A random sample of size 36 is taken from a population with mean 50 and standard deviation 5.The sampling distribution of ____________________.

Question

A random sample of size 36 is taken from a population with mean 50 and standard deviation 5.The sampling distribution of  ____________________.

Quizplus · Accepted Answer

According to the Central Limit Theorem, the sampling distribution of the sample means will be approximately normal, regardless of the shape of the population, as long as the sample size is sufficiently large (n ≥ 30) and the population standard deviation is known. In this case, the sample size is 36 which is larger than 30 and the population standard deviation is known as 5. Therefore, the sampling distribution of the sample means is normal.

A Random Sample of Size 36 Is Taken from a Population