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MMLU-Pro / 8100 / 5.6-13. The tensile strength X of paper, in pounds per square inch, has…

Problem

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

question

5.6-13. The tensile strength XX of paper, in pounds per square inch, has μ=30\mu=30 and σ=3\sigma=3. A random sample of size n=100n=100 is taken from the distribution of tensile strengths. Compute the probability that the sample mean X¯\bar{X} is greater than 29.5 pounds per square inch.
Plain-text mathematical notation (without MathML)
5.6-13. The tensile strength X of paper, in pounds per square inch, has μ=30 and σ=3. A random sample of size n=100 is taken from the distribution of tensile strengths. Compute the probability that the sample mean (X)¯ is greater than 29.5 pounds per square inch.
Original LaTeX notation
5.6-13. The tensile strength $X$ of paper, in pounds per square inch, has $\mu=30$ and $\sigma=3$. A random sample of size $n=100$ is taken from the distribution of tensile strengths. Compute the probability that the sample mean $\bar{X}$ is greater than 29.5 pounds per square inch.

category

math

options

  1. $0.9522$
  2. $0.6345$
  3. $0.8421$
  4. $0.9147$
  5. $0.8654$
  6. $0.9934$
  7. $0.8085$
  8. $0.9772$
  9. $0.7251$
  10. $0.8913$

src

scibench-stat

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Source and history

upstream_id / Original problem ID
8100
task_id
650a28d5-84c1-5ef4-9c45-9b8a79143856
task_key
default--test--8100
task_revision_id
1
config / split
default / test

Official source

initial import