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第 5 章 假设检验. 本章内容 5.1 假设检验的基本思想 5.2 总体标准差已知条件下均值双侧检验 5.3 案例研究:运输天数单侧检验 5.4 标准差未知时总体均值的假设检验 5.5 案例研究:顾客满意度假设检验 5.6 总体方差的假设检验. 下一页. 返回目录. 5.1 假设检验的基本思想. 5.1.1 假设检验的基本思想 5.1.2 假设检验的基本内容. 上一页. 下一页. 返回本章首页. 5.1.1 假设检验的基本思想. 1 .假设检验命题 例 某粮食加工厂的包装部门欲对其包装进行检测。 - PowerPoint PPT Presentation
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5 5.1 5.2 5.3 5.4 5.5 5.6
5.1.1 5.1.2 5.1
5.1.1 1 160.50 1015.43
HoHa16, Excel,15.43
215.43160.570.57160.50,0.575 .XLS
101160.5A210A2:J2K1K2A2J2=AVERAGE(A2:J2),
N1 ,O116L1L2ABS=ABS(K2-$O$1)K2O1 10
16Excel1000 11000K2L2K3:L1001KL16
3. 10000.570.5710000.57 0.5716
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Excel16
1000160.57160.51010000.570.571616
15.89160.1110000.110.400.11
5.1.2
1 HoHa2zt t
3a/2
4 z tPztPPa Ho
5
5.2
5.2.1 5.2.2 P 5.2.3
5.2.1
150.15014.9820.05
Ho=15 Ha15z15a=0.05
1.961.96P
5 .xlsz
B415B50.1E414.982E650B6=B3/SQRT(E3)0.014142B90.05E10z=(E2-B2)/B4-1.27279 zPz
5.2.2 P Pzz
ExcelNORMSDIST1.2729, NORMSDIST1.27279NORMSDIST1-1.27279
E9=2*NORMSDIST(-ABS(E10))0.203092 PP0.2030920.05B13
IFIF
logical-testE9B9 Value-if-trueValue-if-falseB13(15),(P)14.982:
15E414.95z()3.53553,P0.000407P
5.2.3
z NORMSINV
10 NORMSINV
NORMSINVProbabilityzzzProbabilityB9/2B10z-1.95996
B10=NORMSINV(B9/2)ABS=ABS(NORMSINV(B9/2))1.95996 Excel
B14ExcelIFIFLogical_testE10B10FALSEE101.27279,1.959961Value_if_true
Value_if_falseB13B14E414.98214.95-3.53553B13B14B4B5B9E4E5Excel
1200.01530120.010.01?
Ho=120, Ha120z3.651484P0.000261z2.575835
5.3 241.55024.490.01
Ho24 Ha24z24 a=0.01
2.33,2.0537Pa
5 .xlsz
B4B5E4E5B9241.524.9500.01E9=(NORMSDIST(-ABS(E10)))0.00000105025B10=ABS(NORMSINV(B9))2.33B13B1424245024
5.4 St $9350$935012$9323$800.05$9350
Ho=9350 Ha9350t9350a =0.05
11t2.201t2.201P,0.025
(1) 7 .xlst
B49350B580E49323E512B90.05B6E10t(2)tPtExcel
tTINVtTINVB10 TINVTINV
TINVtExcelt
ProbabilityB90.05Deg_freedomE5-111t2.20986273B10 PE9 TDISTTDIST
XE101.169 Deg_freedomE5-1 11Tails2 2 P0.267061E9
(3)B13=IF(E9B10,"","")B14
5.5
0.653152140.1
HO=0.65 Ha0.65z a=0.1
1.65,1.65P0.05
(1)7.xls
0.65Pi=214/315=0.6794PB40.65
B90.1 E4=214/315 E5n315 B5
=SQRT((B4*(1-B4))/E5)B50.026874
E10
=ABS((E4-B4)/B5) z1.092687(2)NORMSINVzB10=ABS(NORMSINV(B9/2))1.95995
(3)PE9=2*(NORMSDIST(-ABS(E10)))0.274531 (4)B13=IF(E9B10,"","")B14
5.6.1 5.6.2 5.6.3 ()5.6
5.6.1
11- a a
P
2 (1)HoHa
(2) ~ (n-1) Ho n-1
(3)(4) Ha(5)
5.6.2
641.6501.90.051.6
Ho1.6Ha>1.6 S1.91.6
(1) 7 .xls
B4()1.6B51.9B650B90.05 (2) P E9=(B5^2*(B6-1))/B4^2 E9 69.09766
E10CHIDISTCHIDIST
XE9Deg_freedomB6-1P0.030749
B10CHIINVCHIINV
ProbabilityB90.05Deg_freedomB6-1 66.33865B10(3)IFB16
IFIF
66.33865 69.0976666.33865 1.60
5.6.3 () 0.05 1.60?
Ho=1.6 Ha1.6.
5 .xlsE11=2*E10E10B18IF(E110.05
0.05cL2 cR2 0.05CHINV (cR2)0.025 cL21 (1-0.025=0.975)
B12=CHIINV(B9/2,B6-1)cR2 70.22236B13=CHIINV(1-B9/2,B6-1) cL2 31.5549369.0976