2023年湖师数理统计题库习题六

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2,…,25᝱N(஻,9)ᐸ஻ᦪ,F᪵ᙳ!"⚪”0'஻=஻o஻|'M)!Ḅ-./'C={(X]…஽5)'|567>c},;<=>ᦪc?!Ḅ@℉ឋCD0.05.F:ᵫI஺~N(஻,9),ᡠMJ~N(஻O)ᙠH஺ᡂSTP(|^-//|>C)=P^|f^-|>|c=21—[]=0.05,00জ(10)=0.975,1c=1.96,ᡠMC=1.I76.2.
᪵©…,a,)᝱N(஻,b),cd!Ꮇ
“0:஻=஻o,H\:H>஻()Ḅ"⚪gh/C={(X]…x“)'ᐗ2Co}.(i)lm!no6p┯rḄᭆ᳛a,novp┯rḄᭆ᳛wxyz{|}~Ḅᐵ.(ii)
஻0=0.5,q=0.04,a=0.05,஻=9,l஻=0.65novp┯rḄᭆ᳛.F:প.ᙠH஺ᡂSTF~N(4°,naIb஺ao)C0=—F=U_+஻oxab஺7nᐸ஻1_aN(0,1)ᑖḄl-aᑖ஺

12ᙠHiᡂST,"N=nb஺ஹ'cr0"l-a+஻06஻/ஹজ&N6=(D7ns/n=w.l-a[4>জ5)?7aa஻cw}a஺¡᜛஺(ii)novp┯rḄᭆ᳛1-4஺,_,,(z/-z/ᔆ¥,,(0.65-0.5¦0I0-())k02)=1-জ(1.M5-2.25)=1-জ(-0.605)=জ(0.605)=0.7274.4,
¨©ªᢣ᪗᝱ᑖ{Ḅ᪷¯°a±150²³ᵫ6ᢇ©ªµ¶ᙢ¸!26¹º»ᢣ᪗ḄDᙳ1637²"ᙠ5%Ḅ@℉ឋCDT¾ᔲÀÁᢇ©ªḄᢣ᪗1600²ÂF'J~N(஻,15()2),Ꮇ
“o'4=1600ÃᵨU6!ÆᙠHoÇT!ÈÉÊ˺஻=ÌvÍc=1.2578,a=0.05gah4%—UQ975=L96஺ᵫI,ᡠMÐÑ“()ᓽ¾ᔲÀÁᢇ©ªᢣ᪗1600²

25¨ᵯᘤÕÖḄDᙳᵯ×6ØÙᢝᙠ2.64஺ᙳ¯°Ùᢝᙠ0.06Q.ᦋÝÞßßàáºḄ100¹ÕÖᐸDᙳᵯ×2.62Q,ᙳ¯°Ý."âßàmÕÖḄᵯ×ᨵä@℉°å?@℉ឋCD஺=0.01஺F'
ᦋÝßàáᵯᘤÕÖᵯ×µ¶ÝÊJ,ᑣ=஻£>^=0.062èQ2é«!Ꮇ
"o'஻=2.M஺ëÊ100᪵Fìí᝱ᑖᓽ'g~N஻ï2஺I100JðcᎷ
“°ñÃᵨu—!óô!ÈÉÊ˺¦õÞ733a—0.01,^\~a/~"o995=2.10஺ᵫI|M|=3.33>஻1/°ᡠM-.öᎷ
“°ᓽᦋ☩ßàáÕÖḄᵯ×6ᨵ@℉°å஺6.ᨵ6øâùḨᑺüýᙠ6=ᑺÊT¾þ¨øÿᨩ᧣ḨᑺᙳṑḨ3᪷ᧇᵨḨᑺᙳṑḨ20.8ᙳ1.8!"ḨᑺḄ$%&'ᔲ)Ḅᦈ+ᑮ-.ᵨ"ḨᑺḄṑḨ/0ᓫ23426.7,22.0,24.1,21.0,27.2,25.0,23.4;<$=ᦪ?ᔲ%@"ḨᑺABᡂ"ḄᶭᦔFG4H"ḨᑺᶭᦔIJKLJᑣ=஻QRD^=1.8\!ᎷH"o4஻=20.8,”]4஻>20.8_1Q\]^_`aL7b᪵Fefg\h᝱ᑖkᓽ44~N஻o2

3pq)ᎷH”0rsᵨU—!vw!xyLz{|஻}=21.3420.85=0.3~,a1.8b=0.05,u_="/395—1-645oᵫ=0.3-\/7

4È(஻-l),r°1)=É975(24)=2.06ᦑ஻1--2:1212(170-x2.06,170+x2,06)=(170494,170+4,94)=(165.06,174.94)V25V25ফ.CT?Ḅ(஻QR)`u=("*È/(஻_1),/2a5_1)=/975(24)=39.364CT1—u2Ì5-1)=ÍÎ(24)=12.401274xI?2?4xI?2ᦑ/Ḅ0.95(--------,--------)x(87.80,278.69)39.36412.401o-Ḅ0.95(j87.80,j278.69)“(9.34,16.69).14.ᙠ{LÒ᧜_-ÔᳮÖ×ØvḄ᪗¾0.05Ù095%ḄÛ.Ü)ᙳÒ᧜ḄØvÝÞßà0.01Ùá`âᜧḄ᪵aLn?G40X⊤BÒ᧜ᑣ஻=E(X)ᙳÒ᧜ᵫᩩçR᪵᪗¾S=0.05,ᵨ᪵ᙳ|XØvènᐙêᜧxyLU=ëoefg%\᪗¾h᝱ᑖkN(0,1),᪷ᩩçìí᪵aLîêP-“<0.01}=Px-/d<0.01Vn"0.95.ᓽo.oy-o.o5/yin

