Let's assume μ = 1500 and σ = 275kg. Now assume you take a sample of n = 7 male hippos. a) What is the probability of the sample average being within 200kg of the population mean (1500kg)? In other...

Let's assume μ = 1500 and σ = 275kg. Now assume you take a sample of n = 7 male hippos.

a) What is the probability of the sample average being within 200kg of the population mean (1500kg)? In other words, you need to figure out Pr{ μ - 200 < ȳ="">< μ="" +="">

b) What is the probability of the sample average being within 200kg of the population mean if the population mean is actually μ = 1750 kg? Are you surprised? Why or why not?

c) Now assume a sample of n = 13 male hippos and repeat (a) What is the effect of sample size?