6. 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. 250 200 Brand General Mills 26 125.77 41.10 150 Kashi 16 178.13 39.02 Kellogg's Overall 33 141.52 43.24 100 75 143.87 45.38 50 General Mils Kashi Kelogg's Brand (a) State the appropriate null and alternative hypotheses for testing if the mean calories per serving differs among the three brands. (You could write it in symbols or words) (b) What are the conditions for using ANOVA? Does it seems reasonable to assume these conditions are satisfied for this data? Explain briefly. (c) Complete the following partial ANOVA table and use it to answer questions below. Df Sum Sq Mean Sq F value Pr(>F) cerealbrands 27476 13738 0.00078 Error 72 124903 Total 152379 (d) State the conclusion of the test in context (Use a = 0.05) Calories Per Serving

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6. 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.
250
200
Brand
n
General Mills 26
125.77 41.10
150
Kashi
16 178.13 39.02
Kellogg's
Overall
33 141.52 43.24
100-
75 143.87 45.38
50
General Mils
Kelogg's
Kashi
Brand
(a) State the appropriate null and alternative hypotheses for testing if the mean
calories per serving differs among the three brands. (You could write it in symbols
or words)
(b) What are the conditions for using ANOVA? Does it seems reasonable to assume
these conditions are satisfied for this data? Explain briefly.
(c) Complete the following partial ANOVA table and use it to answer questions below.
Df Sum Sq Mean Sq
F value Pr(>F)
cerealbrands
27476
13738
0.00078
Error
72
124903
Total
152379
(d) State the conclusion of the test in context (Use a = 0.05)
Calories Per Serving
Transcribed Image Text:6. 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. 250 200 Brand n General Mills 26 125.77 41.10 150 Kashi 16 178.13 39.02 Kellogg's Overall 33 141.52 43.24 100- 75 143.87 45.38 50 General Mils Kelogg's Kashi Brand (a) State the appropriate null and alternative hypotheses for testing if the mean calories per serving differs among the three brands. (You could write it in symbols or words) (b) What are the conditions for using ANOVA? Does it seems reasonable to assume these conditions are satisfied for this data? Explain briefly. (c) Complete the following partial ANOVA table and use it to answer questions below. Df Sum Sq Mean Sq F value Pr(>F) cerealbrands 27476 13738 0.00078 Error 72 124903 Total 152379 (d) State the conclusion of the test in context (Use a = 0.05) Calories Per Serving
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