The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n= 66, find the probability of a sample mean being less than 22.1if u= 22 and a= 1.34. Click the icon to view page 1 of the standard normal table. Standard normal table (page 1) Click the icon to view page 2 of the standard normal table. For a sample of n= 66, the probability of a sample mean being less than 22.1f u= 22 and a= 1.34 isO Round to four decimal places as needed) 09 08 07 06 04 03 02 -3.4 0002 0003 0003 0004 0003 0003 0003 0003 0003 0003 Would the given sample mean be considered unusual? -33 0004 0004 0004 0004 0005

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.
For a sample of n = 66, find the probability of a sample mean being less than 22.1 if u = 22 and o = 1.34.
E Click the icon to view page 1 of the standard normal table.
Standard normal table (page 1)
Standard normal table (page 2)
E Click the icon to view page 2 of the standard normal table.
For a sample of n = 66, the probability of a sample mean being less than 22.1 if u = 22 and o = 1.34 is
(Round to four decimal places as needed.)
.09
.08
.07
.06
.05
.04
.03
.02
.01
.00
01
.02
.03
04
.05
.07
08
.09
-3.4
.0002
.0003
.0003
.0003
.0003
0003
.0003
.0003
.0003
0003
0.0
.5000
.5040
.5080
.5120
5160
5199
.5239
5279
.5319
.5359
Would the given sample mean be considered unusual?
0.1
.5398
.5438
5478
.5517
.5557
5596
.5636
5675
.5714
.5753
- 3.3
- 3.2
- 3.1
- 3.0
.0003
.0004
.0004
.0004
.0004
0004
.0004
.0005
.0005
.0005
0.2
.5793
5832
5871
.5910
.5948
5987
.6026
.6064
.6103
6141
.0005
.0005
.0005
.0006
.0006
0006
.0006
.0006
.0007
0007
The sample mean
V be considered unusual because it has a probability that is
V than 5%.
0008
0008
0008
0.3
.6179
.6217
.6255
.6293
.6331
.6368
.6406
6443
.6480
.6517
0009
.0012
.0007
.0007
.0008
.0009
.0009
.0010
.0013
0.4
.6554
.6591
.6628
.6664
.6700
.6736
.6772
.6808
.6844
.6879
.0013
.0019
.0010
.0010
.0011
.0011
.0011
0012
.0013
0.5
.6915
.6950
.6985
.7019
.7054
.7088
.7123
.7157
.7190
7224
- 2.9
- 2.8
- 2.7
- 2.6
.0014
.0014
.0015
.0015
.0016
0016
.0017
.0018
.0018
.0019
.0020
.0021
.0021
.0022
0023
.0023
.0024
.0025
.0026
0.6
.7257
7291
.7324
.7357
.7389
.7422
7454
.7486
.7517
.7549
.7704
.7995
8264
.0026
.0027
.0028
.0029
.0030
0031
.0032
.0033
.0034
.0035
0.7
.7580
7611
.7642
7673
.7734
7764
.7794
.7823
.7852
.7881
8159
.8023
8289
.0036
.0037
.0038
.0039
.0040
0041
.0043
.0044
.0045
.0047
0.8
.7910
.7939
7967
.8051
.8078
.8106
8133
-2.5
.0048
.0049
.0051
.0052
.0054
0055
.0057
.0059
.0060
.0062
0.9
8186
.8212
.8238
.8315
.8340
.8365
8389
8485
.8708
-2.4
.0064
.0066
.0068
.0069
.0071
0073
.0075
.0078
.0080
.0082
1.0
.8413
8438
.8461
8508
.8531
.8554
.8577
8599
8621
-2.3
.0084
.0087
.0089
.0091
.0094
0096
.0099
.0102
.0104
0107
1.1
.8643
