The mean age of all graduates of a certain college is 35. If the population distribution is normal, the mean of any sampling distribution of sample mean ages of graduates of this college will be
A) within plus or minus 1 standard deviation of 35
B) close to 35
C) 35
D) determined by the size of the distribution

Question

Quizplus · Accepted Answer

The mean of any sampling distribution of sample mean ages will be equal to the population mean, which is given as 35. This is a property of the central limit theorem, which states that as the sample size increases, the sampling distribution approaches a normal distribution with a mean equal to the population mean. Therefore, the mean of any sampling distribution of sample mean ages will be 35.

The Mean Age of All Graduates of a Certain College