Homework Answers
| Group 1 | Group 2 | Group 3 | Total | |
| Sum | 15 | 39 | 54 | 108 |
| Count | 3 | 3 | 3 | 9 |
| Mean, Sum/n | 5 | 13 | 18 | |
| Sum of square, Ʃ(xᵢ-x̅)² | 14 | 14 | 8 |
Null and Alternative Hypothesis:
Ho: µ1 = µ2 = µ3
H1: At least one mean is different.
Number of treatment, k = 3
Total sample Size, N = 9
df(between) = k-1 = 2
df(within) = N-k = 6
df(total) = N-1 = 8
SS(between) = (Sum1)²/n1 + (Sum2)²/n2 + (Sum3)²/n3 - (Grand Sum)²/ N = 258
SS(within) = SS1 + SS2 + SS3 = 36
SS(total) = SS(between) + SS(within) = 294
MS(between) = SS(between)/df(between) = 129
MS(within) = SS(within)/df(within) = 6
F = MS(between)/MS(within) = 21.5
Critical value Fc = F.INV.RT(0.05, 2, 6) = 5.143
e)
Decision:
Reject the null hypothesis.
| ANOVA | |||||
| Source of Variation | SS | df | MS | F | F crit |
| Between Groups | 258 | 2 | 129 | 21.5 | 5.143 |
| Within Groups | 36 | 6 | 6 | ||
| Total | 294 | 8 |
f)
HSD = 6.14
| Comparison | Diff. = (xi - xj) | HSD | Results |
| x̅1-x̅2 | -8 | 6.14 | Means are different |
| x̅1-x̅3 | -13 | 6.14 | Means are different |
| x̅2-x̅3 | -5 | 6.14 | Means are not different |
Add Answer to:
e and f please
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