A popular consumer staple was displayed in different locations in the same aisle of a grocery store to determine what, if any, effect different placement might have on its sales. The product was placed at one of three heights on the aisle€”low, medium, and high€”and at one of three locations in the store€”at the front of the store, at the middle of the store, or at the rear of the store. The number of units sold of the product at the various height and distance combinations was recorded each week for five weeks. The following results were obtained:

a. At the 0.10 level of significance, is there an interaction effect?
b. At the 0.10 level of significance, does the height of the product€™s placement have an effect on the product€™s mean sales?
c. At the 0.10 level of significance, does the location in the store have an effect on the product€™s mean sales?

Front Middle Rear 125 143 150 138 149 195 150 160 195 162 126 136 129 136 147 Medium 41 137 145 150 130 186 161 157 165 194 133 148 145 1 High 129 148 130 137 157 152 186 164 176 149 137 138 126 138