The distribution of salaries of a county school system with 4,752 employees is known to be right skewed, with the super- intendent's salary an outlier on the higher side. A random sample of 20 employees was taken and their salaries recorded. A $$\(95 \% t\)$$-confidence interval for the mean salary of the county school system employees is $$\((\$ 15,360, \$ 32,470)\)$$. The $$\(t\)$$-confidence interval is not appropriate in this situation because
A.
the sample size is too small compared to the number of employees in the system to give a fair representation
B.
the skewed salary distribution tells us that assumption of normality of the sampled population will not be satisfied
C.
the population standard deviation of the salaries of employees of this county school system is not known
D.
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
E.
the salaries depend on the number of years of experience, which is not taken into account here
Exam No：AP Statistics Problem Set 11 Year：2024 Question No：24
Answer:
B
Knowledge points:
1.6 Describing the Distribution of a Quantitative Variable
5.7 Sampling Distributions for Sample Means
7.2 Constructing a Confidence Interval for a Population Mean
Solution:
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