Suppose the ages of students in first-year Statistics follow a skewed-right distribution with a mean of 23 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?
A) The mean of the sampling distribution is equal to 23 years.
B) The standard error of the sampling distribution is equal to 0.3 years.
C) The shape of the sampling distribution is approximately normal.
D) The standard deviation of the sampling distribution is equal to 3 years.

Question

Quizplus · Accepted Answer

The standard deviation of the sampling distribution, often referred to 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 100, the standard error would be $3 / \sqrt{100} = 3 / 10 = 0.3$ years, not 3 years. This makes option D incorrect.

Suppose the Ages of Students in First-Year Statistics Follow a Skewed-Right