Cereal marketing. The makers of Frumpies, “the breakfast of rug rats,” want to improve their marketing, so they consult you.

a) They first want to know what fraction of children, ages 10 to 13, like their celery-flavored cereal. What kind of study should they perform?

b) They are thinking of introducing a new flavor, maplemarshmallow Frumpies and want to know whether children will prefer the new flavor to the old one. Design a completely randomized experiment to investigate this question.

c) They suspect that children who regularly watch the Saturday morning cartoon show starring Frump, the flying teenage warrior rabbit who eats Frumpies in every episode, may respond differently to the new flavor. How would you take that into account in your design?