A sampling distribution, II Exercise 10.35 presents 50

Chapter 10, Problem 10.36

(choose chapter or problem)

A sampling distribution, II Exercise 10.35 presents 50 sample means x from 50 random samples of size 100. Find the mean and standard deviation of these 50 values. Th en answer these questions. (a) Th e mean of the population from which the 50 samples were drawn is m 5 0.5 if the random number generator is working properly. What do you expect the mean of the distribution of xs from all possible samples to be? Is the mean of these 50 samples close to this value? (b) Th e standard deviation of the distribution of x from samples of size n 5 100 is supposed to be sy!100 5 sy10, where s is the standard deviation of individuals in the population. Use this fact with the standard deviation you calculated for the 50 xs to estimate s. (In fact, s 5 0.289.)