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Topic: A2/Trig #29
Replies: 11   Last Post: Jul 29, 2011 12:51 PM

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Posts: 43
Registered: 2/18/05
Re: A2/Trig #29
Posted: Jun 24, 2011 12:12 PM
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It seems to me that the clue in this question is "normally distributed".
This question is being asked from the theoretical ideal situation.

>>> "Glenn Clemens" <clemens@twcny.rr.com> 6/24/2011 9:22 AM >>>

Can someone with a statistics background help me out with question 29
(82 video game players, ages normally distributed with mean 17 and std d
3; were there 15 players over the age of 20?).

Yes, in an ideal normal distribution (which I don?t think you?ll see
with 82 data points), 15.9% of the scores should be more than 1 sigma
above the mean. But in a sample from a normal, doesn?t this become an
expected value? In the given problem, we would EXPECT about 13 players
to be 20 years or older, but there could be more or there could be

Assume the 82 players were randomly sampled from a larger population
whose ages are normally distributed with the given mean and std d. If I
use a binomial distribution with n = 82 and p = 0.159, I get a 9.6%
chance that there will be exactly 15 players over the age of 20 and a
32% chance that there will be 15 or more players over the age of 20.
What then is the appropriate answer to ?Determine if there were 15
players in this study over the age of 20.?? Probably not but we can?t
be even close to sure.

I do not like the wording of this question. But my probability and
statistics education is a loooong time in the past. I?d appreciate a
second (third, fourth, . . . dozenth) opinion.

Glenn Clemens

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