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Jbranson87 Jbranson87
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3 weeks ago
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.

BrandnThree side-by-side vertical boxplots depict the results of the calories per serving for selected cereals from three different brands. The horizontal axis is labeled, Brand and has three markings: General Mills, Kashi, and Kelloggs in the order from left to right. The vertical axis is labeled, Calories per serving and has markings from 50 to 250 in increments of 50. For General Mills, the whiskers of the boxplot range from 60 to 230 and the box ranges from 100 to 160 with a median at 110. For Kashi, the whiskers of the boxplot range from 100 to 230 and the box ranges from 140 to 200 with a median at 180. For Kelloggs, the whiskers of the boxplot range from 70 to 230 and the box ranges from 110 to 180 with a median at 120. All values are approximate.s
General Mills26125.7741.10
Kashi16178.1339.02
Kellogg's33141.5243.24
Overall75143.8745.38




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.
Textbook 
Statistics: Unlocking the Power of Data

Statistics: Unlocking the Power of Data


Edition: 3rd
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duankong-feiduankong-fei
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