suppose we selected a random sample of five woman from our school measure the height of each and calculated the sample mean if we wished to know whether the height of woman at our school is typical of height of women inourtown how should we compare our sample data to information we have
about the ourtown population distribution
Z = (mean1 - mean2)/standard error (SE) of difference between means
SEdiff = √(SEmean1^2 + SEmean2^2)
SEm = SD/√(n-1)
If only one SD is provided, you can use just that to determine SEdiff.
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to that Z score.