The population mean and standard deviation are given below. Find the required probability and determine whether the given For a sample of n= 62, find the probability of a sample mean being less than 24.1 if u= 24 and a= 1.21, Click the icon to view page 1 of the standard normal table. Standare Click the icon to view page 2 of the standard normal table. For a sample of n= 62, the probability of a sample mean being less than 24.1 if u= 24 and a= 1.21 is | (Round to four decimal places as needed.) 2- 2- -2- 2- -2. 2- 2. 2- -2- 2. -1. 1. 1. 1. 1. 1. 1. -0- -0.

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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Related questions
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 = 62, find the probability of a sample mean being less than 24.1 if u = 24 and o = 1.21
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= 62, the probability of a sample mean being less than 24.1 if u = 24 ando = 1.21 is
(Round to four decimal places as needed.)
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.09
.08
.07
.06
.05
.04
.03
.02
.01
.00
.5359
.5753
0.0
.5000
.5040
.5080
.5120
.5160
.5199
.5239
.5279
.5319
- 3.4
- 3.3
.0002
.0003
.0003
.0003
.0003
0003
.0003
.0003
.0003
.0003
0.1
.5398
5675
.6064
.5438
.5478
.5517
5557
.5596
.5636
.5714
.0003
.0004
.0004
.0004
.0004
0004
.0004
.0005
.0005
.0005
0.2
.5793
5832
.5871
.5910
.5948
.5987
.6026
.6103
.6141
- 3.2
- 3.1
- 3.0
- 2.9
- 2.8
- 2.7
- 2.6
- 2.5
- 2.4
- 2.3
- 2.2
- 2.1
- 2.0
- 1.9
.0005
.0005
.0005
.0006
.0006
0006
.0006
.0006
.0007
.0007
0.3
.6179
.6217
.6255
.6293
.6331
.6368
.6406
.6443
.6480
.6517
.0007
.0007
.0008
.0008
.0008
0008
.0009
.0009
.0009
.00 10
0.4
.6554
.6591
.6628
.6664
.6700
.6736
.6772
.6808
.6844
.6879
.0010
.0010
.0011
.0011
.0011
0012
.0012
.0013
.0013
.0013
0.5
.6915
.6950
.6985
.7019
.7054
.7088
7123
.7157
.7190
.7224
.0014
.0014
.0015
.0015
.0016
0016
.0017
.0018
.0018
.0019
0.6
.7257
7291
.7324
.7357
.7389
.7422
7454
.7486
.7517
7549
.0019
.0020
.0021
.0021
.0022
0023
.0023
.0024
.0025
.0026
0.7
.7580
7611
.7642
7673
.7704
.7734
7764
.7794
.7823
.7852
.0026
.0027
.0028
.0029
.0030
0031
.0032
.0033
.0034
.0035
0.8
.7881
.7910
.7939
.7967
.7995
.8023
.8051
.8078
.8106
.8133
.0036
.0037
.0038
.0039
.0040
0041
.0043
.0044
.0045
.0047
0.9
8159
8186
.8212
.8238
8264
.8289
.8315
.8340
.8365
8389
.0048
.0049
.0051
.0052
.0054
0055
.0057
.0059
.0060
0062
1.0
.8413
8438
.8461
.8485
8508
.8531
.8554
.8577
.8599
.8621
.0064
.0066
.0068
.0069
.0071
0073
.0075
.0078
.0080
.0082
1.1
8643
.8665
.8686
.8708
.8729
.8749
.8770
.8790
.8810
.8830
0107
.0139
.0084
.0087
.0089
.0091
.0094
0096
.0099
.0102
.0104
1.2
8849
8869
.8888
8907
.8925
.8944
.8962
.8980
.8997
.9015
.0110
.0113
.0116
.0119
.0122
0125
.0129
.0132
.0136
1.3
.9032
.9049
.9066
.9082
.9099
.9115
.9131
.9147
.9162
.9177
.0143
.0146
.0150
.0154
.0158
0162
.0166
.0170
.0174
0179
1.4
.9192
.9207
.9222
.9236
.9251
9265
.9279
.9292
9306
.9319
.0183
.0188
.0192
.0197
.0202
0207
.0212
.0217
.0222
.0228
1.5
.9332
.9345
.9357
.9370
.9382
.9394
.9406
.9418
.9429
.9441
-1.9
.0233
.0239
.0244
.0250
.0256
0262
.0268
.0274
.0281
.0287
1.6
.9452
.9463
.9474
.9484
.9495
.9505
.9515
.9525
.9535
.9545
- 1.8
- 1.7
- 1.6
- 1.5
- 1.4
- 1.3
- 1.2
- 1.1
- 1.0
.0294
.0301
.0307
.0314
.0322
0329
.0336
.0344
.0351
.0359
1.7
.9554
.9564
.9573
.9582
.9591
.9599
.9608
.9616
.9625
.9633
.0367
.0375
.0384
.0392
.0401
0409
.0418
.0427
.0436
.0446
1.8
.9641
.9649
.9656
.9664
.9671
.9678
.9686
9693
.9699
.9706
.0455
.0465
