Suppose the ages of students in Statistics 101 follow a right skewed 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 deviation of the sampling distribution is equal to 3 years.
C)The shape of the sampling distribution is approximately normal.
D)The standard error of the sampling distribution is equal to 0.3 years.

Question

Quizplus · Accepted Answer

The standard deviation of the sampling distribution, also known as the standard error, decreases as the sample size increases and is calculated as the population standard deviation divided by the square root of the sample size (n). Therefore, with a sample size of 100, the standard deviation of the sampling distribution would not be equal to the population standard deviation of 3 years, but rather 3/sqrt(100) = 0.3 years, making option B incorrect.

Suppose the Ages of Students in Statistics 101 Follow a Right