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# 409Quiz6Bans - α = 0.05 approximately W 1 = 48.5 W 2 =...

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STAT 409 Fall 2011 Name ANSWERS . Version B 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: 31 32 34 35 36 37 39 43 Ranks: 1 2 3.5 5 6 8 10 13 and on n 2 = 7 observations of Y: 34 37 37 40 42 47 50 Ranks: 3.5 8 8 11 12 14 15 Use the Wilcoxon test and
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Unformatted text preview: α = 0.05, approximately. W 1 = 48.5. W 2 = 71.5. Z = 12 16 7 8 2 16 8 5 . 48 ⋅ ⋅ ⋅-= – 1.79 . Z = 12 16 7 8 2 16 7 5 . 71 ⋅ ⋅ ⋅-= 1.79 . p-value = P ( Z ≤ – 1.79 ) = 0.0367 . p-value = P ( Z ≥ 1.79 ) = 0.0367 . p-value < α p-value < α Reject H . Reject H . OR Reject H if Z < – z α = – 1.645 Reject H if Z ≥ z α = 1.645 Reject H . Reject H ....
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