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Mathematics 21 Online
OpenStudy (anonymous):

Help statistics question!!

jimthompson5910 (jim_thompson5910):

Are you referring to np > 5 and n(1-p) > 5 ?

jimthompson5910 (jim_thompson5910):

I also found this

jimthompson5910 (jim_thompson5910):

oh N = 10n N = population size n = sample size that sounds familiar in a way

jimthompson5910 (jim_thompson5910):

sorry N > 10n

jimthompson5910 (jim_thompson5910):

alright

jimthompson5910 (jim_thompson5910):

i found this too http://www2.fiu.edu/~tardanic/size.pdf it says `According to Moore/McCabe, this is true, strictly speaking, as long as the population is at least 100 times larger than the sample.`

jimthompson5910 (jim_thompson5910):

ok I guess the rule isn't 100% solid

jimthompson5910 (jim_thompson5910):

I would go with your book since that's what the teacher will use

jimthompson5910 (jim_thompson5910):

sure

jimthompson5910 (jim_thompson5910):

sigma = standard deviation sigma = sqrt(n*p*(1-p)) we don't know the value of p, but we do know n and sigma n = 50 sigma = 0.07 are you able to solve for p?

jimthompson5910 (jim_thompson5910):

hmm there may be another way to do this

jimthompson5910 (jim_thompson5910):

ok I figured out a shorter way

jimthompson5910 (jim_thompson5910):

\[\Large \sigma = \sqrt{\frac{p*(1-p)}{n}}\] \[\Large \sigma = \sqrt{\frac{p*(1-p)}{100}}\] \[\Large \sigma = \sqrt{\frac{p*(1-p)}{2*50}}\] \[\Large \sigma = \sqrt{\frac{1}{2}}*\sqrt{\frac{p*(1-p)}{50}}\] \[\Large \sigma = \sqrt{\frac{1}{2}}*0.07\] \[\Large \sigma \approx 0.0495 \approx 4.95\%\]

jimthompson5910 (jim_thompson5910):

The quantity \[\Large \sqrt{\frac{p*(1-p)}{50}}\] is the given standard deviation of 7% = 0.07

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