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Unformatted text preview: =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 . 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 Taking of the first derivative of ( 29 L versus and solve for . 684 . = = x (b) Construct a 95% confidence interval for . Ans: (0.467, 0.901) (c) How large a sample is required if we want to be 95% confident that our estimate of 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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This note was uploaded on 01/19/2012 for the course IEN 311 taught by Professor Qiu during the Spring '11 term at University of Miami.
 Spring '11
 Qiu

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