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:
Sun | Mon | Tue | Wed | Thu | Fri | Sat |
---|---|---|---|---|---|---|
30 | 31 | 1 | 2 | 3 | 4 | 5 |
6 | 7 | 8 | 9 | 10 | 11 | 12 |
13 | 14 | 15 | 16 | 17 | 18 | 19 |
20 | 21 | 22 | 23 | 24 | 25 | 26 |
27 | 28 | 29 | 30 | 1 | 2 | 3 |
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