True or false.

Suppose a sample of 225 was taken from a population with a standard deviation of 75 feet. In this case, the sample mean will be within 5 feet of the population mean 68% of the time.

(I think its true I just want to make sure, thanks!)

Question

True or false. 

Suppose a sample of 225 was taken from a population with a standard deviation of 75 feet. In this case, the sample mean will be within 5 feet of the population mean 68% of the time. 

(I think its true I just want to make sure, thanks!)

ganeshie8 · Answer

75/sqrt(225) = 5 is the standard deviation of sampling distribution

so 5 feet corresponds to one standard deviation

hockeychick23 · Answer

and since one standard deviation=68% its true right?

ganeshie8 · Answer

68% of the values are within one standard deviation of the mean
so you're absolutely right!

hockeychick23 · Answer

ok thanks!