Calculate the population mean

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Zheng Xue is a diver, and she just performed a dive in an aquatics competition. There were six judges and the scores given by the judges are as follows -

Judge 1 -  7.6
Judge 2-  8.2
Judge 3 - 9.2
Judge 4 - 5.8
Judge 5-  6.9
Judge 6-  8.0

Generally, 4 of the 6 scores are selected randomly and added up to calculate the final score.

a. Calculate the population mean.

b. How many different samples of four scores are possible?

c. List all possible samples of size 4 and compute the mean of each.

d. Based on your findings what is the highest and lowest possible final scores?

e. Compute the mean of the sample means and compare it to the population mean.

Reference no: EM133215271

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