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Unformatted text preview: σ =0.35 (ppm). A sample of ten fish was selected from Florida lakes and mercury concentration in the muscle tissue was measured (ppm). 1.230 0.490 1.080 0.590 0.280 1.200 0.710 0.190 0.730 0.340 (a) Find the maximum likelihood estimate of the unknown population mean µ . The log likelihood function is ( 29 ( 29 ( 29 ∑ = = 10 1 2 2 35 . 2 1 35 . ln 2 10 2 ln 2 10 i i x L μ π Taking of the first derivative of ( 29 L versus µ and solve for µ. 684 . = = ∧ x (b) Construct a 95% confidence interval for µ . Ans: (0.467, 0.901) (c) How large a sample is required if we want to be 95% confident that our estimate of µ is off by less than 0.05 ppm. Ans: 189 Problem #3: 9.12 Problem #4: 9.25 Practice problem: Not required for anyone....
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 Spring '11
 Qiu
 Normal Distribution, Probability theory, Likelihood function, µ, maximum likelihood estimate, Mercury contamination

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