The percentage polygon above shows the distribution of Major League Baseball pla
ID: 3067023 • Letter: T
Question
The percentage polygon above shows the distribution of Major League Baseball player salaries from the 2012 season. A) How would you describe the shape of this distribution? If you took thousands of random samples of 30 baseball player salaries from this population of player salaries and calculated the mean salary of each sample you would have thousands of sample means. B) Describe how you would expect the distribution of those sample means to look, compared to the distribution of the population, and explain the reason(s) for your expectation.
Pct Polygon, MLB Player Salaries, 2012 Season 35.00% 30.00% 25.00% 20.00% 5.00% 10.00% 5.00% 0.00% rc 2 52555851545750535659525 20$ s12 2 27$ 2 6s 2$1 2 82 $0$0$0$ MtMtM 0134679 2 0$0$0$0$0$0$0$0$ Class MidpointsExplanation / Answer
(A)
The shape of the given distribution of Major League Baseball playersalaries from the 2012 season:
is J - shaped distribution. It isextremely asymmetrical in that the initial frequency group contains the highest frequency, with succeeding frequencies becoming smallerbelsewhere. The shape of the curve roughly approximates the letter "J" lying on its side.
(B) The distribution of the sample means will be approximately Normal Distribution, since by Central Limit Theorem, the sample means will be normally distributed for lage sample size n, irrespective of the shape of the parent population.
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