Let Y1, Y2,..., Y5 be a random sample of size 5 from a normal population with mean 0 and
Chapter 7, Problem 7.37(choose chapter or problem)
Let Y1, Y2,..., Y5 be a random sample of size 5 from a normal population with mean 0 and variance 1 and let Y = (1/5) 5 i=1 Yi . Let Y6 be another independent observation from the same population. What is the distribution of a W = 5 i=1 Y 2 i ? Why? b U = 5 i=1 (Yi Y )2? Why? c 5 i=1 (Yi Y )2 + Y 2 6 ? Why?
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