Question: If X has ___________________ distribution EXCEPT a _________________ distribution, then the shape of the sampling distribution of is approximately ___________________ if n is large enough.

If X has ___________________ distribution EXCEPT a _________________ distribution, then the shape of the sampling distribution of is approximately ___________________ if n is large enough.

1.How large does n have to be for the CLT to take effect, assuming X did not have a normal distribution?

a.n at least 30

b.np at least 10 and n(1-p) at least 10

c.n can be any number

d.None of these

2.What aspects of does the CLT apply to?

a.Shape

b.Mean

c.Standard Error

d.All of the above

e.None of the above

3.The Central Limit Theorem states that, if a random sample of size n is drawn from a population, then the sampling distribution of the sample mean :

a.Is approximately normal if n >= 30

b.Is approximately normal if n < 30

c.Is approximately normal if the underlying population is normal

d.Has the same variance as the population

4.If X has a normal distribution, could you find a probability for if n was only 10?

a.Yes, because X has a normal distribution already.

b.No, because you always need n to be at least 30.

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