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Unformatted text preview: 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 . Note: You are expected to write down the likelihood function and log-likelihood function and maximize the log-likelihood function with respect to µ . (b) Construct a 95% confidence interval for µ . (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. Problem #3: 9.12 (Here 2.45 is the sample standard deviation): (10.15, 12.45). Problem #4: 9.25 (Prediction interval): (6.05, 16.55). Practice problem: Not required for anyone. 9.4 and 9.8...
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- Spring '11
- Normal Distribution, probability density function, Maximum likelihood, Likelihood function, maximum likelihood estimate, Mercury contamination