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Suppose that you purchased two brands of laundry detergents ("Cleaner" and "Tide") and choose three different temperature levels ("cold", "warm" and "hot"). For each of the 6 combinations, you measured the amount of dirt removed 10 times. a) [6 pts] Let SSA denote the sum of squares for brand of detergent, SS denote the sum of squares for temperature, and SSap denote the sum of squares for the interaction. Under the two-way ANOVA model, and if brand doesn't have an effect, then what distribution does" SSB 72 follows? If the distribution involves degrees of freedom, provide the explicit number of degrees of freedom