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Question: probemume that the distribution 4o lat bethe sample mean of...

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Probem.ume that the distribution 4o, Lat bethe sample mean of a random sample of n- 16 observations of X a) True or false: (1) E(X) E(X)? (2) E(X) = X? Briefly explain your reasoning. b) Give the values of E(X) and Var(X) c) Find P(44.42 X48.98). d) Let s2 be the sample variance of the 16 observations. Find constants a and b so that P(a $2-b) = 0.9. Hint: What is the distribution of s2? (note that it is not gaussian, but there is a table for it too).
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