Suppose studentsʹ ages follow a skewed right distribution with a mean of 24 years old and a standard deviation of 3 years. If we randomly sample 350 students, which of the following
Statements about the sampling distribution of the sample mean age is incorrect?
A)The mean of the sampling distribution is approximately 24 years old.
B)The shape of the sampling distribution is approximately normal.
C)The standard deviation of the sampling distribution is equal to 3 years.
D)All of the above statements are correct.

Question

Quizplus · Accepted Answer

The standard deviation of the sampling distribution, also known as the standard error, is calculated as the population standard deviation divided by the square root of the sample size. Given a population standard deviation of 3 years and a sample size of 350, the standard deviation of the sampling distribution would be less than 3 years, making statement C incorrect.

Suppose Studentsʹ Ages Follow a Skewed Right Distribution with a Mean