Use the following to answer the questions below:
Breakfast is often considered to be the most important meal of the day. Data on the number of calories per serving for randomly selected cereals from three different brands (General Mills, Kellogg's, and Kashi) are summarized in the provided plot and table.
| Brand | n |  | s |
| General Mills | 26 | 125.77 | 41.10 |
| Kashi | 16 | 178.13 | 39.02 |
| Kellogg's | 33 | 141.52 | 43.24 |
| Overall | 75 | 143.87 | 45.38 |
Use the summary information and the fact that the sums of squares for groups is
SSG = 27,476 and for error is
SSTotal = 152,379 to complete an ANOVA table and find the F-statistic. Use the F-distribution to find the p-value and state the conclusion of the test in context (using
).
▸ p-value = 0.078
There is not enough evidence to conclude that the mean calories per serving differs significantly among the three brands.
▸ p-value = 0.00078
There is very strong evidence that the mean calories per serving differs significantly among the three brands.
▸ p-value = 0.078
There is very strong evidence that the mean calories per serving differs significantly among the three brands.
▸ p-value = 0.00078
There is not enough evidence to conclude that the mean calories per serving differs significantly among the three brands.
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