1. Suppose that you take a sample of size 20 from a population that
is not normally distributed. Can the sampling distribution of x̄ be
approximated by a normal probability distribution?
No because the sample has to be at least 30 to use sampling distribution of
x̄ or be normally distributed.
1b. Suppose that you take a sample of size 50 from a population that is not
normally distributed. Can the sampling distribution of x̄ be approximated by
a normal probability distribution?
Yes, the sample size can be approximated by a normal probablity ditribution
because the sample size is greater than 30.
Answer Key
Yes. The sample size is greater than 30, therefore, we may
approximate by a normal probability distribution.