The average age in a sample of 190 students at City College is 22. As a result of this sample, it can be concluded that the average age of all the students at City College
A) must be more than 22, since the population is always larger than the sample.
B) must be less than 22, since the sample is only a part of the population.
C) could not be 22.
D) is around 22.

Question

Quizplus · Accepted Answer

The best choice is D because the sample provides an estimate of the population mean and therefore, the population mean is expected to be around 22. However, it is possible that the true population mean is slightly above or below 22 due to sampling variability. Therefore, it cannot be concluded with certainty that the population mean is exactly 22, which eliminates choices A, B and C as incorrect.

The Average Age in a Sample of 190 Students at City