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 = 69, find the probablity of a sample mean being less than 21. 1 if mean = 21 and standard deviation = 1.31 Standard Normal Table (Page 1)Area- 1.4- 1.3Z.07.0003.09.08-3.4 .0002 .0003-3.3 .0003 .0004-3.2 .0005 .0005.0007.0004.0005-3.1.0007.0008- 3.0.0010.0010.0011.0015.0021.0030 0031.0034.0040 0041.0045.0029.0039.0052.0069 .0071 .0073.0054 .0055.0060.0080.0099 0102 .0104-2.9 .0014 .0014 .0015-2.8 .0019 .0020 .0021-2.7 .0026 .0027 .0028-2.6 .0036 .0037 0038-2.5 .0048 .0049 .0051-2.4 .0064 .0066 .0068-2.3 .0084 .0087.0089 .0091 .0094 0096-2.2 .0110 0113 0116.0119 0122 0125 .0129 0132 .0136-2.1 .0143 .0146 .0150 .0154 .0158 0162 .0166 .0170 .0174-2.0 .0183 .0188 .0192 .0197 .0202 0207 .0212-1.9 .0233 .0239 .0244 .0250 .0256 0262 .0268-1.8 .0294 .0301 .0307 .0314 0322 0329 .0336-1.7 .0367 .0375 .0384 .0392-1.6 .0455 .0465 .0475 .0485-1.5.0559 .0571 .0582.0594.0681 .0694 .0708 .0721.08230217.0222.0274 .0281.0287.0344 .03510359.04010409.0418.0427 .04360446.04950505 .05160526 .053705480668.0808.0606 0618 .0630 0643 .0655.0735 .0749 .0764 .0778 .0793.0885 0901 .0918.1056 .1075 .10930934 .09510968.0985.1003.0838 0853 .0869.1020 .1038.1210 .12301112 .1131.11511170.1190.1357.1379.1401.1423.1446.1469.1562 .1587-0.9 .1611 .1635 .1660.1685.1251 .1271 .1292 .1314 .1335.1492 .1515 .1539.1711 .1736 .1762 .1788 .18142005.2266 2296.1841.1949.1977.20332061.2090211923272358.238924202611 .26432676 .27092743.2981 .3015 .3050 .3085-0.8 .1867 .1894 .1922-0.7 2148 2177 2206 .2236-0.6 .2451 .2483 .2514 .2546 2578-0.5 .2776 2810 2843 .2877 2912 2946-0.4 .3121 3156 3192 .3228 .3264 3300-0.3 .3483 3520 .3557 .3594 .3632 3669-0.2 .3859 .3897 .3936-0.1 4247 4286-0.03446.3336 3372 .3409.3707 .3745 .3783.3821.3974 40134052.40904129 41684207.4325.436444044443.448345624602464146814721.476148014840.488049605000Z.09.08.07.06.05.04.03.01.00Z- 1.2- 1.1- 1.0.06.05.04.03.02.0003 .0003 .0003 .0003.0003.0004 .0004.0004 .0005.0004.0006 .0006.0006.00080008.0009 .0009 .0009.00110012 .0012 .0013 .0013.0017.0023.0006.0008.0011.01.0003.0005.0006 .0007.0016.0016.0022 0023.0018.0018.0024 .0025.0032.0033.0043 .0044.0057 .0059.0075 .007845224920.02.00.0003.0005.0007.0010.0013.00190026.0035.0047.0062.0082.010701390179.0228 Standard Normal Table (Page 2)Area0zZZ.00.01.03.04.05.06.070.05160 5199.523952790.1.02.5000 .5040 .5080 .5120.5398 .5438 5478 .5517.5793 5832 5871 .5910.6217 .6255 .62935557 .5596 .5636 .56750.2.59480.3.6179.63310.4.6554.6736 .6772.6591 .6628 .6664.6915 .6950 .6985 .7019.6700.7054 .70880.571230.6.7257.7422 74540.7.7580.76110.8.7881 .79100.9.8159 .81867291 .7324 .7357 .7389.7642 .7673 .7704 .7734 .7764.7939 7967 .7995 .8023 .8051.8212 8238 .82648413 .8438 .8461 .8485 8508.8643 .8665 .8686 .8708 .8729.8907 .8925.9082 .90991.01.11.28869 .8888.8849.90321.3.9049 .90661.49192 .9207.9222.9236.92511.59332.93459357.9370.93821.6 .9452 .9463 .9474 .9484.94951.7.9554 .9564 9573.9641 .9649 .96561.82.12.2.9582 .9591.9664 .96711.9 .9713 .9719 9726 .9732 .97382.0 .9772 .9778 .9783 9788 .9793 .9798 .9803 .9808.9821 .9826 .9830 .9834 9838 .9842 .9846 .9850.9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884.9893 .9896 .9898 .9901 .9904 .9906 .9909.9918 9920 .9922 .9925 9927 .9929 .9931.9938 .9940 .9941 .9943 9945 .9946 .9948.9953 .9955 .9956 .9957 .9959 .9960 .9961.9965 .9966 .9967 .9968.9970 .99712.32.42.52.62.7.99692.8.9974 .9975 .9976.9977.9977.9978 .99792.9.9981 .9982 .9982.9983.9984.998499853.0.9987 .99879988.9988 .998999893.1.9987.9990 .9991 .9991 .9991 .99929993 9993 .9994 .9994 .9994.9992.99923.2.9994.99943.3.9995.9996 .9996.9995 .9995 .9996.9997 .9997 .99973.4.9997.9997z.00.01.02.03.06.08.5319.5714.61415987 .6026 .6064 .6103.6368 .6406.6443.6480.6517.6808.6844.6879.7157.7190.72247486.7517.7549.7794.78237852.8078 .81068133.8389.8621.8289 .8315 .8340 .8365.8531 .8554 .8577 8599.8749 .8770 .8790 .8810 8830.8944 .8962 .8980 .8997 .90159115 .9131 .9147 .9162 .9177.9319.9265 .9279.9292 .9306.9394 .9406.9418 9429.9441.9525 .9535.9545.9616.9625.9633.9505 .9515.9599 .9608.9678 .9686 .9693.9744 .9750 .9756 .9761.9699.9706.9767.9812.9817.985498879911 .9913.9932 .9934.9949 .9951.9962 .9963.9972.9979.9985.9989 .9990 .9990.99929993 .9993.999599959995.9996 .9996.9997.999799979998.07.08.09.09.5359.5753.9996.9997 .9997.04.05.9857.9890.9916.9936.99529964.9973.9974.9980 .9981.9986 .9986

