Nutritional Rating of Breakfast Cereals. Use this information for Exercises 42–45. Does the nutritional rating of breakfast cereals vary by manufacturer? The data set Breakfast Cereals 2 contains information on the nutritional rating and manufacturer for 68 breakfast cereals.4 Assume that the cereals were selected randomly from the manufacturers so that the selection of a cereal from one manufacturer did not affect the selection of cereals from other manufacturers.
breakfastcereals2
45. The Minitab output shown here contains the ANOVA results. and the -value are in blue. Test, using level of significance , whether all population mean nutritional ratings are equal across all manufacturers.
12.1.45
: Not all the population means are equal. Reject if the . ; . Since the is , we reject . There is evidence that the population mean nutritional ratings of the cereals made by the different manufacturers are not all equal.