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.

-Computer output from Minitab is provides the following information about the pairwise differences: Brand = General Mills subtracted from:

Brand = Kashi subtracted from:

Based on this output, which brands have significantly different means?
A) Kashi and General Mills have significantly different means. Kashi and Kellogg's have significantly different means. Kellogg's and General Mills are not significantly different.
B) Kashi and General Mills have significantly different means. Kashi and Kellogg's are not significantly different. Kellogg's and General Mills are not significantly different.
C) Kashi and General Mills are not significantly different. Kashi and Kellogg's are not significantly different. Kellogg's and General Mills are not significantly different.
D) Kashi and General Mills are not significantly different. Kashi and Kellogg's have significantly different means. Kellogg's and General Mills have significantly different means.

Question

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.
 
-Computer output from Minitab is provides the following information about the pairwise differences: Brand = General Mills subtracted from:

Brand = Kashi subtracted from:

Based on this output, which brands have significantly different means?
A) Kashi and General Mills have significantly different means. Kashi and Kellogg's have significantly different means. Kellogg's and General Mills are not significantly different. 
B) Kashi and General Mills have significantly different means. Kashi and Kellogg's are not significantly different. Kellogg's and General Mills are not significantly different. 
C) Kashi and General Mills are not significantly different. Kashi and Kellogg's are not significantly different. Kellogg's and General Mills are not significantly different. 
D) Kashi and General Mills are not significantly different. Kashi and Kellogg's have significantly different means. Kellogg's and General Mills have significantly different means.

Quizplus · Accepted Answer

Kashi and General Mills have significantly different means. The confidence interval for the difference in means is (20.73, 83.99). The interval does not contain 0, which indicates a significant difference. Since the interval only contains positive values, Kashi cereals have significantly more calories per serving than General Mills cereals.
Kashi and Kellogg's have significantly different means. The confidence interval for the difference in means is (-66.93, -6.28). The interval does not contain 0, which indicates a significant difference. Since the interval only contains negative values, Kashi cereals have significantly more calories per serving than General Mills cereals.
Kellogg's and General Mills are not significantly different because the confidence interval contains 0.

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