1. You are using 4-sided tetrahedral dice in a dice game. One of these 4-sided dice has the numbers 2, 3, and 4, one on each side of the die. Let's consider the population consisting of {1, 2, 3, 4}. If two numbers are randomly selected with replacement, identify the following:
- The mean of the population.
- The sampling distribution of all possible samples of size 2 by creating a table representing the probability distribution of the sample means.
- The mean of the sample means and compare it to the population mean.
- Do the values of the sample means target the value of the population mean, μ?