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

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 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 700 trees in the sample is too large.

Answer 1

The most valid 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 method of selecting a random sample of trees is an appropriate statistical practice, and a sample size of 700 from a population of 12,000 is considered large enough to provide a good estimate of the entire population's sweetness. However, it's important to note that while the sample can provide a useful inference, the actual sweetness of all apples from all trees may still vary. Nonetheless, the reasoning given in this response is the best choice among the options provided.