50.95,.-.—஺1.645nn஺9.82=96.045ᓽá`᪵aLn96ᡈ97c8.ᙠóôÖ¶_õ{9´ö÷óᡂø¹᪵ᙳ|X=4.38m,ᎷHö÷øXg\h᝱ᑖkúb=03,<'ᔲrû¿óôÖ¶ö÷ᙳᡂø஻=4.40m(a=0.10).G4(1)4o:஻=4.40HஹR4.4X—4.40üTT(2)⌱xyLU=------/----N(0,1);ý(3)!᪗¾h᝱ᑖk⊤¹þÿ
஻&=Z°95=L64,1----2(-00,-1.64)u(1.64,+oo);|4.38-4.401(4),J~~1=0.2,"ᯠ0.2$ᙠᑁ'()Ho+,-'./ᓽ0123456789:ᙳᡂ=24.40>஺9.@ABὃDḄὃ7ᡂ=FGH᝱ᑖK'GLMNᙢPQ36Rὃ7Ḅᡂ=':ᙳᡂ=266.5ᑖ'᪗TUS*215ᑖ'Xᙠ"℉Z:0.05['\ᔲ012^BὃDᐰ`ὃ7Ḅ:ᙳᡂ=270ᑖbcdefghi஺

6ᐭ(஻ߟ1)=575(35)=2஺301I-2mn(1)ofᎷ@"0n஻=70rᜓtᎷ@“1n஻W70(3)ᙠ"℉ឋZ:0.05['gtᑖK⊤'ze{
tஹa("-l)=%975(35)=2.03011-----2(-oo,-2.0301)u(2.0301,-fw)166.5-701/\(4)U=———7-----=1.4e(—2.0301,2.0301),ᦑ,-H0.,(/)012^BὃDᐰ`ὃ7Ḅ:ᙳᡂ=270ᑖ஺11.Aᔆ7Ḅᵯ⊤ḄFGH᝱ᑖK'ᐸ᪗TU2஺=1.6,ᦋᗐ'GḄPe9':ᙳG=52.8,S\2=1.19'Xᵨ⊤ḄU\ᔲ7ᓄb(Q"℉ឋZ:a=0.05)mn()ofᎷ@"0=1.62,ᜓtᎷ@¡1.6?ফ⌱Q¥¦§U=H஺ᡂ¨©…%~(3)g/ᑖK⊤'ze{
Za(n-1)=¬)25(8)=2.180,/a(n-1)=975®=17.535.-1-222¯0,2.180°1°¯17.535,ᱥ°.

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¯3°ᵫa=0.05,n—1=9,gÍ2ᑖK⊤Z,t(n-l)=Zo,95(9)=16.919(4)ᐗ=!(42+65+75+78+71+59+57+68+54+55)=62.4஺Î2110ᔆÏ9sr2=121.8vZ=19x^1-813.7e(0,16.919)=U஺ᦑ,-Ꮇ@Ho,ᓽᙠa=0.05['012᦮ᢇ¸◅ºḄᰚ¿©ÀḄU$ᜧÅ80.10.A᪥GÒÓÔÕ`Ö×ØḄᵱ7LMNᙢ⌱e50Ú':ᙳÛÜ174.34ᔖ>G$ÒÓÔÕ`Ö×ØḄᵱ7LMNᙢ⌱50Ú':ᙳÛ172.42ᔖ>'¥¦Þᧇ⊤àáâᵱ7ḄÛÜãFGH᝱ᑖK'ᐸ᪗TUᑖä25.35å6.11ᔖ>'X3᪥ÒÓÔÕ×ØḄᵱ7\ᔲæ$ÓÔÕ`Ö×ØḄᵱ7:ᙳÛÜçb=0.05°mnX,Yᑖä⊤Ó×Øå$Ó×Øᵱ7ḄÛÜ'ᵫ⚪@X~N3,5.352)ì~N(஻2,6112)

8(1)ofᎷ@”0n4V'ᜓtᎷ@//,nA>4ফ⌱Q¥¦§U=N(0,l)(3)ñÅa=0.05gH᝱ᑖK⊤'Z[_a=Z()95=1.64174.34-172.42(4)U0=1.67>1.6415.35261V50+50ᦑᔲ1Ꮇ@Hoᓽ⊤àÒÓ`Ö×ØḄᵱ7:ᙳÛÜæ$ÒÓ`Ö×ØḄᵱ7:ᙳÛÜÜç஺7.14Ꮇ@ôõ᦮ᦪ1,2,3,4,5,6+MNᙢ⌱t'÷ø60Bù¨¼½Leú1,2,3,4,5,6ḄBᦪᑖä213,19,11,8,5,4஺Xᙠ5%Ḅ"℉ឋZ:[\ᔲ012[ᑡᎷ@ᡂ¨n“0nP(4=1)=Pយ=2)=…=p(g=6)=n஺O
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CᵯB3.83.94.04.14.24.34.44.54.64.74.8KL⚣ᦪ11127884641C9ᵯ>ὊBᦪMOᑖ᪆'ᵨᭆ᳛RSTUZ2-ᔠV஺
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012345678910⚣ᦪ0241022261812420ᙠ℉¢£a=0.05Nᵨ/ᔠTKᡠ]^Ḅᑖ_஺9¤☰ᡭFGcᡈ8c¥ᵨ¦§ᑖ_¨©ª9☰

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