MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A broker believes that the average price of two bonds (Bond A and Bond B) are equal. The broker does not know the population standard deviation of the two securities. The following information outlines the information for each sample:
Stock A Stock B
n1=8 n2=13
X1=$86 X2=$94
s1=$4 s2=$12
If you count on the population variances not being equal. Test the broker's claim at the .01 level. Also, test to see whether the population variances are equal or not equal at the 0.05 level.
Transcribed Image Text:alues of t for Selected
df = 10
Probabilities
0.05
0.05
t=-1.8125
t= 1.8125
Probabilites (Or Areas Under t-Distribution Curve)
Conf. Level
One Tail
Two Tails
0.1
0.3
0.5
0.7
0.8
0.9
0.95
0.98
0.99
0.05
0.1
0,005
0.01
0.45
0.35
0.15
0.1
0.025
0.05
0.25
0.01
0.9
0.7
0.5
0.3
0.2
0.02
d.f.
Values of t
1.0000
0.8165
0.5095
63.6559
3.0777
1.8856
6.3137
1.9626
1.3862
1.2498
1.1896
1.1558
12.7062
4.3027
3.1824
0.1584
31.8210
0.4447
0.4242
6.9645
4.5407
3.7469
0.1421
2.9200
9.9250
0.7649
5.8408
1.6377
1.5332
2.3534
2.1318
0.1366
2.7765
2.5706
2.4469
4
0.1338
0.4142
0.7407
4.6041
0.1322
0.4082
0.7267
1.4759
2.0150
3.3649
4.0321
3.1427
2.9979
2.8965
2.8214
2.7638
2.7181
3.7074
3.4995
6.
0.4043
0.4015
0.7176
1.1342
1.9432
0.1311
0.1303
1.4398
1.8946
1.8595
1.8331
1.8125
7
0.7111
1.1192
1.4149
2.3646
0.7064
0.7027
1.3968
1.3830
1.3722
3.3554
0.1297
0.1293
8
0.3995
1.1081
2.3060
3.2498
3.1693
3.1058
3.0545
3.0123
1.0997
0.3979
0.3966
0.3956
9
2.2622
10
0.1289
0.6998
1.0931
2.2281
1.3634
1.3562
1.7959
1.7823
0.6974
1.0877
1.0832
11
0.1286
2.2010
0.3947
2.1788
2.1604
0.6955
2.6810
0.1283
0.1281
12
1.7709
0.6938
0.6924
0.6912
2.6503
2.6245
13
0.3940
1.0795
1.3502
1.7613
1.7531
1.7459
1.7396
1.7341
1.7291
1.7247
1.7207
0.3933
0.3928
0.3923
0.3919
2.9768
1.0763
1.0735
1.0711
1.0690
1.3450
2.1448
0.1280
0.1278
14
2.9467
2.9208
2.8982
15
1,3406
2.1315
2.6025
1,3368
1.3334
16
0.1277
0.6901
2.1199
2.5835
0.6892
0.6884
2.5669
2.5524
2.5395
17
0.1276
2,1098
1.0672
1.0655
1.0640
1.3304
2.1009
2.8784
18
19
0.1274
0.3915
0.1274
0.1273
1.3277
1.3253
2.0930
2.0860
2.8609
2.8453
0.3912
0.6876
2.5280
2.5176
0.6870
0.3909
0.3906
20
21
0.1272
0.6864
1.0627
1.3232
2.0796
2.8314
2.5083
2.4999
2.4922
0.3904
1.3212
1.7171
1.7139
2.0739
2.0687
2.0639
2.8188
0.6858
0.6853
0.6848
0.6844
22
0.1271
1.0614
2.8073
2.7970
1.0603
1.0593
1.0584
1.0575
1.0567
23
0.1271
0.3902
1.3195
1.3178
1.3163
1.7109
1.7081
1.7056
24
0.1270
0.3900
0.1269
2.4851
2.7874
0.3898
0.3896
25
2.0595
2.7787
2.7707
26
0.1269
0.6840
1.3150
2.0555
2.4786
1.7033
1.7011
27
0.1268
0.3894
0.6837
1.3137
2.0518
2.4727
1,3125
2.4671
2.4620
2.4573
2.0484
2.7633
0.6834
0.6830
28
0.1268
0.3893
1.0560
0.1268
0.1267
2.7564
2.7500
29
0.3892
1.0553
1.3114
1.6991
2.0452
1.3104
2.0423
0.6828
0.6807
30
0.3890
1.0547
1.6973
2.7045
2.0211
2.0086
2.0003
40
0.1265
0.3881
1.0500
1.3031
1.6839
2.4233
2.4033
2.3901
2.6778
2.6603
0.6794
1.0473
1.0455
1.2987
