I) The average male hippopotamus (Hippopotamus amphibius} weighs about 1500kg. Let's assume ,u = 1500 and or = 3001-:g. a) Calculate Pr{ 1" i=- 16%} b} Now assume you have a sample of n = 10 male hippos. Calculate Pr{ I' 3- 1676}. c} 1Which probability is lower? m 1) Refer to problem 1. Now assume you take a sample ofn = 5 male hippos. a} 1What is the probability of the sample average being within 150kg of the population mean [1500kg)? In other words, you need to gure out Fir-I ,u - 150 'II 1\" -=: p + 150} b} What is the probability of the sample average being within 150kg of the population mean if the population mean is actually ,u = 1750 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 male hippos and repeat {a}. What is the effect of sample size? It You no out and collect the following estimates of' earthworms f acre