1.A survey selects a simple random sample of n = 500 people from a town of 55,000. The sample shows a mean of 2.3 health problems per person. Based on this information, say whether each of the following statements is true or false. Explain your reasoning in each instance. No calculations necessary.

a.It is reasonable to assume that the number of health problems per person will vary according to a normal distribution.

b.It is reasonable to assume that the sampling distribution of the mean will vary according to a normal distribution.