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MMLU-Pro / 8338 / Fifty oranges of one variety were selected at random and weighed. A 95 percent…

Problem

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question

Fifty oranges of one variety were selected at random and weighed. A 95 percent confidence interval computed from the sample weights to estimate the mean weight of oranges of this variety is (7.58, 8.72) ounces. Which of the following statements is true with respect to the confidence level used?

category

math

options

  1. In repeated samplings of the same size, 95 percent of the intervals constructed will contain the true mean weight of the oranges of this variety.
  2. Ninety-five percent of the oranges of this variety weigh between 7.58 and 8.72 ounces.
  3. In repeated samplings of the same size, 5 percent of the intervals constructed will contain the true mean weight of the oranges of this variety.
  4. Ninety-five percent of the oranges in this sample weigh exactly 7.58 or 8.72 ounces.
  5. In repeated samplings of the same size, 95 percent of the intervals constructed will contain the sampled mean weight of the oranges.
  6. In repeated samplings of the same size, 95 percent of the oranges will weigh between 7.58 and 8.72 ounces.
  7. In repeated samplings of the same size, 95 percent of the intervals constructed will exclude the true mean weight of the oranges of this variety.
  8. Ninety-five percent of the oranges of this variety weigh exactly 7.58 or 8.72 ounces.
  9. The interval (7.58, 8.72) ounces represents the range of all possible mean weights of the oranges of this variety.
  10. Ninety-five percent of the oranges in this sample weigh between 7.58 and 8.72 ounces.

src

ori_mmlu-high_school_statistics

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Source and history

upstream_id / Original problem ID
8338
task_id
aab03791-2947-5780-b391-88a9ec71d335
task_key
default--test--8338
task_revision_id
1
config / split
default / test

Official source

initial import