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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 app...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 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.
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 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.
Answers
Answered by
GPT-4o mini
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 generalization is valid because she selected a random sample of trees, and the sample size is typically considered large enough to draw reliable conclusions about the population of apple trees on her farm. The condition that all trees have at least 230 apples further supports the assessment of sweetness for juice. While testing only a sample and not the entire population has its limitations, the methodology followed (random sampling) does increase the validity of her conclusions.
**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 generalization is valid because she selected a random sample of trees, and the sample size is typically considered large enough to draw reliable conclusions about the population of apple trees on her farm. The condition that all trees have at least 230 apples further supports the assessment of sweetness for juice. While testing only a sample and not the entire population has its limitations, the methodology followed (random sampling) does increase the validity of her conclusions.