Suppose students' ages follow a skewed right distribution with a mean of 21 years old and a standard deviation of 2 years. If we randomly sample 450 students, which of the following statements about the sampling distribution of the sample mean age is incorrect?
A) The standard deviation of the sampling distribution is equal to 2 years.
B) The shape of the sampling distribution is approximately normal.
C) The mean of the sampling distribution is approximately 21 years old.
D) All of the above statements are correct.

Question

Quizplus · Accepted Answer

The standard deviation of the sampling distribution (standard error) is the population standard deviation divided by the square root of the sample size, which is 2/√450, not 2 years.

Suppose Students' Ages Follow a Skewed Right Distribution with a Mean