A random sample of size 36 is taken from a population with a mean of 50 and a standard deviation of 5.The sampling distribution of ____________________.
A)Cannot be determined
B)Is skewed to the left
C)Is approximately normal
D)Is skewed to the right

Question

A random sample of size 36 is taken from a population with a mean of 50 and a standard deviation of 5.The sampling distribution of  ____________________.
A)Cannot be determined 
B)Is skewed to the left 
C)Is approximately normal 
D)Is skewed to the right

Quizplus · Accepted Answer

According to the central limit theorem, the sampling distribution of the sample mean will be approximately normal if the sample size is greater than or equal to 30. In this case, the sample size is 36, which is greater than 30. Therefore, the sampling distribution of the sample mean will be approximately normal.

A Random Sample of Size 36 Is Taken from a Population