66. Determine he population mean is aferent trom 26 at the a001 level of signiticance. Complete parts (a) tvough (d) below Ci hevientestandad.nomastition ae n Cik here tovien he standard.nomal datristion ableon 2 (a) Determine the nu and atemative hypotheses Degre Freede (Type integers or decimals. Do not round)
66. Determine he population mean is aferent trom 26 at the a001 level of signiticance. Complete parts (a) tvough (d) below Ci hevientestandad.nomastition ae n Cik here tovien he standard.nomal datristion ableon 2 (a) Determine the nu and atemative hypotheses Degre Freede (Type integers or decimals. Do not round)
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
Transcribed Image Text:0.9986
--------- ------ ------
- p- - ..-...
s = 6.6. Determine if the population mean is different from 26 at the a = 0.01 level of significance. Complete parts (a) through (d) below.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
Click here to view the table of critical t-values,
Area in
right tail
...
(a) Determine the null and alternative hypotheses.
t-Distribution
Area in Right Tail
Họ:
Degrees of
Freedom
H,:
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
(Type integers or decimals. Do not round.)
1.000
0.816
1.376
1.061
0.978
1.963
1.386
1.250
1.190
1.156
3.078
1.886
1.638
6.314
2.920
2.353
2.132
2.015
12.706
4.303
3.182
2.776
2.571
15.894
4.849
3.482
2.999
2.757
31.821
6.965
4.541
3,747
3.365
63,657
9.925
127.32 1
14.089
7453
318.309
22.327
10.215
Z173
5,893
636.619
31.599
12.924
8.610
6.869
3.
4.
0.765
0.741
0.727
0.941
0.920
1.533
1.476
5.841
4.604
4.032
5.598
4.773
0.718
0.906
1.134
1.440
1.943
2.447
2.612
2.517
2.449
2.398
3.143
2.998
2.896
2.821
3.707
4.317
5.208
4.785
5.959
0.711
0.706
0.703
0.700
0,896
0.889
0.883
0.879
1.119
1.108
1.100
1.415
1.397
1.383
1.895
1.860
1.833
2.365
2.306
2.262
3.499
3.355
3.250
4.029
3.833
3.690
5.408
5.041
4.781
8
4.501
4.297
4.144
10
1.093
1.372
1.812
2.228
2.359
2.764
3.169
3.581
4.587
11
0.697
0.695
0.694
0.692
0.876
1.088
1.363
1.356
1.350
1.345
1.341
1.796
2.201
2.179
2.160
2.145
2.131
2.328
2.303
2.282
2.264
2.718
3.106
3.497
3.428
3372
3.326
3.286
4.025
4.437
12
13
14
15
0.873
0.870
0.868
0.866
1.083
1.079
1.076
1.074
1.782
1.771
1.761
1.753
2.681
2.650
2.624
3.055
3.012
2.977
2.947
3.930
3.852
3.787
3.733
4.318
4.221
4.140
0.691
2.249
2.602
4.073
2.235
2.224
2.214
2.205
2.197
2.921
2.898
0.865
0.863
0.862
0.861
0.860
1.337
1.333
2.120
2.110
2.101
2.093
2.086
2.583
2.567
2.552
2.539
2.528
3.252
3.222
3.197
3.174
3.153
3.686
3.646
3.610
3.579
4.015
3.965
3.922
3.883
3.850
16
17
0.690
0.689
0.688
1.071
1.069
