1.The Central Limit Theorem is important in statistics because:

a.For n large, it says the distribution of the sample mean is approximately normal, regardless of the shape of the population.

b.For any sample size, it says the sampling distribution of the sample mean is approximately normal.

c.For n large, it says the distribution of the sample mean is exactly normal, regardless of the shape of the population.

d.For any sample size, it says the sampling distribution of the sample mean is exactly normal

2.Suppose X has a normal distribution andrepresents the average of a sample of size n. Which of the following is true?

a.has an approximate normal distribution for any value of n.

b.has an approximate normal distribution if n is large enough.

c.has an exact normal distribution for any value of n.

d.has an exact normal distribution if the sample size is large enough.

3.The Central Limit Theorem tells us about the _____________________ of the sampling distribution of when X does not have a normal distribution:

a.Shape

b.Mean

c.Standard Error

d.All of the above