Question

1. Consider the hypothesis test Ho: Mi=u2 against Hj: uit U2. Suppose that sample sizes are ni = 13, n2 = 10 #1=4.7, X 2 =6.8, s1=2 and s2 =2.5. Assume that the data are randomly drawn from two independent Normal distributions (a) Confirm that it is reasonable to assume o? = ož by completing the steps i. through v. below. Use a = 0.05. Ho: 0 = ož Ho: 02 i. Test Statistic: ü. Rejection Criterion: iii. Decision (reject or do not reject the null hypothesis): iv. The probability you made an incorrect decision: v. Conclusion (state in the terms of this test):

Answer 1

Page No Cinew: x = 4.7 S, S₂ 2205 1,210 o i Test Statistic of 52 2² 20 64 SV Q² (ii) Rejection Region R-24:1f123.868] (is) we do to wat ergent Ho. (v) 0.05 (2 Type 1 euron) (V) There is no evidence to sup leejut the he tuit equal topulation hautatiles (6) Moo M. z M, H. M & M, nth, the 2 1. Test statistic : x x [h, DS, ² th, 1)5²/ hth, 2. (h, na

Date 2-1.006 4.7-6.8 13-1) 2°7(10-1)2:34 13 10 (i) Rejection Region's R=Stilt > 2:08} civ) We do naturgut The hull hypothesis (N) 0.05 (2, Type I euron ( There is no evidence to rejut the claim that the two samples have weans at Sl lend I liguificance different