Q2_Math308_608

# Q2_Math308_608 - Quiz 2 Math 308/608 January 29 1 Consider...

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Unformatted text preview: Quiz 2 Math 308/608, January 29 1. Consider a. population consisting of N = 3 values: —2, O, 2. The sample of size n = 2 is drawn from the population. Calculate the sampling distribution of the mean, its mean ELY), and its variance V0.11?) if a. the sample is drawn without replacement. b. the sample is drawn with replacement. 2. Consider a population consisting of N values. The sample of size n is drawn from the population. Show that a. . 2 W l Var-(J?) z t; if it is drawn Wt replacement. b. 2 Vere?) = :~(1~ 3%) if it is drawn without replacement. Hint: For simple random sampling without replacement, for :7 aé j CW(X1,XJ) = — N QUCLE Mq’rk 508/608] ganmuﬂ/ 2‘? A/=2> VQIUQS! —2/91 60115.95 @3leer ﬁx“) (—2 03 7:4 P(3?=—I) :55 J (- 2’2) i=0 Pai=o>cg . 3,. K (o )2.) 36:1 Pki=0=b —, o : / d :- E(7<)'( 1)P(;<=‘)+O'P(X‘°)+f ka=Iy=i(—1+o+\) o _ _ L — 1 ti : Vax<7<)=(*I*O)ZPkY-~I)+(ow) P<><=o)+u—o> PW ) I (‘9 b) Ki!) {1'9‘Qctmen4 ‘- - 'I/ (~2 ~2) 7(=-—z POW-23m; (1:07 33:" ﬂit-0:31 ('2, 2') it") 0):: /q __ ‘:..{ a Z (0)02) gco P(X=‘\*/q (o, ) 11 Pm: 2):? (o, 7,) X q (2 "2) X: 0 Amiga) " d x (2/ X11 I“ If: I “129 H :21. o . L K -"' 1'. ‘ . i .a— t»... - ‘2 E'_5‘+1*Z+2 *0 ax) qL2+QU +0 L: 14/ Vang): ('1' (41- f-Z+ 6.5+- |-2+4)=§g§+lc) '2: —O (1) NHL. {QP\0\C€,Mtﬁ+ mﬂ L 1. G i I . : —-* : =LJEVWKXKH1:RV“6 1 h (3‘ S/fnlk Cm/KXK-l :3 LL K ‘ x‘ ( ( +kgex e/fvncrﬁ‘ \‘r S \DcHer +° Pt RDW'R’HQW3V gplmtemcﬁ+~ 1c Back 3m Pablemig We. caudci Ul-S'Q VCR/(2): N“! 6"”: (\$409+ (03:0)1+ K? -°>L = 86 Rﬂﬁ mines ant Let/L . Tkm 0x) WH’L\0M+ /e.plc1ce,men+ 8 _.. Z3 — 8/3 .— gi :2. —- - 1 : 2/ VO\((X):"2:U a)" z a .3 /‘ SOW'IP’L 5‘1"}: \ P§Pq|cd~lm 5:51 W - M b) WHR (Qflcice nan-F -8/5 4 VQWKR>~F= é Sampk Silk n ...
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## This note was uploaded on 06/12/2010 for the course MATH 308 taught by Professor Lacey during the Spring '10 term at Tulane.

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Q2_Math308_608 - Quiz 2 Math 308/608 January 29 1 Consider...

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