Question

a study was done on the weights of different types of fish in a pond. a random sample of fish were caught and marked in order to ensure that none were weighed more than once. the sample contained 150 largemouth bass, of which 30% weighed more than 2 pounds. which of the following conclusions is best supported by the sample data? a. the majority of all fish in the pond weigh less than 2 pounds. b. the average weight of all fish in the pond is approximately 2 pounds. c. approximately 30% of all fish in the pond weigh more than 2 pounds. d. approximately 30% of all largemouth bass in the pond weigh more than 2 pounds.

Explanation:

Step1: Analyze the sample data

The sample is of largemouth bass only, not all fish in the pond. 30% of the sampled largemouth bass weighed more than 2 pounds.

Step2: Evaluate each option

• Option A: We only have data on largemouth bass, not all fish, so we can't say this.
• Option B: There is no information about the average weight of all fish.
• Option C: The sample is just largemouth bass, not all fish in the pond.
• Option D: Since the sample is a random sample of largemouth bass and 30% of them weighed more than 2 pounds, we can infer that approximately 30% of all largemouth bass in the pond weigh more than 2 pounds.

Answer:

D. Approximately 30% of all largemouth bass in the pond weigh more than 2 pounds.