The mean age of all college graduates is 35. If the population distribution is normal, the mean of any sampling distribution of sample mean ages of college graduates 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 means will always be equal to the population mean, which in this case is 35. The Central Limit Theorem states that as sample size increases, the sampling distribution of sample means will approach a normal distribution, regardless of the shape of the original population distribution. Therefore, the mean of the sampling distribution will be 35.

The Mean Age of All College Graduates Is 35