STAT 1051 Lecture Notes - Lecture 29: Confidence Interval, Test Statistic, Null Hypothesis
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0 u u1 2 u u1 2. Z = u u1 2 u1 2 u. As before, similar to the single population case. Since it is a 2 sided test we calculate. Only one of them has to be. The variances of the two populations are equal. Confidence interval of u1 - u2 is given by: Suppose we are testing h 0 : 1 - 2 = d 0 , against, Since sample size is small, and we have normality, we have to use t-statistic. Two teaching methods are used for teaching introductory stat course. Ex: following tables give the test score(out of 60) of the students taking the course using the two methods. we want to see if there is difference between the two teaching methods. n1 = Examples: comparison of mean scores of student before and after training program, weights of individuals before and after a diet program.