Question: Could you help giving me explanation on problems below ? Thanks Let X be a normal random variable with unknown mean and variance. We have

Could you help giving me explanation on problems below ? Thanks

Let X be a normal random variable with unknown mean and variance. We have following n = 8 samples for X: 7.12 7.23 6.78 6.31 5.99 6.58 7.90 7.05 (a) (5 points) Compute the probability that the median m of X is con- tained in the interval (6.31, 7.05). (10 points) Let 2 be the smallest number so that you can be at least 90% condent that the median m is contained in (6.31, 2). Give your best guess for z

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