Question

3. Nutritionists agree that seafood has a significant nutritional value. However, the average American eats just 16 pounds of seafood per year. Jane and Nathan are owners of a seafood restaurant and they decide to study and document the average amount of seafood in the American diet. The standard deviation of the American seafood diet is estimated to be 7 pounds.

a. Jane samples 42 Americans and finds an average seafood consumption of 18 pounds. What is the probability of the sample average being 18 pounds or more?

b. Nathan samples 90 Americans and finds an average seafood consumption of 17.5 pounds. What is the probability of the sample average being 17.5 or more?

c. Which of the two samples are likely to be more representative of the population? Explain your answer.

Answer 1