Suppose there is a population of 6 people on a sovereign island and that it is a law on their island that subjects of a study must be paid $20,000 per question. A researcher is hired to study the fish eating habits of the islanders and she only has a budget of $60,001 (the extra dollar will buy her lunch, fish of course, while she is there). She will take a SRS of 3 inhabitants. You are the monarch of the island and oo know the eating habits of the islanders, as is given below:

a) Find the population mean for the number of fish eaten per week.

b) Find all of the possible samples of sizes three (that don?t include any islander more than once) and find the sample mean for each sample.

c)

d) Find the mean of the sample means, m ₃

Islander Al Fish/week 35 Barb 21 Carl 21 Darlene Earl 16 30 Fran 8 X 15 P(x) 0.10 16.7 18 19.3 19.7 21.3 22.3 24 24.3 25.7 27 28.7