 16 8 5...

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STAT 409 Fall 2011 Name ANSWERS . Version A Quiz 6 (10 points) Be sure to show all your work, your partial credit might depend on it. No credit will be given without supporting work. 1. We wish to test H 0 : m X = m Y vs. H 1 : m X > m Y based on n 1 = 8 observations of X: 26 28 28 30 31 35 37 39 Ranks: 3.5 7 7 9 10 12 14 15 and on n 2 = 7 observations of Y: 23 25 26 27 28 32 36 Ranks: 1 2 3.5 5 7 11 13 Use the Wilcoxon test and α = 0.05, approximately.
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Unformatted text preview: W 1 = 77.5. W 2 = 42.5. Z = 12 16 7 8 2 16 8 5 . 77 ⋅ ⋅ ⋅-= 1.56 . Z = 12 16 7 8 2 16 7 5 . 42 ⋅ ⋅ ⋅-= – 1.56 . p-value = P ( Z ≥ 1.56 ) = 0.0594 . p-value = P ( Z ≤ – 1.56 ) = 0.0594 . p-value > α p-value > α Do NOT Reject H . Do NOT Reject H . OR Reject H if Z ≥ z α = 1.645 Reject H if Z < – z α = – 1.645 Do NOT Reject H . Do NOT Reject H ....
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This note was uploaded on 12/15/2011 for the course STAT 409 taught by Professor Stephanov during the Fall '11 term at University of Illinois at Urbana–Champaign.

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