.8665
8686
8729
.8749
8770
.8790
.8810
8830
1.2
.8849
8869
.8888
.8907
.8925
8944
.8962
.8980
.8997
.9015
- 2.2
- 2.1
- 2.0
- 1.9
- 1.8
- 1.7
.0110
.0113
.0116
.0119
.0122
0125
.0129
.0132
.0136
0139
.0143
.0146
.0150
.0154
.0158
0162
.0166
.0170
.0174
0179
1.3
9032
.9049
.9066
.9082
.9099
9115
.9131
.9147
.9162
.9177
.0183
.0188
.0192
.0197
.0202
0207
.0212
.0217
.0222
.0228
1.4
9192
.9207
.9222
.9236
.9251
.9265
.9279
.9292
.9306
.9319
.9441
.9545
.9382
9394
.9505
.0233
.0239
.0244
.0250
.0256
0262
.0268
.0274
.0281
.0287
1.5
.9332
.9345
.9357
.9370
.9406
.9418
.9429
.9484
.9582
.9515
.9608
.0294
.0301
.0307
0314
.0322
0329
.0336
.0344
.0351
0359
1.6
.9452
.9463
.9474
.9495
.9525
.9535
.0367
.0375
.0384
.0392
1.7
.9554
.9564
.9573
.9591
9599
.9616
.9625
.9633
.0401
0409
.0418
.0427
.0436
0446
9678
.9744
.9798
1.8
.9641
.9649
9656
.9664
.9671
.9686
.9693
.9699
.9706
- 1.6
- 1.5
- 1.4
- 1.3
- 1.2
- 1.1
- 1.0
.0455
.0465
.0475
.0485
.0495
0505
.0516
.0526
.0537
.0548
.0559
.0571
.0582
.0594
.0606
0618
.0630
.0643
.0655
.0668
1.9
.9713
.9719
.9726
.9732
.9738
9750
.9756
.9761
.9767
.0681
.0694
.0708
.0721
.0735
0749
.0764
.0778
.0793
0808
2.0
.9772
.9778
9783
.9788
.9793
.9803
.9808
.9812
.9817
9838
.9875
.0823
.0838
.0853
.0869
.0885
0901
0918
2.1
.9821
.9826
.9830
.9834
.9842
.9846
9850
.9854
.9857
.0934
.0951
.0968
1112
.9871
.0985
.1003
.1020
.1038
.1056
.1075
.1093
.1131
.1151
2.2
.9861
.9864
.9868
.9878
.9881
9884
.9887
.9890
.1170
.1190
.1210
.1230
.1251
.1271
.1292
.1314
.1335
.1357
2.3
.9893
.9896
.9898
.9901
9904
.9906
.9909
.9911
.9913
.9916
.1379
.1401
.1423
.1446
.1469
.1492
.1515
.1539
.1562
.1587
2.4
.9918
.9920
.9922
.9925
.9927
.9929
.9931
.9932
.9934
.9936
9945
.9959
.9969
.9946
.9960
.9970
.9978
.9984
-0.9
.1611
.1635
.1660
.1685
.1711
.1736
.1762
.1788
.1814
.1841
2.5
.9938
9940
.9941
.9943
.9948
.9949
.9951
9952
-0.8
.1867
.1894
.1922
.1949
.1977
2005
.2033
2061
.2090
2119
2.6
.9953
.9955
.9956
.9957
9961
.9962
.9963
9964
9974
.9981
-0.7
.2148
2177
2206
.2236
2266
2296
.2327
.2358
2389
2420
2.7
.9965
.9966
.9967
.9968
.9971
.9972
.9973
-0.6
.2451
2483
2514
.2546
.2578
2611
.2643
2676
.2709
2743
2.8
.9974
.9975
.9976
9977
.9977
.9979
.9979
.9980
-0.5
.2776
2810
.2843
.2877
2912
2946
.2981
3015
.3050
3085
2.9
.9981
.9982
.9982
9983
.9984
.9985
.9985
.9986
.9986
3.0
.9987
.9987
.9987
.9988
.9988
.9989
9989
.9989
.9990
.9990
3300
3669
-0.4
3121
.3156
.3192
.3228
.3264
.3336
3372
.3409
3446
-0.3
.3483
.3520
.3557
.3594
3632
.3707
3745
.3783
3821
3.1
.9990
.9991
.9991
.9991
.9992
.9992
.9992
.9992
9993
.9993
.9994
.9996
-0.2
.3859
.3897
3936
.3974
4013
4052
.4090
4129
4168
4207
3.2
9993
9993
9994
9994
9994
.9994
9995
.9995
9995
-0.1
4247
4286
.4325
4364
4404
4443
.4483
4522
4562
4602
3.3
9995
