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HWK #14 NEW

# HWK #14 NEW - of treatment 3 are definitely higher than...

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Homework #14 Problem #1 on Page 524 Business Issue: Three possible Treatment Options Business Question: "Are there any differences in the mean measure across the three treatments?" Data: TREATMENTS 1 2 3 162 142 126 142 156 122 165 124 138 145 142 140 148 136 150 174 152 128 Sample Mean: 156 142 134 Sample Variance: 164.4 131.2 110.3 Hypotheses: Ho:  mu1 = mu2 = mu3 Ha: at least 2 means differ Test Statistic: If Ho is true we should expect the three sample means to be similar If Ha is true we should expect the sample means to be different F = MST/MSE Sig. Level : Alpha = .05 Reject Rule : Reject Ho if F > 3.68 Calculations: SST =  3518 MST =  744 SSE =  2030 MSE =  135.3 F =  5.5 P-Value = 0.02 Conclusion: Reject Ho: Business Answer: According the the sample there is strong evidence to be able to conclude that there are infact difference between the mean diffences. The means of samples
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Unformatted text preview: of treatment 3 are definitely higher than those of treatment 1. However we are unclear about treatment 2's comparisons. ANOVA rce of Varia SS df MS F P-value F crit Between G 1488 2 744 5.5 0.02 3.68 Within Gro 2030 15 135.33 Total 3518 17 SST = Sum of Squares " treatments " = SUM [n j *(xbar j- xdoublebar)^2], j=1,2,3 MST = SST/(k-1) , where k=number of treatments -- Mean Squared Treatment differences SSE = Sum of Squares -- Errors for all three samples = Sum [(n j-1)*s j ^2], j=1,2,3 MSE = SSE/(n-k) where n = n1+n2+n3. (Here, n=20+20+20=60) -- Mean Squared Error Differences If Ho is true, this ratio has the F distribution with df 1 =k-1 and df 2 =n-k...
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• Spring '07
• Dunne
• Harshad number, Nontotient, Mean squared error, possible treatment options, Reject Ho, Treatment differences SSE

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