Question 1

1) The average male hippopotamus (Hippopotamus amphibius) weighs about 1500kg. Let's assume / = 1500 and a = 300kg. a) Calculate Pr{Y > 1676} b) Now assume you have a sample of n = 10 male hippos. Calculate Pr{ Y > 1676). c) Which probability is lower? Why? 2) Refer to problem 1. Now assume you take a sample of n = 5 male hippos. a) What is the probability of the sample average being within 150kg of the population mean (1500kg)