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 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.

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.

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

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

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.

This choice is the most valid because the farmer selected her sample randomly, which helps eliminate bias in the selection of trees. Moreover, a sample size of 700 is typically considered large enough to make reliable generalizations about the entire population of 12,000 trees, assuming the sample is representative. The other options either misinterpret the relevance of the sample size or incorrectly suggest that not including all trees invalidates the generalization.