A simple random sample of size n=40 is obtained from a population with a mean of 20 and a standard deviation of 5. Is the sampling distribution normally distributed? Why?

• Yes, the sampling distribution is normally distributed because the sample size is greater than 30.
• Yes, the sampling distribution is normally distributed because the population is normally distributed.
• No, the sampling distribution is not normally distributed because the population is not normally distributed.
• No, the sampling distribution is not normally distributed because the population mean is less than 30.