Suppose students' ages follow a skewed right distribution with a mean of 23 years old and a standard deviation of 4 years. If we randomly sample 200 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 4 years.
B) The mean of the sampling distribution is approximately 23 years old.
C) The shape of the sampling distribution is approximately normal.
D) All of the above statements are correct.

Question

Quizplus · Accepted Answer

The standard deviation of the sampling distribution of the sample mean is equal to the population standard deviation divided by the square root of the sample size, which is 4/√200, not 4 years.

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