.9995
.9995
9996
.9996
.9996
.9996
.9996
.9997
-0.0
4641
4681
.4721
.4761
4801
4840
.4880
4920
4960
5000
3.4
9997
.9997
.9997
.9997
.9997
9997
.9997
.9997
.9997
.9998
.09
.08
.07
.06
.05
,04
.03
.02
.01
.00
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
Transcribed Image Text:The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 66, find the probability of a sample mean being less than 22.1 if u = 22 and o = 1.34. E Click the icon to view page 1 of the standard normal table. Standard normal table (page 1) Standard normal table (page 2) E Click the icon to view page 2 of the standard normal table. For a sample of n = 66, the probability of a sample mean being less than 22.1 if u = 22 and o = 1.34 is (Round to four decimal places as needed.) .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 01 .02 .03 04 .05 .07 08 .09 -3.4 .0002 .0003 .0003 .0003 .0003 0003 .0003 .0003 .0003 0003 0.0 .5000 .5040 .5080 .5120 5160 5199 .5239 5279 .5319 .5359 Would the given sample mean be considered unusual? 0.1 .5398 .5438 5478 .5517 .5557 5596 .5636 5675 .5714 .5753 - 3.3 - 3.2 - 3.1 - 3.0 .0003 .0004 .0004 .0004 .0004 0004 .0004 .0005 .0005 .0005 0.2 .5793 5832 5871 .5910 .5948 5987 .6026 .6064 .6103 6141 .0005 .0005 .0005 .0006 .0006 0006 .0006 .0006 .0007 0007 The sample mean V be considered unusual because it has a probability that is V than 5%. 0008 0008 0008 0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 6443 .6480 .6517 0009 .0012 .0007 .0007 .0008 .0009 .0009 .0010 .0013 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 .0013 .0019 .0010 .0010 .0011 .0011 .0011 0012 .0013 0.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 7224 - 2.9 - 2.8 - 2.7 - 2.6 .0014 .0014 .0015 .0015 .0016 0016 .0017 .0018 .0018 .0019 .0020 .0021 .0021 .0022 0023 .0023 .0024 .0025 .0026 0.6 .7257 7291 .7324 .7357 .7389 .7422 7454 .7486 .7517 .7549 .7704 .7995 8264 .0026 .0027 .0028 .0029 .0030 0031 .0032 .0033 .0034 .0035 0.7 .7580 7611 .7642 7673 .7734 7764 .7794 .7823 .7852 .7881 8159 .8023 8289 .0036 .0037 .0038 .0039 .0040 0041 .0043 .0044 .0045 .0047 0.8 .7910 .7939 7967 .8051 .8078 .8106 8133 -2.5 .0048 .0049 .0051 .0052 .0054 0055 .0057 .0059 .0060 .0062 0.9 8186 .8212 .8238 .8315 .8340 .8365 8389 8485 .8708 -2.4 .0064 .0066 .0068 .0069 .0071 0073 .0075 .0078 .0080 .0082 1.0 .8413 8438 .8461 8508 .8531 .8554 .8577 8599 8621 -2.3 .0084 .0087 .0089 .0091 .0094 0096 .0099 .0102 .0104 0107 1.1 .8643 .8665 8686 8729 .8749 8770 .8790 .8810 8830 1.2 .8849 8869 .8888 .8907 .8925 8944 .8962 .8980 .8997 .9015 - 2.2 - 2.1 - 2.0 - 1.9 - 1.8 - 1.7 .0110 .0113 .0116 .0119 .0122 0125 .0129 .0132 .0136 0139 .0143 .0146 .0150 .0154 .0158 0162 .0166 .0170 .0174 0179 1.3 9032 .9049 .9066 .9082 .9099 9115 .9131 .9147 .9162 .9177 .0183 .0188 .0192 .0197 .0202 0207 .0212 .0217 .0222 .0228 1.4 9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319 .9441 .9545 .9382 9394 .9505 .0233 .0239 .0244 .0250 .0256 0262 .0268 .0274 .0281 .0287 1.5 .9332 .9345 .9357 .9370 .9406 .9418 .9429 .9484 .9582 .9515 .9608 .0294 .0301 .0307 0314 .0322 0329 .0336 .0344 .0351 0359 1.6 .9452 .9463 .9474 .9495 .9525 .9535 .0367 .0375 .0384 .0392 1.7 .9554 .9564 .9573 .9591 9599 .9616 .9625 .9633 .0401 0409 .0418 .0427 .0436 0446 9678 .9744 .9798 1.8 .9641 .9649 9656 .9664 .9671 .9686 .9693 .9699 .9706 - 1.6 - 1.5 - 1.4 - 1.3 - 1.2 - 1.1 - 1.0 .0455 .0465 .0475 .0485 .0495 0505 .0516 .0526 .0537 .0548 .0559 .0571 .0582 .0594 .0606 0618 .0630 .0643 .0655 .0668 1.9 .9713 .9719 .9726 .9732 .9738 9750 .9756 .9761 .9767 .0681 .0694 .0708 .0721 .0735 0749 .0764 .0778 .0793 0808 2.0 .9772 .9778 9783 .9788 .9793 .9803 .9808 .9812 .9817 9838 .9875 .0823 .0838 .0853 .0869 .0885 0901 0918 2.1 .9821 .9826 .9830 .9834 .9842 .9846 9850 .9854 .9857 .0934 .0951 .0968 1112 .9871 .0985 .1003 .1020 .1038 .1056 .1075 .1093 .1131 .1151 2.2 .9861 .9864 .9868 .9878 .9881 9884 .9887 .9890 .1170 .1190 .1210 .1230 .1251 .1271 .1292 .1314 .1335 .1357 2.3 .9893 .9896 .9898 .9901 9904 .9906 .9909 .9911 .9913 .9916 .1379 .1401 .1423 .1446 .1469 .1492 .1515 .1539 .1562 .1587 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 9945 .9959 .9969 .9946 .9960 .9970 .9978 .9984 -0.9 .1611 .1635 .1660 .1685 .1711 .1736 .1762 .1788 .1814 .1841 2.5 .9938 9940 .9941 .9943 .9948 .9949 .9951 9952 -0.8 .1867 .1894 .1922 .1949 .1977 2005 .2033 2061 .2090 2119 2.6 .9953 .9955 .9956 .9957 9961 .9962 .9963 9964 9974 .9981 -0.7 .2148 2177 2206 .2236 2266 2296 .2327 .2358 2389 2420 2.7 .9965 .9966 .9967 .9968 .9971 .9972 .9973 -0.6 .2451 2483 2514 .2546 .2578 2611 .2643 2676 .2709 2743 2.8 .9974 .9975 .9976 9977 .9977 .9979 .9979 .9980 -0.5 .2776 2810 .2843 .2877 2912 2946 .2981 3015 .3050 3085 2.9 .9981 .9982 .9982 9983 .9984 .9985 .9985 .9986 .9986 3.0 .9987 .9987 .9987 .9988 .9988 .9989 9989 .9989 .9990 .9990 3300 3669 -0.4 3121 .3156 .3192 .3228 .3264 .3336 3372 .3409 3446 -0.3 .3483 .3520 .3557 .3594 3632 .3707 3745 .3783 3821 3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 .9992 9993 .9993 .9994 .9996 -0.2 .3859 .3897 3936 .3974 4013 4052 .4090 4129 4168 4207 3.2 9993 9993 9994 9994 9994 .9994 9995 .9995 9995 -0.1 4247 4286 .4325 4364 4404 4443 .4483 4522 4562 4602 3.3 9995 .9995 .9995 9996 .9996 .9996 .9996 .9996 .9997 -0.0 4641 4681 .4721 .4761 4801 4840 .4880 4920 4960 5000 3.4 9997 .9997 .9997 .9997 .9997 9997 .9997 .9997 .9997 .9998 .09 .08 .07 .06 .05 ,04 .03 .02 .01 .00 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
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