What are your ANOVA hypotheses ? At a 5% significance level, are the ANOVA results significant?

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

in this dataset, test market month.sav, we’ll see if the number of units (gallons of milk) sold (“sales”) differs across the market size (“mktsize”), and if so, where the significant differences might be. Since we have internal data (units sold) being divided into more than two ordinal independent categories (market sizes are Small, Medium, and Large), we will assume equal variances and run a One-Way Analysis of Variance (ANOVA). To do this, click on Analyze: Compare Means: One-Way ANOVA. Insert “sales” into the dependent list and “mktsize” as your Factor (that variable which is used to divide the groups). Click on “Options” and select “Descriptive  Statistics,” then continue Next, click on “Post-hoc” and select “LSD” for multiple pairwise comparisons. Then click on “Continue” and “OK.” 

The output consists of the three tables you requested: Descriptives,ANO VA, and Multiple Comparisons.

Answer the following questions:

(a) (Step 1): What are your ANOVA hypotheses (use the format I gave you in class)? At a 5% significance level, are the ANOVA results significant? What does this suggest about the average number of units sold across the different market sizes? Clearly label the p-value associated with the ANOVA.

(b) (Step 2): If the results of(a) are significant, which of the market sizes  are significantly different from each other in their average number of units sold? What are the p-values for each of these significantly different pairs? (Use the sentence structure we’ve gone over in class.) What a are you using? Show clearly how you calculated this number.

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