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  3. let x1 x2xn be a random sampling of size n...

Question: let x1 x2xn be a random sampling of size n...

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Let X1,X2,...,Xn be a random sampling of size n 00 from a population with unknown mean Au but known variance o2 0.5. The sample mean is T 8.3 (a) Find a (two sided) 95% confidence interval for the population mean (b) Find a 99.9% upper-confidence bound for the population mean A. (c) Find a 90% lower-confidence bound for the population mean w. (d) Suppose we can now choose the number n of samples to collect. How many samples in total should we collect so that the error E IT-ul is such that we will be 90% confident that the error will satisfy ES 0.007? Let X1,X2, Xn be a random sampling of size n 0 from a normal population with unknown mean u and unknown variance o2. The sample mean is T 6 and the sample variance is s 0.3. Find a (two-sided) 95% confidence interval for the population mean pu.

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