Question

a pizza lover wants to compare the average delivery times for four local pizza restaurants. over the course of a few weeks, he orders a number of pizzas from each restaurant, and he records the time it takes for each pizza to be delivered. a) when performing an anova with this data, what is the alternative hypothesis?

Answer 1

In an ANOVA test comparing average delivery times of four pizza restaurants, the alternative hypothesis is that at least one restaurant's average delivery time is different from the others.

Step-by-step explanation:

When performing an ANOVA (Analysis of Variance) with the data collected for comparing average pizza delivery times among four local pizza restaurants, the alternative hypothesis (Ha) would be that at least one of the restaurant's average delivery times is different from the others. The null hypothesis (H_o) for an ANOVA test is that there are no differences between the means, or in this case, that all restaurants have the same average delivery time. The alternative hypothesis challenges this by suggesting there is a variation in at least one of the means.

For instance, if we represent the average delivery time of each restaurant as μ1, μ2, μ3, and μ4, then the null hypothesis would be H_o: μ1 = μ2 = μ3 = μ4. Conversely, the alternative hypothesis would be Ha: at least one μi is different from the others (for some i ≠ j).