QUATION 2 PLEASE 1) The average female bobcat weight about 9.6 kg. Let's assume μ =...

QUATION 2 PLEASE

1) The average female bobcat weight about 9.6 kg. Let's assume μ = 9.6 and σ = 1.65kg. a) Calculate Pr{Y > 10.3} b) Now assume you have a sample of n = 26 male bobcats. Calculate Pr{ Ȳ > 10.3}. c) Which probability is lower? Why? 2) Refer to problem 1. Now assume you take a sample of n = 4 male bobcats. a) What is the probability of the sample average being within 0.75 kg of the population mean (9.6 kg)? In other words, you need to figure out Pr{ μ - .75 < Ȳ < μ + .75} b) What is the probability of the sample average being within 0.75 kg of the population mean if the population mean is actually μ = 10.8 kg? Are you surprised? Why or why not? You should make sure you understand what happened here. c) Now assume a sample of n = 26 male bobcats and repeat (a). What is the effect of sample size?

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