Ask your own question, for FREE!
Mathematics 16 Online
OpenStudy (anonymous):

help please******************

jimthompson5910 (jim_thompson5910):

any ideas?

jimthompson5910 (jim_thompson5910):

if we were to randomly pick 3 people, who are we most likely to pick?

jimthompson5910 (jim_thompson5910):

so you're very unlikely to pick the people making a lot of money that makes me think you'd have a distribution centered on the left end of the pay scale

jimthompson5910 (jim_thompson5910):

as your sample size grows, it becomes more probable to pick a high earner, thereby skewing the distribution to the right however, with a very large sample, the distribution of sample means will become more and more normal. So a large sample will have somewhat symmetric look to it

jimthompson5910 (jim_thompson5910):

this is due to the central limit theorem

jimthompson5910 (jim_thompson5910):

actually, the sample size for n = 3 will be very skewed to the right

jimthompson5910 (jim_thompson5910):

because of the small chance of picking a high earner

jimthompson5910 (jim_thompson5910):

so you start off very skewed, but as n grows, the distribution gets more symmetrical

jimthompson5910 (jim_thompson5910):

n = 10 is still skewed, but not as skewed as n = 3

jimthompson5910 (jim_thompson5910):

n = 50 is at this point pretty normal (maybe not completely) the common threshold is n = 30 anything above n = 30 will have a sampling distribution that's approximately normal

jimthompson5910 (jim_thompson5910):

you're welcome

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!