STAT231 Study Guide - Midterm Guide: Maximum Likelihood Estimation, Simple Random Sample, Normal Distribution
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Solutions and a marking scheme for test 2. Give part marks for correct steps if final answer is wrong. Give full marks for correct final answer: the distribution of scores for the final exam in a statistics course has a gaussian distribution with a mean of 74 and a standard deviation of 14. A random sample of 49 exam papers is selected. 9332 (1 mark: consider a simple random sample. 1: let x1 , x2 , , xn be a simple random sample from a distribution with the pdf xf. 1 otherwise: use the method of moments to obtain an estimator of. X (1 mark: obtain the maximum likelihood estimator of. , [1 mark] so the log likelihood is n ln. D and equating to 0 yields n so. 2: 8 squirrels were found to have an average weight of 9. 7 ounces with a sample standard deviation of 0. 20 ounces. The model we use for the weights is.
