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MMLU-Pro / 9040 / 5.6-7. Let X equal the maximal oxygen intake of a human on a treadmill, where…

Problem

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

question

5.6-7. Let XX equal the maximal oxygen intake of a human on a treadmill, where the measurements are in milliliters of oxygen per minute per kilogram of weight. Assume that, for a particular population, the mean of XX is μ=\mu= 54.030 and the standard deviation is σ=5.8\sigma=5.8. Let X¯\bar{X} be the sample mean of a random sample of size n=47n=47. Find P(52.761≤X¯≤54.453)P(52.761 \leq \bar{X} \leq 54.453), approximately.
Plain-text mathematical notation (without MathML)
5.6-7. Let X equal the maximal oxygen intake of a human on a treadmill, where the measurements are in milliliters of oxygen per minute per kilogram of weight. Assume that, for a particular population, the mean of X is μ= 54.030 and the standard deviation is σ=5.8. Let (X)¯ be the sample mean of a random sample of size n=47. Find P(52.761≤(X)¯≤54.453), approximately.
Original LaTeX notation
5.6-7. Let $X$ equal the maximal oxygen intake of a human on a treadmill, where the measurements are in milliliters of oxygen per minute per kilogram of weight. Assume that, for a particular population, the mean of $X$ is $\mu=$ 54.030 and the standard deviation is $\sigma=5.8$. Let $\bar{X}$ be the sample mean of a random sample of size $n=47$. Find $P(52.761 \leq \bar{X} \leq 54.453)$, approximately.

category

math

options

  1. $0.7021$
  2. $0.5462$
  3. $0.6247$
  4. $0.5000$
  5. $0.9456$
  6. $0.4835$
  7. $0.7753$
  8. $0.2589$
  9. $0.8118$
  10. $0.3764$

src

scibench-stat

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Source and history

upstream_id / Original problem ID
9040
task_id
88076fb3-20bc-52fd-ac64-76e3cfa4e0bc
task_key
default--test--9040
task_revision_id
1
config / split
default / test

Official source

initial import