# Population Mean

Q5: A group of poker players are profile in this month's magazine. The table below lists their name and average winnings per tournament. Consider this to be a population.

Player Average Winnings

Seattle Slim $27000

KC Kate $33000

Minnesota Mel $45000

Gotham City Graced $35000

The Player $60000

a) find the mean and standard deviation of this population.

b) List all possible samples of size 2.

c) Find the sample average for each sample.

d) Find x-bar

e) What is the arithmetic difference between Âµ and Âµ-x-bar?

f) Will this always be true?

g) Should the small population/large sample adjustment factor be used in this case? Show why or why not.

h) Find ơ x-bar.

See attached file for full problem description.

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#### Solution Summary

To show that population mean is equal to mean of sample mean.