1.746
1.740
1.067
1.066
1.064
1.330
1.328
1.325
1.734
1.729
1.725
2.878
2.861
2.845
18
19
20
0.688
0.687
3.52
21
22
23
0.859
0.858
1.063
1.061
1.060
1.323
1.321
1.319
1.318
1.316
1.721
1.717
2.080
2.074
2.189
2.183
2.518
2.508
2.831
2.819
2.807
2.797
2.787
3.135
3.119
3,527
3.819
3.792
0.686
0.686
0.685
0.685
0,684
3.505
0.858
0.857
0,856
1.714
1.711
1.708
2.069
2.064
2.060
2.177
2.172
2.167
2.500
2.492
2.485
3.104
3.091
3.078
3.485
3.467
3.450
3.768
3.745
3.725
24
1.059
1.058
26
27
28
29
0.684
0.684
0.683
0.856
0.855
0.855
0.854
0.854
1.058
1.057
1.056
1.315
1.314
1.313
1.706
1.703
1.701
1.609
1.697
2.056
2.052
2.048
2.162
2.158
2.154
2.150
2.479
2473
2.779
2771
3.067
3.057
3.047
3.038
3.435
3.421
3.408
3.707
3.690
3.674
3.659
3,646
2.467
2.763
0.683
0.683
1.055
1.055
1.311
1.310
2.045
2.042
2.462
2.457
2.756
2.750
3.396
3.385
30
2.147
3.030
0.853
0.853
0.853
2.744
2.738
2.733
2.728
2.724
3.633
3.622
3.611
3.601
3.591
1.054
1.309
1.309
1.308
1.307
31
0.682
0.682
0.682
0.682
0.682
1.696
1.694
2.040
2.037
2.035
2.032
2.030
2.144
2.141
2.138
2.136
2.453
2.449
2.445
2.441
2.438
3.022
3.015
3.008
3.002
3.375
3.365
3.356
3.348
1.054
32
33
34
1.053
0.852
0.852
1.052
1.052
1.692
1.691
1.690
35
1.306
2.133
2.996
3.340
0.852
0.851
0.851
0.851
0.851
2.434
2.431
2.429
2.426
2.423
3.582
3.574
3.566
3.558
2990
36
37
0.681
0.681
0.681
0.681
0.681
1.052
1.051
1.051
1.050
1.050
1.306
38
39
40
1.305
1.304
1.304
1.688
1.687
1.686
1.685
2.028
2.026
2.024
2.023
2.131
2.129
2.127
2.125
2.123
2.719
2.715
2.712
2.708
2.985
2.980
2.976
3.333
3.326
3.319
3.313
3.307
1.303
1.684
2.021
2.704
2.971
3.551
50
60
70
0.679
0.679
0.678
0.678
0.677
0.849
0.848
0.847
0.846
0.846
1.047
1.045
1.044
1.043
1.042
1.299
1.296
1.294
1.292
1.291
1.676
1.671
1.667
1.664
2.109
2.099
2.093
2.088
2.084
2.403
2.390
2.381
2.374
2.368
3.496
3.460
3.435
3.416
3.402
2.009
2.678
2.000
1.994
1.990
1.987
2.660
2.648
2.639
2.632
2.937
2.915
2.899
2.887
2.878
3.261
3.232
3.211
3.195
3.183
80
90
1.662
2.081
2.056
2.054
2.364
2.330
3.174
100
1000
0.677
0.675
0.674
0.845
0.842
0,842
1.042
1.037
1,036
1.290
1.282
1.282
1.660
1.646
1.645
1.984
1.962
2.626
2.581
2.871
2.813
3.390
3.300
3.098
1.960
2.326
2.576
2.807
3.090
3.291
Degrees of 0.25
Freedom
0.20
0.15
0.10
0,05
0.025
0.02
0.01
0.005
0.0025
0,001
0,0005
t-Distribution
Area in Right Tail
Standard normal distribution table (page 2)
Standard normal distribution table (page 1)
Area
Area
Standard Nomal Distribution
Standard Normal Distribution
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.00
0.01
0.02
0,03
0.04
0.05
0.06
0.07
0.08
0.09
0.5040
0.5438
0.5832
0.6217
