Homework Answers
| stain 1 | stain 2 | stain 3 | |
| Uberweiss | 48 | 50 | 55 |
| A | 45 | 43 | 51 |
| B | 47 | 46 | 52 |
| C | 42 | 37 | 49 |
| Anova: Two-Factor Without Replication | |||||
| SUMMARY | Count | Sum | Average | Variance | |
| Uberweiss | 3 | 153 | 51 | 13 | |
| A | 3 | 139 | 46.33333333 | 17.33333333 | |
| B | 3 | 145 | 48.33333333 | 10.33333333 | |
| C | 3 | 128 | 42.66666667 | 36.33333333 | |
| stain 1 | 4 | 182 | 45.5 | 7 | |
| stain 2 | 4 | 176 | 44 | 30 | |
| stain 3 | 4 | 207 | 51.75 | 6.25 | |
| ANOVA | |||||
| Source of Variation | SS | df | MS | F | P-value |
| Rows | 110.9166667 | 3 | 36.97222222 | 11.77876106 | 0.006314317 |
| Columns | 135.1666667 | 2 | 67.58333333 | 21.53097345 | 0.001829024 |
| Error | 18.83333333 | 6 | 3.138888889 | ||
| Total | 264.9166667 | 11 | |||
p-value of detergents(row) is 0.0063 < alpha
hence we reject the null hypothesis
we conclude that there is difference between detergents
p-value of stain(column) is 0.0018 < alpha
hence we reject the null hypothesis
we conclude that there is difference between stains
yes, mean of Uberweiss is 51 largest among all companies
hence its's detergent is better
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