If you use a 0.05 level of significance in a two-tail hypothesis test, what decision will you make if ZSTAT=−1.52? Determine the decision rule.
If you use a 0.05 level of significance in a two-tail hypothesis test, what decision will you make if ZSTAT=−1.52? Determine the decision rule.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
If you use a 0.05 level of significance in a two-tail hypothesis test, what decision will you make if ZSTAT=−1.52?
Determine the decision rule.

Transcribed Image Text:1
Cumulative Probablities
2 z
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
3
-6
1E-09
4
-5.5
1.9E-08
5
-4.5
3.398E-06
6
-4
3.167E-05
7
-3.9
0.00005
0.00005
0.00004
0.00004
0.00004
0.00004
0.00004
0.00004
0.00003
0.00003
0.00007
0.00005
0.00007
|
0.00006
0.0001|
8
-3.8
0.00007
0.00006
0.00006
0.00006
0.00005
0.00005
9
-3.7
0.00011
0.0001
0.0001
0.00009
0.00009
0.00008
0.00008
0.00008
0.00008
0.00015
0.00022
10
-3.6
0.00016
0.00015
0.00014
0.00014
0.00013
0.00013
0.00012
0.00012
0.00011
11
-3.5
0.00023
0.00022
0.00021
0.0002
0.00019
0.00019
0.00018
0.00017
0.00017
12
-3.4
0.00034
0.00032
0.00031
0.0003
0.00029
0.00028
0.00027
0.00026
0.00025
0.00024
13
-3.3
0.00048
0.00047
0.00045
0.00043
0.00042
0.0004
0.00039
0.00038
0.00036
0.00035
14
-3.2
0.00069
0.00066
0.00064
0.00062
0.0006
0.00058
0.00056
0.00054
0.00052
0.0005
15
-3.1
0.00097
0.00094
0.0009
0.00087
0.00084
0.00082
0.00079
0.00076
0.00074
0.00071
16
-3
0.00135
0.00131
0.00126
0.00122
0.00118
0.00114
0.00111
0.00107
0.00103
0.001
17
-2.9
0.0019
0.0018
0.0018
0.0017
0.0016
0.0016
0.0015
0.0015
0.0014
0.0014
18
-2.8
0.0026
0.0025
0.0024
0.0023
0.0023
0.0022
0.0021
0.0021
0.002
0.0019
0.0035
0.0047
0.0034
0.0045
0.0031
0.0027
0.0037
19
-2.7
0.0033
0.0032
0.003
0.0029
0.0028
0.0026
20
-2.6
0.0044
0.0043
0.0042
0.004|
0.0039
0.0038
0.0036
0.006
0.0049
0.0066
21
-2.5
0.0062
0.0059
0.0057
0.0055
0.0054
0.0052
0.0051
0.0048
22
-2.4
0.0082
0.008
0.0078
0.0075
0.0073
0.0071
0.0069
0.0068
0.0064
0.0104
0.0099
0.0091
0.0119
23
-2.3
0.0107
0.0102
0.0096
0.0094
0.0089
0.0087
0.0084
24
-2.2
0.0139
0.0136
0.0132
0.0129
0.0125
0.0122
0.0116
0.0113
0.011
25
-2.1
0.0179
0.0174
0.017
0.0166
0.0162
0.0158
0.0154
0.015
0.0146
0.0143
0.0228
0.0287
26
-2
0.0222
0.0217
0.0212
0.0207
0.0202
0.0197
0.0192
0.0188
0.0183
0.0268
0.0336
0.0418
0.0516
27
-1.9
0.0281
0.0274
0.0262
0.0256
0.025
0.0244
0.0239
0.0233
