Description

1. For problem #1, fill in the blank column in the two tables. 

Consider the very simplistic population made up of only the 5 numbers {1, 3, 5, 7, 9} Suppose we select a simple random sample (with replacement) of n=2 items from this population Each possible sample outcome consists of pair of numbers (first number, second number). For instance (3, 5) is the outcome of first sampling the number 3 and then sampling the number 5. For each of these outcomes you can construct a table of the possible means of each of these sample outcomes (the average of the two numbers):

(a) Since each of the 25 outcomes above is equally likely, what is the probability of each of these outcomes? (fraction OK)

(b) Construct a frequency distribution for each possible sample mean by adding together the probabilities of each outcome that give you that mean: 

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