Homework SourseFiner Diner has hired you as a consultant to determine how t
Finer Diner has hired you as a consultant to determine how to increase dessert sales. Data from Finer Diner, Kim’s Kitchen, and Pete’s Place was used to find out if there is a difference in the number of calories in their desserts. Set alpha to 0.05 and determine if there is a difference in the mean number of calories.
| Resturant | Finer Diner | Kim\'s Kitchen | Pete\'s Place |
| Desert 1 | 420 | 1006 | 880 |
| Desert 2 | 570 | 852 | 800 |
| Desert 3 | 636 | 1152 | 508 |
| Desert 4 | 377 | 1255 | 785 |
| Desert 5 | 258 | 1366 | 702 |
Solution
Using technology (in Excel, you can use Data-->Data Analysis-->Anova Single Factor), we get the summary:
As we see , P = 0.000138 < 0.05.
Thus, we reject the null hypothesis that all the means are equal.
Thus, there is significant evidence that at least two of the mean number of calories here are different from each other.
| Anova: Single Factor | ||||||
| SUMMARY | ||||||
| Groups | Count | Sum | Average | Variance | ||
| Column 1 | 5 | 2261 | 452.2 | 23016.2 | ||
| Column 2 | 5 | 5631 | 1126.2 | 41098.2 | ||
| Column 3 | 5 | 3675 | 735 | 20092 | ||
| ANOVA | ||||||
| Source of Variation | SS | df | MS | F | P-value | F crit |
| Between Groups | 1145482 | 2 | 572741.1 | 20.4049 | 0.000138 | 3.885294 |
| Within Groups | 336825.6 | 12 | 28068.8 | |||
| Total | 1482308 | 14 |
