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1. We are comparing four potential suppliers for a type of fabric. The primary variable of interest is basis weight (in g., and higher basis

1. We are comparing four potential suppliers for a type of fabric. The primary variable of interest is basis weight (in g., and higher basis weights are preferred).
Test at the 0.05 level to determine if there are any differences in mean basis weights, and if so, which means differ.
Griffin Klein Shelgrove West 1. hypotheses Ho: 1 = 2 = ... = t 2. test statistic 13.45180584
17.1 17.3 16.6 17.4 H1: at least one j is not equal 3. p-value 4.81617E-06
19.3 19.5 17.1 17.7 4. decision
18.5 18.4 16.9 17.9 5. conclusion
17.9 19.4 17.3 16.9
18.8 19.2 17.6 18.1
18.2 18.7 17.4 18.2 Anova: Single Factor
17.7 19.7 16.8 17.6
19 18.2 17.5 17.5 SUMMARY
18.6 18.1 17.2 16.8 Groups Count Sum Average Variance
19.1 17.8 17 17.9 Griffin 10 184.2 18.42 0.481777778
Klein 10 186.3 18.63 0.644555556
Shelgrove 10 171.4 17.14 0.102666667
West 10 176 17.6 0.22
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 14.61875 3 4.872916667 13.45180584 4.82E-06 2.866266
Within Groups 13.041 36 0.36225
Total 27.65975 39

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