0.6591
0.5120
05517
0.5910
0.6293
0.6664
0.5239
0.5636
0.6026
0.6406
0.6772
0.5279
0.5675
0.6064
0.6443
0.6808
0.7157
0.7486
0.7794
0.8078
0.8340
0.0
0.5000
0.5398
0.5793
0.6179
0.6554
0.5080
0.5478
0.5871
0.6255
0.6628
0.5160
0.5557
0.5948
0.6331
0.6700
0.5199
0.5596
0.5987
0.6368
0.6736
0.5319
0.5714
0.6103
0.6480
0.6844
0,5359
0.5753
0.6141
0.6517
0.6879
0.0003
0.0005
0.0007
0.0010
0,0013
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0008
0.0011
0.0003
0.0005
0.0007
0.0003
0.0005
0.0006
0.0003
0.0004
0.0006
0.0008
0.0012
0.0003
0.0004
0.0003
0.0004
0.0005
0.0008
0.0011
0.0002
0.0003
0.0005
0.0007
0.0010
0,0003
0.0004
-3.4
-33
-3,2
-3.1
-3.0
0.1
0.2
0.3
0.4
0.0006
0.0005
0.0008
0.0011
0.0009
0.0009
0.0013
0.0009
0.0007
0.0013
0.0012
0.0010
0.5
0.6
0.7
0.6915
0.7257
0.7580
0.7881
0.8159
0.6950
0.7291
0.7611
0.7910
0.8186
0.6985
0.7324
0.7642
0.7939
0,8212
0.7019
0.7357
0.7673
0.7967
0.8238
0.7054
0.7389
0.7704
0.7995
0.8264
0.7088
0.7422
0.7734
0 8023
0.7123
0.7454
0.7764
0.8051
0,8315
0.7190
0.7517
0.7823
0.7224
0.7549
0.7852
0,8133
0,8389
0.0019
0.0026
0.0035
0.0047
0.0062
0.0018
0.0025
0.0034
0.0045
0.0060
0.0018
0.0024
0.0033
0.0044
0.0059
0.0017
0.0023
0.0032
0,0043
0.0016
0.0023
0.0031
0.0041
0.0055
0.0016
0.0022
0.0030
0.0040
0.0054
0.0015
0.0021
0.0029
0.0015
0.0021
0.0028
0.0038
0.0051
0.0014
0.0020
0.0027
0.0037
0.0049
0.0014
0.0019
0.0026
0.0036
-29
-28
-2.7
0.8
0,8106
0.8365
-2.6
-2.5
0.0039
0.9
0,8289
0.0057
0.0052
0.0048
1.0
1.1
1.2
0.8413
0.8643
0.8849
0 9032
0.9192
0.8438
0.8665
0.8869
0,8461
0,8686
0.8888
0.8485
0.8708
0.8907
0.8508
0.8729
0.8925
0.8531
0.8749
0.8944
0.8554
0.8770
0.8962
0.9131
0.9279
0.8577
0.8790
0.8980
0.8599
0.8810
0.8997
09162
0,9306
0.8621
0.8830
0.90 15
0.0080
0.0104
0.0136
0.0174
0.0222
0.0075
0.0099
0.0129
0.0166
0.0212
0.0071
0.0094
0.0122
0.0158
0.0202
0.0068
0,0089
0.0116
0.0150
0.0192
0.0064
0.0084
0.0110
0.0143
0.0183
-24
0.0082
0.0107
0.0078
0,0102
0.0132
0.0170
0.0217
0.0073
0,0096
0.0069
0.0091
0.0119
0.0154
0.0197
23
-2.2
0.0066
0.0087
0.9049
0,9207
0.9082
0.9236
0.9099
0.9251
0.0139
0.0179
0.0228
0.0125
0.0162
0.0207
0.0113
0.0146
0.0188
0.9147
0.9292
0.9418
0.9525
1.3
1.4
0,9177
0,9319
0.9066
0.9115
0,9265
-2.1
-2.0
0.9222
1.5
1.6
1.7
0.9332
0.9452
0.9554
0.9345
0.9463
0.9564
0.9649
0,9719
0.9357
0.9474
0,9573
0.9656
0.9726
0.9370
0.9484
0.9582
0,9664
0.9732
0.9382
0.9495
0.9591
0.9671
0.9738
0,9394
0.9505
0.9599
0.9406
0.9515
0.9608
0.9429
0.9535
0.9625
0.9441
0.9545
0.9633
0.0287
0.0359
0.0446
0.0548
0,0668
0.0256
0.0322
0.0401
0.0495
0.0606
0.0250
0.0314
0.0392
0,0485
0.0594
0.0233
0.0294
0.0367
