Question a-stud

3.6 Inference from Samples & Margin of Error - Population parameter estimation
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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.

A study was done on the weights of different types of fish in a pond. A

Medium-difficulty · SAT Math · Inference from Samples & Margin of Error — Population parameter estimation. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice D is correct. The sample of 150 largemouth bass was selected at random from all the largemouth bass in the pond, and since 30% of the fish in the sample weighed more than 2 pounds, it can be concluded that approximately 30% of all largemouth bass in the pond weigh more than 2 pounds.

Choices A, B, and C are incorrect. Since the sample contained 150 largemouth bass, of which 30% weighed more than 2 pounds, this result can be generalized only to largemouth bass in the pond, not to all fish in the pond.