.0475
.0485
.0495
0505
.0516
.0526
.0537
.0548
.9767
.9817
1.9
.9713
.9719
9726
.9732
.9738
.9744
.9750
.9756
.9761
.0559
.0571
.0582
.0594
.0606
0618
.0630
.0643
.0655
.0668
2.0
.9772
.9778
.9783
.9788
9793
.9798
.9803
9808
.9812
.0681
.0694
.0708
.0721
.0735
0749
.0764
.0778
.0793
.0808
2.1
.9821
.9826
.9830
.9834
9838
.9842
.9846
.9850
.9854
.9857
.0823
.0838
.0853
.0869
.0885
0901
.0918
.0934
.0951
.0968
2.2
.9861
.9864
.9868
.9871
9875
.9878
.9881
.9884
.9887
.9890
.0985
.1003
.1020
.1038
.1056
.1075
.1093
.1112
.1131
.1151
2.3
.9893
.9896
.9898
.9901
.9904
.9906
.9909
.9911
.9913
.9916
.1170
.1190
.1210
.1230
.1251
.1271
.1292
.1314
.1335
.1357
2.4
.9918
.9920
.9922
.9925
.9927
.9929
.9931
9932
.9934
.9936
.1401
.1635
.1894
.1379
.1423
.1446
.1469
.1492
.1515
.1539
.1562
.1587
2.5
.9938
.9940
.9941
.9943
9945
.9946
.9948
.9949
.9951
.9952
-0.9
.1611
.1660
.1685
.1711
.1736
.1762
.1788
.1814
.1841
2.6
.9953
.9955
.9956
.9957
.9959
.9960
.9961
.9962
.9963
9964
-0.8
.1867
.1922
.1949
.1977
2005
.2033
2061
.2090
2119
2.7
.9965
.9966
.9967
.9968
.9969
.9970
9971
.9972
.9973
.9974
-0.7
.2148
2177
2206
.2236
2266
2296
2327
2358
2389
2420
.9974
.9981
2.8
.9975
.9976
.9977
.9977
.9978
.9979
.9979
.9980
9981
-0.6
.2451
2483
.2514
.2546
2578
2611
.2643
2676
.2709
2743
2.9
.9982
.9982
.9983
.9984
.9984
.9985
.9985
.9986
.9986
-0.5
.2776
.2810
2843
.2877
2912
2946
.2981
3015
.3050
3085
3.0
.9987
.9987
.9987
.9988
.9988
.9989
9989
.9989
.9990
.9990
-0.4
.3121
3156
.3192
.3228
.3264
3300
.3336
3372
.3409
3446
3.1
.9990
.9991
.9991
.9991
.9992
.9992
9992
.9992
.9993
.9993
-0.3
.3483
.3520
3557
.3594
3632
3669
.3707
.3745
.3783
3821
3.2
.9993
.9993
.9994
.9994
.9994
.9994
.9994
.9995
.9995
.9995
-0.2
.3859
3897
.3936
.3974
4013
4052
.4090
4129
4168
4207
3.3
9995
.9995
.9995
.9996
.9996
.9996
.9996
.9996
9996
.9997
-0.1
4247
4286
4325
.4364
4404
4443
.4483
4522
4562
4602
3.4
.9997
.9997
.9997
.9997
.9997
.9997
.9997
.9997
.9997
.9998
- 0.0
4641
4681
4721
.4761
4801
4840
.4880
4920
4960
5000
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.09
.08
.07
.06
.05
.04
.03
.02
.01
.00
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 = 62, find the probability of a sample mean being less than 24.1 if u = 24 and o = 1.21 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= 62, the probability of a sample mean being less than 24.1 if u = 24 ando = 1.21 is (Round to four decimal places as needed.) .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 .5359 .5753 0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 - 3.4 - 3.3 .0002 .0003 .0003 .0003 .0003 0003 .0003 .0003 .0003 .0003 0.1 .5398 5675 .6064 .5438 .5478 .5517 5557 .5596 .5636 .5714 .0003 .0004 .0004 .0004 .0004 0004 .0004 .0005 .0005 .0005 0.2 .5793 5832 .5871 .5910 .5948 .5987 .6026 .6103 .6141 - 3.2 - 3.1 - 3.0 - 2.9 - 2.8 - 2.7 - 2.6 - 2.5 - 2.4 - 2.3 - 2.2 - 2.1 - 2.0 - 1.9 .0005 .0005 .0005 .0006 .0006 0006 .0006 .0006 .0007 .0007 0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517 .0007 .0007 .0008 .0008 .0008 0008 .0009 .0009 .0009 .00 10 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 .0010 .0010 .0011 .0011 .0011 0012 .0012 .0013 .0013 .0013 0.5 .6915 .6950 .6985 .7019 .7054 .7088 7123 .7157 .7190 .7224 .0014 .0014 .0015 .0015 .0016 0016 .0017 .0018 .0018 .0019 0.6 .7257 7291 .7324 .7357 .7389 .7422 7454 .7486 .7517 7549 .0019 .0020 .0021 .0021 .0022 0023 .0023 .0024 .0025 .0026 0.7 .7580 7611 .7642 7673 .7704 .7734 7764 .7794 .7823 .7852 .0026 .0027 .0028 .0029 .0030 0031 .0032 .0033 .0034 .0035 0.8 .7881 .7910 .7939 .7967 .7995 .8023 .8051 .8078 .8106 .8133 .0036 .0037 .0038 .0039 .0040 0041 .0043 .0044 .0045 .0047 0.9 8159 8186 .8212 .8238 8264 .8289 .8315 .8340 .8365 8389 .0048 .0049 .0051 .0052 .0054 0055 .0057 .0059 .0060 0062 1.0 .8413 8438 .8461 .8485 8508 .8531 .8554 .8577 .8599 .8621 .0064 .0066 .0068 .0069 .0071 0073 .0075 .0078 .0080 .0082 1.1 8643 .8665 .8686 .8708 .8729 .8749 .8770 .8790 .8810 .8830 0107 .0139 .0084 .0087 .0089 .0091 .0094 0096 .0099 .0102 .0104 1.2 8849 8869 .8888 8907 .8925 .8944 .8962 .8980 .8997 .9015 .0110 .0113 .0116 .0119 .0122 0125 .0129 .0132 .0136 1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177 .0143 .0146 .0150 .0154 .0158 0162 .0166 .0170 .0174 0179 1.4 .9192 .9207 .9222 .9236 .9251 9265 .9279 .9292 9306 .9319 .0183 .0188 .0192 .0197 .0202 0207 .0212 .0217 .0222 .0228 1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441 -1.9 .0233 .0239 .0244 .0250 .0256 0262 .0268 .0274 .0281 .0287 1.6 .9452 .9463 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545 - 1.8 - 1.7 - 1.6 - 1.5 - 1.4 - 1.3 - 1.2 - 1.1 - 1.0 .0294 .0301 .0307 .0314 .0322 0329 .0336 .0344 .0351 .0359 1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633 .0367 .0375 .0384 .0392 .0401 0409 .0418 .0427 .0436 .0446 1.8 .9641 .9649 .9656 .9664 .9671 .9678 .9686 9693 .9699 .9706 .0455 .0465 .0475 .0485 .0495 0505 .0516 .0526 .0537 .0548 .9767 .9817 1.9 .9713 .9719 9726 .9732 .9738 .9744 .9750 .9756 .9761 .0559 .0571 .0582 .0594 .0606 0618 .0630 .0643 .0655 .0668 2.0 .9772 .9778 .9783 .9788 9793 .9798 .9803 9808 .9812 .0681 .0694 .0708 .0721 .0735 0749 .0764 .0778 .0793 .0808 2.1 .9821 .9826 .9830 .9834 9838 .9842 .9846 .9850 .9854 .9857 .0823 .0838 .0853 .0869 .0885 0901 .0918 .0934 .0951 .0968 2.2 .9861 .9864 .9868 .9871 9875 .9878 .9881 .9884 .9887 .9890 .0985 .1003 .1020 .1038 .1056 .1075 .1093 .1112 .1131 .1151 2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 .1170 .1190 .1210 .1230 .1251 .1271 .1292 .1314 .1335 .1357 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 9932 .9934 .9936 .1401 .1635 .1894 .1379 .1423 .1446 .1469 .1492 .1515 .1539 .1562 .1587 2.5 .9938 .9940 .9941 .9943 9945 .9946 .9948 .9949 .9951 .9952 -0.9 .1611 .1660 .1685 .1711 .1736 .1762 .1788 .1814 .1841 2.6 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 9964 -0.8 .1867 .1922 .1949 .1977 2005 .2033 2061 .2090 2119 2.7 .9965 .9966 .9967 .9968 .9969 .9970 9971 .9972 .9973 .9974 -0.7 .2148 2177 2206 .2236 2266 2296 2327 2358 2389 2420 .9974 .9981 2.8 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 9981 -0.6 .2451 2483 .2514 .2546 2578 2611 .2643 2676 .2709 2743 2.9 .9982 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986 -0.5 .2776 .2810 2843 .2877 2912 2946 .2981 3015 .3050 3085 3.0 .9987 .9987 .9987 .9988 .9988 .9989 9989 .9989 .9990 .9990 -0.4 .3121 3156 .3192 .3228 .3264 3300 .3336 3372 .3409 3446 3.1 .9990 .9991 .9991 .9991 .9992 .9992 9992 .9992 .9993 .9993 -0.3 .3483 .3520 3557 .3594 3632 3669 .3707 .3745 .3783 3821 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 .9995 -0.2 .3859 3897 .3936 .3974 4013 4052 .4090 4129 4168 4207 3.3 9995 .9995 .9995 .9996 .9996 .9996 .9996 .9996 9996 .9997 -0.1 4247 4286 4325 .4364 4404 4443 .4483 4522 4562 4602 3.4 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998 - 0.0 4641 4681 4721 .4761 4801 4840 .4880 4920 4960 5000 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .09 .08 .07 .06 .05 .04 .03 .02 .01 .00
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