Faculty at a local university randomly sampled nine tenured faculty at their university and found that a 99% confidence interval for the mean number of years of service to achieve tenure at this university is (11.335, 15.765).Based on this interval, does a faculty member who took 16 years to achieve tenure at this university have a reason to complain?
A) No, because the 99% confidence interval is wide and indicates it could take many years to achieve tenure.
B) No, because a sample of only nine faculty members is never reliable.We need to use a larger sample size.
C) Yes, because the interval indicates that the average time to achieve tenure should be less than 16 years with 99% confidence.
D) The interval does not allow us to answer this question.

Question

Quizplus · Accepted Answer

The confidence interval (11.335, 15.765) suggests that the mean number of years to achieve tenure is likely between these values with 99% confidence. Since 16 years is outside this range, it indicates that taking 16 years is longer than the average, giving a faculty member reason to question why it took longer for them.

Faculty at a Local University Randomly Sampled Nine Tenured Faculty