Suppose we are considering sampling 23 different nursing homes to see how often folks in nursing homes receive visits. The national average is 5 visits per month with a standard deviation of 1.4.

a.) What assumptions do we need to hold in order to use the CLT? (Hint: there are 3 of them).

b.) Provide an example for a violation of each of the three assumptions in part a. Be sure your examples

are relevant to our nursing home context.

c.) Find the probability that our sample statistic will be within a 1 visit window of the national average

P(4