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MMLU-Pro / 8235 / A farmer wants to know whether a new fertilizer has increased the mean weight of…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A farmer wants to know whether a new fertilizer has increased the mean weight of his apples. With the old fertilizer, the mean weight was 4.0 ounces per apple. The farmer decides to test H0: μ = 4.0 ounces versus Ha : μ > 4.0 ounces, at a 5 percent level of significance, where μ = the mean weight of apples using the new fertilizer. The weights of apples are approximately normally distributed. The farmer takes a random sample of 16 apples and computes a mean of 4.3 ounces and a standard deviation of 0.6 ounces. Which of the following gives the p-value for this test?

category

math

options

  1. P(Z > 2)
  2. P(Z < 2)
  3. P(Z > 2) with 16 degrees of freedom
  4. P(t > 2) with 15 degrees of freedom
  5. P(t < 2) with 15 degrees of freedom
  6. P(Z < 1.5)
  7. P(Z > 1.5)
  8. P(t > 1.5) with 15 degrees of freedom
  9. P(t < 2) with 16 degrees of freedom
  10. P(t < 1.5) with 15 degrees of freedom

src

ori_mmlu-high_school_statistics

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Source and history

upstream_id / Original problem ID
8235
task_id
42272317-f809-55d0-b448-5555bb6cc5e0
task_key
default--test--8235
task_revision_id
1
config / split
default / test

Official source

initial import