Significance Test of the Difference of Means
q If we draw two samples from one population and obtain two different
means, how do we estimate the significance of the difference between
these two sample means?
q If we repeat these pair-sampling many many times, the probability
distribution for the mean difference will be a normal distribution with a
mean of zero and a standard deviation of:
q Test the null hypothesis that the samples come from the same
population ( m1= m2 as well as s1= s2) use the t-distribution with
     v = N1 + N2 - 1