0.0455
0.0559
-1.9
-1.8
0.0281
0.0351
0.0436
0.0537
0.0655
0.0274
0.0344
0.0427
0.0268
0.0336
0.0418
0.0516
0.0630
0,0262
0.0329
0,0409
0.0505
0.0618
0.0244
0.0307
0.0384
0.0475
0.0582
0.0239
0.0301
0,0375
0.0465
0.0571
0.9616
-1.7
1.8
1.9
0,9641
0.9713
0.9678
0.9744
0,9686
0.9750
0.9693
0.9756
0.9699
0,9761
0.9706
0,9767
-1.6
-1.5
0.0526
0.0643
2.0
2.1
2.2
2.3
2.4
0.9772
0.9821
0.9861
0.9893
0.9918
0.9788
0.9834
0.9871
0.9901
0.9925
0.9778
0.9783
0.9830
0.9868
0,9898
0.9793
0.9838
0.9875
0.9904
0.9927
0.9798
0,9842
0.9878
0,9906
0.9929
0.9803
0.9846
0,9881
0.9812
0,9854
0.9887
0.9913
0.9934
0.9817
0.9857
0.9890
0.9808
0.0735
0.9826
0.9864
0,9896
0.9920
-14
-1.3
-1.2
-1.1
-1.0
0.0808
0.0968
0.1151
0.1357
0.1587
0.0793
0.0951
0.1131
0.1335
0.1562
0.0778
0.0024
0.1112
0.1314
0.1539
0.0764
0.0918
0.1093
0.1292
0.1515
0,0749
0.0901
0.1075
0.0721
0.0869
0.1038
0.0708
0.0853
0.1020
0.1210
0.1423
0.0604
0.0838
0.1003
0.1190
0.1401
0,0681
0.0823
0.0985
0.1170
0.1379
0.9850
0.0885
0.9884
0.9909
0.9931
0.9911
0.9932
0.9916
0.9936
0.1271
0.1492
0.1056
0.1251
0.1469
0.1230
0.1446
0.9922
2.5
2.6
2.7
0.9938
0.9953
0.9065
0.9940
0.9955
0.9966
0.9941
0.9956
0.9967
0,9976
0,9982
0.9943
0.9957
0.9968
0.9977
0.9945
0.9959
0.9969
0.9977
0.9984
0.9946
0,9960
0.9970
0.9978
0.9984
0.9948
0.9961
0.9971
0.9979
0.9085
0.9949
0.9962
0.9972
0.9079
0.9985
0.9951
0,9963
0.9973
0.9952
0,9964
0,9974
0.1814
0.2090
0,2389
0.2709
0.3050
0.1788
0.2061
0.2358
0.1762
0.2033
0.2327
0.2643
0.2981
0.1736
0,2005
0.2296
0.1635
0.1894
0,2177
0.2483
0.2810
0.1611
0.1867
02148
0.2451
0.2776
0.1711
0.1977
0.1685
-0.9
-08
0.1841
0,2119
0.2420
0.1660
0.1922
0.2206
0.1949
-0,7
-0,6
-0,5
0.2266
0.2578
0.2912
0,2236
0,9974
0.9981
0.9975
0,9982
0.2743
0.3085
0.2676
0.3015
0.2546
0.2877
0.2514
02843
0,9980
0.2611
2.8
2.9
0,9981
0,9986
0,2946
3.9983
0.9987
0,9000
0.9993
0.9995
0.9997
0.9990
0.9003
0.9995
0.9997
0.9998
0.3409
0.3783
0.4168
0.4562
0.4960
0.3336
0.3707
0.4090
0.4483
0.4880
0.3300
0.3669
0.4052
0.4443
0.3264
0.3632
0.4013
0.4404
0.4801
0.3192
0.3557
0,3936
0.4325
0.4721
0.3156
0,3520
0.3897
0.4286
0.4681
0.3446
3.0
3.1
3.2
0.9987
0.9001
0.9993
0.9987
0.9001
0.9994
0.9995
0.9997
-04
-0.3
-0.2
0.3372
0.3745
0.4129
0.4522
0.4920
0.3228
0.3594
0.3974
0.4364
0.4761
0.3121
0.3483
0.3859
0.9988
0.9988
0.9992
0.9994
0.9996
0.9997
0.9989
0.9989
0.9992
0.9994
0.9996
0.9997
0.9989
0.9992
0.9995
0.9996
0.9997
0.9990
0.9993
0.900
0.9994
0.9996
0.9997
0.3821
0.4207
0.4602
0.5000
0.0001
0.9994
0.9995
3.3
3.4
0.9995
0.9997
0.9996
0.9997
0.9996
0.9997
-0.1
-0.0
0.4247
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