Question: Suppose that X1, X2., Xn is a random sample from a continuous probability distribution with median μ (a) Show that Hint: The complement of the

Suppose that X1, X2., Xn is a random sample from a continuous probability distribution with median μ
(a) Show that


< max(X;)} P {min(X,) < i < max(X,)} = 1 - n-1 /2 -I2
Hint: The complement of the event [min(Xi) (b) Write down a 100 (1 €“ a) % confidence interval for the median μ where

< max(X;)} P {min(X,) < i < max(X,)} = 1 - n-1 /2 -I2

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