Econ 41 - Final Sheet (24-28)

# Econ 41 - Final Sheet (24-28) - 24 In the context of the...

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Unformatted text preview: 24. In the context of the previous question, what is the appropriate critical value to test the hypothesis at the 1% signiﬁcance level? a) It is in [0,1] 1721‘s ’ 5U= rz_l‘)(2.ﬁ= I ’ a, : .ot b) It is in (1, 2] 7/ c) It is in (2, 5] TL ”201‘ “Matt, = 3.6% Jib is 111 (5,10] egNtone of the above. “it?” 25. Assume (X,, 1”,) are iid normal. We observe four draws, namely, (—1-1,0.8), (1,—.6), (.2, .5) and (— .1,.2). What is the sample correlation? 7 W Ja. is in [—1,—.]5 - _ . ‘ — \ tis in (— 5 ,][)] a ' 3’15 » b ~ “9‘4 . r ' affili/ c) It is in (0, .5] [catmla‘l‘or] d) It is in (5,.8] 9) None of the above. 26. In the context of the previous question, you want to test the hypothesis that the population correlation p of X,- and Y, equals 0. What is the value of the test statistic? a) It is in [—1,0] (L ~11 I b)Itisi11(0r2] i: r rtgg; = L.gqg) ‘ xfa-(ang> c) It is in (.2,5] (1 It is in (5,10] —‘ «.8431Q31‘106 J' e) one of the above. : _ 2a)} \—1_— 27’. In the context of the previous question, using a t—approximation and signﬁcance level a = .1, what is the appropriate critical value for the test H0 : p=0versusH1:p>0? musmmm ma] /ﬂ:%w:ﬂo M ibl b) It 1s 1n (.1,.2] t 3;, ,} £.d15h;laﬂqov\.‘\2bhlfv c) It is in (.2,.5] 4n.._,---/‘ cl) It is in (.5,1] J Wone of the above- 28. A sample of 18 observations selected from a normally distributed popula— tion produced a sample variance of 4.6. You want to test the null hypothesis that the population variance equals 2.2 versus the alternative that it does not. What is the value of the test statistic for this test about 02? H 1 a 7. o'- 0’ 1 ' x2: (“"3 51" “113 , a: : 'Hg , L3,: ozilﬂ; a” 1 0 5 if" L some “\ - _“___--—-—' S ,1 x (71'7“? E: 51/. ...
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