1.6759
1.6706
1.6669
1.6641
0.3875
0.3872
50
0.1263
1.2958
0.6786
0.6780
60
0.1262
2.3808
2.3739
2.3685
1.2938
1.9944
2.6479
1.0442
1.0432
70
0.1261
0.3869
1.2922
2.6387
0.3867
0.3866
80
0.1261
0.6776
1.9901
1.0424
1.0418
1.0386
1.0375
0.6772
1.2910
1.6620
1.9867
2.6316
0.1260
0.1260
90
1.2901
2.3642
2.6259
0.3864
0.3858
0.6770
1.6602
1.9840
100
250
0.1258
0.6755
1.2849
1.6510
1.9695
2.3414
2.5956
500
0.1257
0.3855
0.6750
1.2832
1.6479
1.9647
2.3338
2.5857
See Normal Distribution
Transcribed Image Text:Standard Normal
Distribution Table
0,3944
z= 1.25
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.0160
0.0199
0.0239
0.0279
0.0319
0.0359
0.0000
0.0398
0.0
0.0040
0.0080
0.0120
0.0636
0.1026
0.0714
0.1103
0.1
0.0438
0.0478
0.0517
0.0557
0.0596
0.0675
0.0753
0.0948
0.1064
0.1141
0.0987
0.1368
0.2
0.0793
0.0832
0.0871
0.0910
0.1406
0.1443
0.1480
0.1517
0.1293
0.1664
0.1255
0.1331
0.1179
0.1554
0.3
0.1217
0.4
0.1591
0.1628
0.1700
0.1736
0.1772
0.1808
0.1844
0.1879
0.2224
0.2157
0.2486
0.2794
0.2190
0.2088
0.2422
0.5
0.1915
0.1950
0.1985
0.2019
0.2054
0.2123
0.2454·
0.2517
0.2549
0.2357
0.2673
0.6
0.2257
0.2291
0.2324
0.2389
0.7
0.2580
0.2611
0.2642
0.2704
0.2734
0.2764
0.2823
0.2852
0.3133
0.3389
0.8
0.2881
0.2910
0.2939
0.2967
0.2995
0.3023
0.3051
0.3078
0.3106
0.3315
0.3340
0.3365
0.3264
0.3508
0.9
0.3159
0.3186
0.3212
0.3238
0.3289
0.3621
0.3577
0.3790
0.3599
0.3554
0.3770
0.3461
0.3485
0.3531
0.3438
0.3665
1.0
0.3413
1.1
0.3643
0.3686
0.3708
0.3729
0.3749
0.3810
0.3830
12
0.3869
0.4049
0.3907
0.3925
0,3944
0.3962
0.3980
0.3997
0.4015
0.3849
0.3888
0.4177
0.4147
0.4292
0.4066
0.4082
0.4099
0.4115
0.4131
0.4162
0.4032
0.4192
1.3
0.4306
0.4429
0.4319
0.4279
0.4406
0.4265
0.4251
0.4382
1.4
0.4207
0.4222
0.4236
0.4418
0.4525
0.4441
0.4545
1.5
0.4332
0.4345
0.4357
0.4370
0.4394
0.4535
0.4625
*0.4495
0.4505
0.4515
0.4474
0.4573
0.4656
1.6
0.4452
0.4463
0.4484
0.4633
0.4599
0.4678
0.4616
0.4693
0.4756
0.4608
0.4591
0.4671
0.4582
0.4554
0.4641
0.4713
1.7
0.4564
0.4706
0.4767
0.4699
0.4686
:0.4750.
0.4803
1.8
0.4649
0.4664
0.4761
0.4738
0.4793
0.4744
0.4719
0.4778
0.4826
0.4732
0.4788
1.9
0.4726
0.4808
0.4812
0.4817
0.4798
0.4842
0.4772
0.4783
2.0
2.1
0.4857
0.4890
0.4854
0.4850
0.4884
0.4821
0.4830
0.4834
0.4838
0.4846
0.4887
0.4913
0.4875
0.4878
0.4881
0.4868
0.4898
2.2
0.4861
0.4864
0.4871
0.4901
0.4904
0.4906
0.4909
0.4911
0.4916
0.4896
0.4920
2.3
0.4893
0.4936
0.4952
0.4964
0.4932
0.4934
0.4931
0.4948
0.4925
0.4927
0.4929
0.4918
0.4938
0.4922
0.4941
0.4956
2.4
0.4951
0.4963
0.4946
0.4949
0.4943
0.4957
2.5
0.4940
0.4945
0.4955
0.4959
0.4960
0.4961
0.4962
0.4953
0.4965
0.4974
2.6
2.7
0.4966
0.4967
0.4968
0.4969
0.4970
0.4971
0.4972
0.4973
0.4974
2.8
0.4975
0.4976
0.4977
0.4977
0.4978
0.4979
0.4979
0.4980
0.4981
0.4986
0.4986
0.4984
0.4989
2.9
0.4981
0.4982
0.4982
0.4983
0.4984
0.4985
0.4985
3.0
0.4987
0.4987
0.4987
0.4988
0.4988
0.4989
0.4989
0.4990
0.4990
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