In: Statistics and Probability
Month |
Milk Chocolate |
White Chocolate |
Dark Chocolate |
January |
9 |
7 |
9 |
February |
8 |
6 |
9 |
March |
8 |
7 |
10 |
April |
10 |
9 |
6 |
Without using excel or any other technological tool, use ANOVA to test, at the 5% significance level, the hypothesis that all three chocolates sell equally on average.
H0: all three chocolates sell are equally on average.
H1: all three chocolates sell are not equally on average.
From the given data
Month | Milk Chocolate | White Chocolate | Dark Chocolate | Ti | Ti^2/3 |
January | 9 | 7 | 9 | 25 | 208.3333 |
February | 8 | 6 | 9 | 23 | 176.3333 |
March | 8 | 7 | 10 | 25 | 208.3333 |
April | 10 | 9 | 6 | 25 | 208.3333 |
Tj | 35 | 29 | 34 | 98 | 801.3333 |
Tj^2/4 | 306.25 | 210.25 | 289 | 805.5 |
ANOVA Table:
P-value = 0.422 > alpha 0.05 so we accept H0
Thus we conclude that all three chocolates sell are equally on average.