Solved: In an article Shelf-Space Strategy in Retailing,

Chapter 13, Problem 13.3

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QUESTION:

In an article Shelf-Space Strategy in Retailing, published in Proceedings: Southern Marketing Association, the eect 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 dierent occasions. The remaining sections of the gondola that housed the given brand were lled 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 signicant dierence in the average daily sales of this dog food based on shelf height? Use a 0.01 level of signicance.Shelf Height Knee Level Waist Level Eye Level 77 88 85 82 94 85 86 93 87 78 90 81 81 91 80 86 94 79 77 90 87 81 87 93

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QUESTION:

In an article Shelf-Space Strategy in Retailing, published in Proceedings: Southern Marketing Association, the eect 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 dierent occasions. The remaining sections of the gondola that housed the given brand were lled 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 signicant dierence in the average daily sales of this dog food based on shelf height? Use a 0.01 level of signicance.Shelf Height Knee Level Waist Level Eye Level 77 88 85 82 94 85 86 93 87 78 90 81 81 91 80 86 94 79 77 90 87 81 87 93

ANSWER:

Step 1 of 6

First we will precisely formulate the test which we will be performing.We want to test whether or not the average daily sales of the dog food depends on the  different shelf heights,so our hypotheses are:

 for some

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