STATS 401 Study Guide - Midterm Guide: Independent And Identically Distributed Random Variables, Probability Plot, Random Variable
Document Summary
Points are indicated for each problem, a perfect score is 95 points. Solution: to nd the pth quantile of x, solve for q. 1: (15pt) suppose we observe an iid sample z1, . , z10 from a normal population with mean 1 and standard deviation . Solution: the sample mean z has mean 1 and standard deviation : therefore. Z 1 is the standardization of z. The probability we wish to calculate is p ( z > 0), which can be transformed into a standard normal probability as follows. P ( z > 0) = p ( Thus we want to solve which is equivalent to. 10/ is q(1/4), where q is the normal quantile function. , x10 are iid with mean 3 and standard deviation 2, and y1, . , y15 are iid with mean 2 and standard deviation 4. The mean is 2 3 = 1. 42/15 + 22/10 1. 2: suppose we observe data.
