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) 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.

The key factors that make the farmer's generalization valid are the random selection of the trees and the relatively large sample size, which helps to ensure that the sample is representative of the larger population of apple trees. As long as the apples from the sampled trees are tested for sweetness, the farmer can make a reasonable generalization about the sweetness of apples from all the trees on the farm.