Herpetologists found that a certain species of reticulated python have an average length of 20.5 feet with a standard deviation of 2.3 feet. The scientists collect a random sample of 30 adult pythons and measure their lengths.

a) Describe the sampling distribution of this sample mean.

b) What conditions need to be satisfied for your answer in part (a) to be correct?

c) In their sample, the mean length was 19.5 feet long. One of the herpetologists fears that pollution might be affected the natural growth of the pythons. Do you think this sample result is unusually small? Explain.