Question

Test whether at the 0.01 level of significance for the sample data shown in the accompanying table Assume that the populations are normally distributed Click the icon to view the datatable Determine the null and alternative hypothesis for this test OA. HOR Sample Data - X OB. Het Ha OCH 12 n Population 1 33 1035 123 Population 2 25 1145 133 OD. HE 2 Hyh Print Done Determine the value for this hypothesis test P-Round to three decimal places as needed) Saate the Choose the

Answer 1

Solution! For pop? 1 ni= 33, X = 103.5, Si = 12.3 For popr 27 22 =25, 72 = 114.5, S2= 3.3 &&= orol Problem is to test Ho: Mieh Vs. Hi M, < Jest statistica (As pops std.der. t = X, X2 ~ toitm-2 are unknownt test is used.) ni m where s² - (ni-s, 2 + (12-1) S2² nitm-2 (32) (12.3)2 + (24) (13.312 33 +25 - 2 162.2614 s = 12.7382 t 103.5 - 114.50 -3.25.68 12.7382 33 25 Critical value - At il los tnito, -2, x = 156.o.ol otro + 2.395 -tro-- 2.395 p-value = PET<-3.2568] 0.00096 <x=0.01 Deasion! As p-value & Also tra C-tso, we reject Ho at 1 % d.o.s. Conclusion - There is sufficiest evidence to conclude that li<l.