0.0359
0.0446
28
-1.8
0.0351
0.0344
0.0329
0.0322
0.0314
0.0307
0.0301
0.0294
29
-1.7
0.0436
0.0427
0.0409
0.0401
0.0392
0.0384
0.0375
0.0367
30
-1.6
0.0548
0.0537
0.0526
0.0505
0.0495
0.0485
0.0475
0.0465
0.0455
0.0668
0.0808
31
-1.5
0.0655
0.0643
0.063
0.0618
0.0606
0.0594
0.0582
0.0571
0.0559
32
-1.4
0.0793
0.0778
0.0764
0.0749
0.0735
0.0721
0.0708
0.0694
0.0681
33
-1.3
0.0968
0.0951
0.0934
0.0918
0.0901
0.0885
0.0869
0.0853
0.0838
0.0823
34
-1.2
0.1151
0.1131
0.1112
0.1093
0.1075
0.1056
0.1038
0.102
0.1003
0.0985
35
-1.1
0.1357
0.1335
0.1314
0.1292
0.1271
0.1251
0.123
0.121
0.119
0.117
36
-1
0.1587
0.1562
0.1539
0.1515
0.1492
0.1469
0.1446
0.1423
0.1401
0.1379
37
-0.9
0.1841
0.1814
0.1788
0.1762
0.1736
0.1711
0.1685
0.166
0.1635
0.1611
38
-0.8
0.2119
0.209
0.2061
0.2033
0.2005
0.1977
0.1949
0.1922
0.1894
0.1867
39
-0.7
0.242
0.2388
0.2358
0.2327
0.2296
0.2266
0.2236
0.2206
0.2177
0.2148
40
-0.6
0.2743
0.2709
0.2676
0.2643
0.2611
0.2578
0.2546
0.2514
0.2482
0.2451
41
-0.5
0.3085
0.305
0.3015
0.2981
0.2946
0.2912
0.2877
0.2843
0.281
0.2776
42
-0.4
0.3446
0.3409
0.3372
0.3336
0.33
0.3264
0.3228
0.3192
0.3156
0.3121
43
-0.3
0.3821
0.3783
0.3745
0.3707
0.3669
0.3632
0.3594
0.3557
0.352
0.3483
0.3897
0.4286
44
-0.2
0.4207
0.4168
0.4129
0.409
0.4052
0.4013
0.3974
0.3936
0.3859
45
-0.1
0.4602
0.4562
0.4522
0.4483
0.4443
0.4404
0.4364
0.4325
0.4247
46
0.5
0.496
0.492
0.488
0.484
0.4801
0.4761
0.4721
0.4681
0.4641
47
48
49

Transcribed Image Text:1
Cumulative Probablities
2 z
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
3
0.5
0.504
0.508
0.512
0.516
0.5199
0.5239
0.5279
0.5319
0.5359
4
0.1
0.5398
0.5438
0.5478
0.5517
0.5557
0.5596
0.5636
0.5675
0.5714
0.5753
0.2
0.5793
0.5832
0.5871
0.591
0.5948
0.5987
0.6026
0.6064
0.6103
0,6141
6
0.3
0.6179
0.6217
0.6255
0.6293
0.6331
0.6368
0.6406
0.6443
0,648
0.6517
0.6554
0.6879
0.6736
0.7088
0.4
0.6591
0.6628
0.6664
0.67
0.6772
0.6808
0.6844
0.5
0.6915
0.695
0.6985
0.7019
0.7054
0.7123
0.7157
0.719
0.7224
0.6
0.7257
0.7291
0.7324
0.7357
0.7389
0.7422
0.7454
0.7486
0.7518
0.7549
0.7794
0.8078
10
0.7
0.758
0.7612
0.7642
0.7673
0.7704
0.7734
0.7764
0.7823
0.7852
11
0.8
0.7881
0.791
0.7939
0.7967
0.7995
0.8023
0.8051
0.8106
0.8133
12
0.9
0.8159
0.8186
0.8212
0.8238
0.8264
0.8289
0.8315
0.834
0.8365
0.8389
13
1
0.8413
0.8438
0.8461
0.8485
0.8508
0.8531
0.8554
0.8577
0.8599
0.8621
14
1.1
0.8643
0.8665
0.8686
