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Unformatted text preview: 620-202 Practice Class/Computing Lab-oratory 4.1. (6.8-1) LetXbe the length of a male grackle (a type of bird). SupposeXN(,4.84). Find the sample size that is needed if we are to be 95% confident themaximum error (ie.z/2(/n)) of the estimate ofis 0.4. (z.025= 1.96)2. (6.8-7) For a public opinion poll for a close election, letpdenote the proportionof votes who favour candidate A. How large a sample should be taken if we wantthe maximum error of the estimate ofpto be equal to(a) 0.03 with 95% confidence?(b) 0.02 with 95% confidence?(c) 0.03 with 90% confidence? (z.05= 1.645).3. (6.9-3) LetY1<< Y5be the order statistics of 5 independent observationsfrom an exponential distribution that has a mean of= 3.(a) Find the p.d.f. of the sample medianY3.(b) Compute the probability thatY4<5.(c) DetermineP(1< Y1).4. (6.9-9) LetX1,...,X10be a random sample of sizen= 10 from a distributionwith p.d.f.f(x;) = exp(-(x-)),x <....
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