STAT101 Study Guide - Quiz Guide: Squared Deviations From The Mean, Test Statistic, Null Hypothesis
Document Summary
Q13 two random samples are drawn from two normal populations are as follows: Sample-a: 17 27 18 25 27 29 13 17. Sample-a: 16 16 20 27 26 25 21. Test whether the samples are drawn from the same normal population. X_{1} = [17 27 18 25 27 29 13 17 ] X_{2} = [16 16 20 27 26 25 21 ] Compare the means of two independent groups if they are significantly different. H0: the population means of two groups are equal. H1: the population means of two groups are different. Calculate the test statistic using this formula t = (x 1 - x 2) / se: t = 0. 054/2. 743 = 0. 01968. Calculate for (x 1-x 2). (x 1-x 2) = 21. 625-21. 571 = 0. 054. Calculate for se using this formula: se = sqrt((s1^2/n1) + (s2^2/n2)) Se = sqrt((6. 022^2/8) + (4. 577^2/7)) = 2. 743. Calculate for s1using this formula: s = sqrt(ssd/(n-1)) Calculate for s2 using this formula s = sqrt(ssd/(n-1)):
