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

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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

choices

  1. the sample size is too small compared to the number of employees in the system to give a fair representation
  2. the skewed salary distribution tells us that assumption of normality of the sampled population will not be satisfied
  3. the population standard deviation of the salaries of employees of this county school system is not known
  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

subject

high_school_statistics

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Source and history

task_id
173d32df-3f28-5fa2-b742-424183d54712
task_key
all--test--173d32df-3f28-5fa2-b742-424183d54712
task_revision_id
1
config / split
all / test

Official source

initial import