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Joe Brown, the marketing director for Barilla SpA, claims that the height if the shelves on which her product is displayed will affect the sales

Joe Brown, the marketing director for Barilla SpA, claims that the height if the shelves on which her product is displayed will affect the sales volume. With the cooperation of 15 retail stores, an experiment is carried out. In 5 randomly selected stores, the product is placed at eye level on the shelves. In another, the product is displayed at waist level, and in the third 5, the product is placed at knee level. The number of pasta packages sold in a week recorded below.

Eye Level Waist Level Knee Level
98 106 103
106 105 95
111 98 87
85 93 94
108 96 92

1. At the .05 level of significance, is there a significant difference in the population mean sales due to the shelf level of the product? First set up hypothesis and conduct F test. Please provide step by step of F test.

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