Question

The William G. Harding School of Public Affairs would like to evaluate its affirmative action program for students. After extended discussion, the faculty decides that all students will take the state civil service exam, and the scores on this exam will be used as the criterion of success. Write a memo discussing the results shown in the accompanying table. Regular Students Affirmative Action Students Mean 86.4 84.1 Standard deviation 17.3 28.2 n 44 19

Answer 1

Answer Here we use t- test for testing of difference of two Sample mean with null hypothesis Ho: meant = mean 2 alternate hypothesis Hi: meant & mean 2 the t statistic is given as t-(mean ) - mean 2)/((sp *('/21 + 1/na))) and sp?= ((01 - 1) si +(12-1)5%)/n and with df is nani+na-2 t= (86.4 - 84.1) / (21.11* C!/44 +1/14)) = - 1.4457 with df = 44+19-2=61 | Sp?= [[mi-1) si + (12-1) 523) n = ((111)173 * 0-3 + (1-1) + 2%-2 * 28 ) (A + 2 = 445.64 and Sp = 21:11 14 Scanned_with CamScanner

herel level of significance alpha is not mentioned. let it is 5% il. alpha = 0005 | Since the calculated t=1.4457 is less than the critical t (0.05,61) = 1.9996, so we fail to reject Ho and and conclude that mean I = meand at 5:4 level of Significance. il mean of regular students and affermative students are equal at 5% level of Significance. - The End - a Scanned with CamScanner