Confidence Level for Sample Means
qThe probability that a sample mean, x, lies between m-sx and m+ sx may be written:
q
q
qHowever, it is more important to
find out the confidence interval for the population mean m.. The previous relation can be
written as:
q
q
qBut we don’t know the true value of s (the standard deviation of the population). If the sample size
is large enough (N³30), we can use s (the standard deviation estimated
by samples) to approximate s:
q