Suppose that X1, X2, . . . , Xn are i.i.d. N(, 2), where
Chapter , Problem 33(choose chapter or problem)
Suppose that \(X_{1}, X_{2}, \ldots, X_{n}\) are i.i.d. \(N\left(\mu, \sigma^{2}\right)\), where and are unknown. How should the constant c be chosen so that the interval \((-\infty, \bar{X}+c)\) is a 95% confidence interval for \(\mu\); that is, c should be chosen so that \(P(-\infty<\mu \leq \bar{X}+c)=.95\).
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