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Pt 3 9. A two-factor analysis of variance is (two way ANOVA with replication) conducted to test the effect that price and advertising have on

Pt 3

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9. A two-factor analysis of variance is (two way ANOVA with replication) conducted to test the effect that price and advertising have on sales of a particular brand of bottled water. Each week a combination of particular levels of price and advertising are used and the sales amount is recorded. The computer results are shown below. ANOVA Source of Variation SS df MS P-value F crit Sample (advertising) 99.73324 1 99.73324 5.251652 0.034201 4.413873 Columns (price 1150.432 N 575.2161 30.28914 1.74E-06 3.554557 Interaction 1577.526 2 788.7629 41.53387 1.8E-07 3.554557 Within 341.835 18 18.99083 Total 3169.526 23 Based on the results above and a 0.05 level of significance, which of the following is correct? There is interaction between price and advertising, so the above results for individual factors may be misleading b) There is no interaction between price and advertising, so results for individual factors may be misleading C) There is interaction between price and advertising, so the above results conclusively show that both factors affect sales There is no interaction between price and advertising, and both factors significantly affect sales d)

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