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

Responses

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

No, because she did not include all 12,000 trees in the sample.
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.
Yes, because the trees in the sample are chosen randomly. The sample size also appears to be large enough to avoid bias.

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

Answer 1

The correct response is:

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

The farmer's choice of randomly selecting 700 trees from a total of 12,000 and testing one apple from each provides a reasonable basis for generalization, as long as the apples from the sampled trees accurately represent the overall population of apple trees in terms of sweetness.