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Quiz_1 - “—1— “7‘3 IEOR 165 Spring 2007 Quiz 1 w...

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Unformatted text preview: “—1—. “7‘3 IEOR' 165 _ Spring 2007 Quiz# 1 w at ti . March 09, 2007 ELL 7 Q1: A random sample of size 9 is taken from population X. Suppose the sample mean is 102 and the sample variance is 144. 1. Find a, 95% (a) two-sided confidence interval for the mean and variance of population X. - (b) one-sided upper confidence interval for the mean and variance of population "X. 2. If we know that the population standard deviation is 11, Find a 95% confidence interval for the mean and variance of population X. Q2: Answer true or false to each of the next four statements. 1. Even if the samples are dependent but if they are identically distributed, the sample average is an unbiased estimator of the population mean. ' , 2. As long as the samples are independent, even if they are not identically distributed, the sample variance is always an unbiased estimator of the population variance. 3. Even if the samples are dependent but identically distributed, the sample average is a strongly consistent estimator of the pepulation mean. 4. As long as the samples are independent and identically distributed, the sample variance is a strongly consistent estimator of the population variance. WM ...
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