A farmer wants to know if her apples are sweet enough for juice. The farm has 12,000 apple trees. Each one has at least 230 apples. The farmer randomly chose 700 trees and picked one apple from each tree for testing. She then generalized that the trees are sweet enough for juice. Is the farmer's generalization valid? (1 point)

Question

Yes, because all the trees in the sample have at least 230 apples.

No, because 700 trees in the sample is too large.

No, because she did not include all 12,000 trees in the sample.

Yes, because the trees in the sample are chosen randomly. The sample size also appears to be large enough to avoid bias.

Answer 1

The correct answer is:

Yes, because the trees in the sample are chosen randomly. The sample size also appears to be large enough to avoid bias.

A random sample helps to ensure that the selection is representative of the larger population, and 700 is typically considered a sufficient sample size for making generalizations, assuming the sample is representative. The fact that all trees in the sample have at least 230 apples suggests a minimum quality, but the randomness of the pick and the size of the sample are the most critical factors for the validity of her generalization.