Question

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)
Responses

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

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

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

Answer 1

Yes — because the 700 trees were chosen at random and the sample size (700 out of 12,000) is large enough to produce a representative, low‑bias estimate of sweetness. (This assumes one apple per tree is representative of that tree’s fruit.)