Estimator of the population median
Describe that the sample median of random sample of size 5 from the exponential distribution with parameter λ isn't an unbiased estimator of the population median of that distribution.
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Let X1 and X2 be independent as well as exponentially distributed with paramaters L1 and L2, respectively, and let Y=min(X1,X2). That is, Y is the smaller of the two. What is the pdf of Y?
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ow is the rejection region defined and how is that related to the z-score and the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians are asked to complete hypothesis testing? Can you think of examples
Employ a = .01 and conduct a goodness of fit test to see whether the following sample appears to have been selected from a normal distribution.
Determine the null hypothesis and alternative hypothesis in symbols, test statistic, p-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.
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