Question: Q2 [20 points] A random sample X1, ...,X30o is drawn from a population with a mean / = 80 and standard deviation o = 30

Q2 [20 points] A random sample X1, ...,X30o is drawn from a population with a mean / = 80 and standard deviation o = 30 but an unknown distribution. Let U = (X1 + ...+X100)/100 represent the sample mean of the first 100 observations and V = (X100 + ...+X3oo)/200 represent the sample mean of the last 200 ob- servations. a[10 points] What are the approximate distributions of U and V? b[10 points] Which probability would you expect to be larger, P(70

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