0.8708
0.8729
0.8749
0.877
0.879
0.881
0.883
15
1.2
0.8849
0.8869
0.8888
0.8907
0.8925
0.8944
0.8962
0.898
0.8997
0.9015
16
1.3
0.9032
0.9049
0.9066
0.9082
0.9099
0.9115
0.9131
0.9147
0.9162
0.9177
17
1.4
0.9192
0.9207
0.9222
0.9236
0.9251
0.9265
0.9279
0.9292
0.9306
0.9319
18
1.5
0.9332
0.9345
0.9357
0.937
0.9382
0.9394
0.9406
0.9418
0.9429
0.9441
19
1.6
0.9452
0.9463
0.9474
0.9484
0.9495
0.9505
0.9515
0.9525
0.9535
0.9545
0.9554
0.9641
20
1.7
0.9564
0.9573
0.9582
0.9591
0.9599
0.9608
0.9616
0.9625
0.9633
0.9664
0.9706
0.9767
21
1.8
0.9649
0.9656
0.9671
0.9678
0.9686
0.9693
0.9699
0.9726
0.9761
0.9812
0.9854
22
1.9
0.9713
0.9719
0.9732
0.9738
0.9744
0.975
0.9756
23
2
0.9772
0.9778
0.9783
0.9788
0.9793
0.9798
0.9803
0.9808
0.9817
24
2.1
0.9821
0.9826
0.983
0.9834
0.9838
0.9842
0.9846
0.985
0.9857
0.9878
0.9906
25
2.2
0.9861
0.9864
0.9868
0.9871
0.9875
0.9881
0.9884
0.9887
0.989
26
2.3
0.9893
0.9896
0.9898
0.9901
0.9904
0.9909
0.9911
0.9913
0.9916
27
2.4
0.9918
0.992
0.9922
0.9925
0.9927
0.9929
0.9931
0.9932
0.9934
0.9936
28
2.5
0.9938
0.994
0.9941
0.9943
0,9945
0.9946
0.9948
0.9949
0.9951
0.9952
29
2.6
0.9953
0.9955
0.9956
0.9957
0.9959
0.996
0.9961
0.9962
0.9963
0.9964
30
2.7
0.9965
0.9966
0.9967
0.9968
0.9969
0.997
0.9971
0.9972
0.9973
0.9974
31
2.8
0.9974
0.9975
0.9976
0.9977
0.9977
0.9978
0.9979
0.9979
0.998
0.9981
32
2.9
0.9981
0.9982
0.9982
0.9983
0.9984
0.9984
0.9985
0.9985
0.9986
0,9986
33
3
0.99865
0.99869
0.99874
0.99878
0.99882
0.99886
0.99889
0.99893
0.99897
0.999
34
3.1
0.99903
0.99906
0.9991
0.99913
0.99916
0.99918
0.99921
0.99924
0.99926
0.99929
35
3.2
0.99931
0.99934
0.99936
0.99938
0.9994
0.99942
0.99944
0.99946
0.99948
0.9995
36
3.3
0.99952
0.99953
0.99955
0.99957
0.99958
0.9996
0.99961
0.99962
0.99964
0.99965
37
3.4
0.99966
0.99968
0.99969
0.9997
0.99971
0.99972
0.99973
0.99974
0.99975
0.99976
0.99977
0.99984
0.99978
0.99979
0.99986
38
3.5
0.99978
0.9998
0.99981
0.99981
0.99982
0.99983
0.99983
39
3.6
0.99985
0.99985
0.99986
0.99987
0.99987
0.99988
0.99988
0.99989
40
3.7
0.99989
0.9999
0.9999
0.9999
0.99991
0.99991
0.99992
0.99992
0.99992
0.99992
41
3.8
0.99993
0.99993
0.99993
0.99994
0.99994
0.99994
0.99994
0.99995
0.99995
0.99995
42
3.9
0.99995
0.99995
0.99996
0.99996
0.99996
0.99996
0.99996
0.99996
0.99997
0.99997
43
4 0.9999683
44
4.5 0.9999966
45
5 0.9999997
46
5.5
1
47
1
48
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