, 1. Suppose that you take a sample of size 20 from a population that is not normally
distributed. Can the sampling distribution of be approximated by a normal probability
distribution?
No because the sample has to be at least 30 to use sampling distribution of 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 be approximated by a normal probability distribution?
Yes, the sample size can be approximated by a normal probability distribution 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.