The following are the heights (in inches) of five starters in a basketball team.

Player ABCDE

Height 7678798186

In this discussion you will compare and talk about the mean of smaller samples and will compare these sample means with the population mean of those five players.

So, first compute and mention the population mean of these five players. That is, compute the mean of these five players. Next, create samples of size two (all possible pairs among all five players, there are ten total pairs that you can come up). Compute the mean of each sample of size two (each pair, again you will compute ten means in this step). Compare all these ten sample means with the actual population mean of all five players. Next, create all possible samples of size four (they are five groups where you will have four players in each group). Compute the mean of each of these groups which contain four players and compare these sample means with the actual population mean that you computed at the beginning.

Your task is to write a conclusion on your observations made as the size of your sample increases. What is your conclusion after comparing the samples means with the actual population mean?