Refer to problem 1. Now assume you take a sample of n = 7 dinosaurs.

a) What is the probability of the sample average being within 300 kg of the population mean (8,000 kg)? In other words, you need to figure out Pr{ - 300 < Y < + 300}

b) What is the probability of the sample average being within 300kg of the population mean if the population mean is actually = 7,400 kg? Are you surprised? Why or why not? You should make sure you understand what happened here.

c) Now assume a sample of n = 14 dinosaurs and repeat (a). What is the effect of sample size?