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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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