SolutionsHW2

# SolutionsHW2 - Solutions HW2 Problem 3-6 a Is there a...

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Unformatted text preview: Solutions HW2 Problem 3-6 a) Is there a difference in conductivity due to coating type? One-way Analysis of Variance Analysis of Variance for Conducti Source DF SS MS F P Coating 3 844.7 281.6 14.30 0.000 Error 12 236.2 19.7 Total 15 1080.9 Individual 95% CIs For Mean Based on Pooled StDev Level N Mean StDev ---+---------+---------+---------+--- 1 4 145.00 3.92 (------*------) 2 4 145.25 6.65 (------*-----) 3 4 132.25 3.86 (------*------) 4 4 129.25 2.06 (------*------) ---+---------+---------+---------+--- Pooled StDev = 4.44 126.0 133.0 140.0 147.0 From the F test we see that the effect of coating is significantly different from that of pure chance (the error term), so the answer is yes. Coating type causes a difference in conductivity at the α =0.05 level. (Actually p indicates that actual α is << 0.05). b) Estimate the overall mean and the treatment effects. The grand mean, ˆ .. 2207 /16 137.9375 ij y y N μ = = = = ∑ 1 1. .. 2 3 4 ˆ 145.00 137.9375 7.0625 ˆ 145.25 137.9375 7.3125 ˆ 132.25 137.9375 5.6875 ˆ 129.25 137.9375 8.68758....
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SolutionsHW2 - Solutions HW2 Problem 3-6 a Is there a...

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