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MMLU-Pro / 8122 / The distribution of salaries of a county school system with 4,752 employees is…

Problem

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question

The distribution of salaries of a county school system with 4,752 employees is known to be right skewed, with the superintendent’s salary an outlier on the higher side. A random sample of 20 employees was taken and their salaries recorded. A 95 percent t-confidence interval for the mean salary of the county school system employees is (15,360,15,360, 32,470). The t-confidence interval is not appropriate in this situation because
Plain-text mathematical notation (without MathML)
The distribution of salaries of a county school system with 4,752 employees is known to be right skewed, with the superintendent’s salary an outlier on the higher side. A random sample of 20 employees was taken and their salaries recorded. A 95 percent t-confidence interval for the mean salary of the county school system employees is (15,360,32,470). The t-confidence interval is not appropriate in this situation because
Original LaTeX notation
The distribution of salaries of a county school system with 4,752 employees is known to be right skewed, with the superintendent’s salary an outlier on the higher side. A random sample of 20 employees was taken and their salaries recorded. A 95 percent t-confidence interval for the mean salary of the county school system employees is ($15,360, $32,470). The t-confidence interval is not appropriate in this situation because

category

math

options

  1. the sample size is too large compared to the number of employees in the system to give a fair representation
  2. the sample size is too small compared to the number of employees in the system to give a fair representation
  3. a 95 percent t-confidence interval is not appropriate for this kind of data
  4. the teacher salaries are not negotiable, but the superintendent’s salary is negotiable, so the superintendent’s salary should be excluded from the population sampled
  5. the population standard deviation of the salaries of employees of this county school system is known
  6. the salary distribution is not right skewed, but left skewed
  7. the skewed salary distribution tells us that assumption of normality of the sampled population will not be satisfied
  8. the population standard deviation of the salaries of employees of this county school system is not known
  9. the superintendent's salary is not an outlier on the higher side
  10. the teacher salaries are negotiable, and the superintendent’s salary is not negotiable, so the superintendent’s salary should be included in the population sampled

src

ori_mmlu-high_school_statistics

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Source and history

upstream_id / Original problem ID
8122
task_id
fa597771-36f4-5b58-ac83-324f96054ffd
task_key
default--test--8122
task_revision_id
1
config / split
default / test

Official source

initial import