Despite its nutritional value, seafood is only a tiny part of the American diet, with the average American eating just 16 pounds of seafood per year. Janice and Nina both work in the seafood industry and they decide to create their own random samples and document the average seafood diet in their sample. Let the standard deviation of the American seafood diet be 7 pounds.
a. Janice samples 42 Americans and finds an average seafood consumption of 18 pounds. How likely is it to get an average of 18 pounds or more if she had a representative sample?
b. Nina samples 90 Americans and finds an average seafood consumption of 17.5 pounds. How likely is it to get an average of 17.5 pounds or more if she had a representative sample?
c. Which of the two women is likely to have used a more representative sample? Explain.