STATS 401 Study Guide - Midterm Guide: Interpolation, Probability Plot, Random Variable
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You should provide your code (if any) and the numerical answer to each question, along with any written explanation that is requested: suppose you observe data x1, x2, . , xn, c, and let x = (x1 + + xn)/n, and let. Be the sample standard deviation of x1, . Give your answer in the simplest possible form. = (x1 + + xn + c)/(n + 1) = n x/(n + 1) + c/(n + 1) = x. The squared sample standard deviation can be simpli ed to (c x)2 + nx. /n. i=1 nx (xi x)2/n = (n 1) 2/n. i=1: suppose x is a random variable with cdf f (t) = 1 exp( t). For what values of c > 0 is p (x < c) < p (x > + c) (where is the median). Solution: the median is obtained by solving the equation f ( ) = 1/2 for .
