Suppose the ages of students in a graduate program follow a right skewed distribution with a mean of 25 years and a standard deviation of 3 years. If we randomly sampled 100 students, which of the following statements about the sampling distribution of the sample mean age is incorrect?
- The shape of the sampling distribution is approximately normal.
- The standard error of the sampling distribution is equal to 0.3 years.
- The mean of the sampling distribution is equal to 25 years.
- The standard deviation of the sampling distribution is equal to 3 years.