Mathematics Question
Instructions:
The following are the heights (in inches) of five starters in a basketball team.
Heights of PlayersPlayer A B C D EHeight (in)76 79 80 83 87
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.
These five players are your population, compute the pupulation mean.
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 (you will compute ten sample means in this step since there are 10 pairs without repetition). Compare all these ten sample means with the actual population mean of all five players in part one.
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 from parts 2 – 3 above. What is your conclusion after comparing the sample means with the actual population mean?
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