The makers of Country Boy Corn Flakes are thinking about changing the packaging of the cereal with the hope of improving sales. In an experiment, five stores of similar size in the same region sold Country Boy Corn Flakes in different-shaped containers for 2 weeks. Total packages sold are given in the following table. Using a 0.05 level of significance, shall we reject or fail to reject the hypothesis that the mean sales are the same, no matter which shape box is used? Cube Cylinder Pyramid Rectangle 116 111 78 166 82 111 65 92 61 181 111 123 96 90 64 81 70 86 85 111v   (ii) Find the sample test statistic. (Round your answer to two decimal places.)   (vi) In the case of one-way ANOVA, make a summary table. Source of Variation Sum of Squares Degrees of Freedom MS F Ratio     Between groups             Within groups             Total

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The makers of Country Boy Corn Flakes are thinking about changing the packaging of the cereal with the hope of improving sales. In an experiment, five stores of similar size in the same region sold Country Boy Corn Flakes in different-shaped containers for 2 weeks. Total packages sold are given in the following table. Using a 0.05 level of significance, shall we reject or fail to reject the hypothesis that the mean sales are the same, no matter which shape box is used?

Cube Cylinder Pyramid Rectangle
116 111 78 166
82 111 65 92
61 181 111 123
96 90 64 81
70 86 85 111v

 

(ii) Find the sample test statistic. (Round your answer to two decimal places.)

 

(vi) In the case of one-way ANOVA, make a summary table.

Source of
Variation
Sum of
Squares
Degrees of
Freedom
MS F
Ratio
   
Between
groups
           
Within
groups
           
Total      
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