# For which of the following would it be most appropriate to use an ANOVA to analyze the data?

A. A researcher is interested in determining the most effective format for advertising. He randomly assigns 60 people to one of three groups: (1) television commercial, (2) radio commercial, or (3) magazine advertisement. Group members review the commercial and then report whether or not they would buy the product.
B. In order to determine the effectiveness of different diet plans, 90 people are randomly assigned to one of three groups: (1) low calorie diet, (2) low-fat diet, or (3) low-carb diet. At the end of 60 days, the number of pounds lost was recorded for each of the participants.
Both A and B.
Neither A nor B.

## To determine which situation is most appropriate for using an ANOVA (Analysis of Variance) to analyze the data, let's consider the key characteristics of ANOVA. ANOVA is used when you have two or more groups and want to compare the means of those groups to see if there are differences.

In situation A, the researcher is comparing the effectiveness of three different advertising formats (television, radio, and magazine). They are randomly assigning participants into one of these three groups and measuring whether or not they would buy the product after reviewing the commercial. Here, ANOVA would be appropriate because the researcher wants to compare the means (i.e., the proportions of people who would buy the product) across the three groups.

In situation B, the purpose is to determine the effectiveness of three different diet plans (low calorie, low-fat, and low-carb) by measuring the number of pounds lost at the end of 60 days. Similarly to situation A, ANOVA would be suitable here because the researcher wants to compare the means (i.e., the average pounds lost) across the three diet plan groups.

Therefore, the correct answer is A. A researcher interested in determining the most effective format for advertising and a researcher wanting to determine the effectiveness of different diet plans would both use ANOVA to analyze their respective data.