For Exercises 10–12, assume that the requirements for ANOVA have been met and test, using level of significance , whether the population means are equal.
12. Calories in Breakfast Cereals. A dietary researcher is interested in whether differences exist in the mean number of calories in breakfast cereals made by different manufacturers. The summary statistics for the samples from three manufacturers appear in the following table.
| Kellogg's | quaker | Ralston purina | |
|---|---|---|---|
| 23 | 8 | 8 | |
| 109 | 95 | 115 | |
| 22 | 29 | 23 |