Probability of a sample being higher than a specified amount

#1
A population with a mean of 667 and SD 237.5, what is the probability that a sample of 200 people is greater than 710?
I used a norm.dist function on excel and got p=.428, do I need to add anything extra based on the sample size being 200?
 

Karabiner

TS Contributor
#2
Not the probabilty of z > (710-667) / 237.5 is asked here for, but the probabilty that the mean of your
sample (n=200) deviates that much from the population mean. So you need to consider "standard error
of the mean".


With kind regards

Karabiner