In an article "Shelf-Space Strategy in Retailing," published in Proceedings: Southern Marketing Association, the effect of shelf height on the supermarket sales of canned dog food is investigated. An experiment was conducted at a small supermarket for a period of 8 days on the sales of a single brand of dog food, referred to as Arf dog food, involving three levels of shelf height: knee level, waist level, and eye level. During each day, the shelf height of the canned dog food was randomly changed on three different occasions. The remaining sections of the gondola that housed the given brand were filled with a mixture of dog food brands that were both familiar and unfamiliar to customers in this particular geographic area. Sales, in hundreds of dollars, of Arf dog food per day for the three shelf heights are given. Based on the data, is there a significant difference in the average daily sales of this dog food based on shelf height? Use a 0.01 level of significance.
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Shelf Height
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Knee Level
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Waist Level
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Eye Level
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|
77
|
88
|
85
|
|
82
|
94
|
85
|
|
86
|
93
|
87
|
|
78
|
90
|
81
|
|
81
|
91
|
80
|
|
86
|
94
|
79
|
|
77
|
90
|
87
|
|
81
|
87
|
93
|