Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Professional Associations » nyshsmath

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
ezseller@mail.nasboces.org

Posts: 43
Registered: 2/18/05
Re: A2/Trig #29
Posted: Jun 24, 2011 12:12 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply
att1.html (3.3 K)

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
fewer.

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





Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.