Answered: Image /qna-images/answer/af993014-9f0e-448c-969a-568d4315f50e.jpg

Answered: The population mean and standard…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

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 = 69, find the probablity of a sample mean being less than 21. 1 if mean = 21 and standard deviation = 1.31

Standard Normal Table (Page 1)
Area
- 1.4
- 1.3
Z
.07
.0003
.09
.08
-3.4 .0002 .0003
-3.3 .0003 .0004
-3.2 .0005 .0005
.0007
.0004
.0005
-3.1
.0007
.0008
- 3.0
.0010
.0010
.0011
.0015
.0021
.0030 0031
.0034
.0040 0041
.0045
.0029
.0039
.0052
.0069 .0071 .0073
.0054 .0055
.0060
.0080
.0099 0102 .0104
-2.9 .0014 .0014 .0015
-2.8 .0019 .0020 .0021
-2.7 .0026 .0027 .0028
-2.6 .0036 .0037 0038
-2.5 .0048 .0049 .0051
-2.4 .0064 .0066 .0068
-2.3 .0084 .0087
.0089 .0091 .0094 0096
-2.2 .0110 0113 0116
.0119 0122 0125 .0129 0132 .0136
-2.1 .0143 .0146 .0150 .0154 .0158 0162 .0166 .0170 .0174
-2.0 .0183 .0188 .0192 .0197 .0202 0207 .0212
-1.9 .0233 .0239 .0244 .0250 .0256 0262 .0268
-1.8 .0294 .0301 .0307 .0314 0322 0329 .0336
-1.7 .0367 .0375 .0384 .0392
-1.6 .0455 .0465 .0475 .0485
-1.5
.0559 .0571 .0582
.0594
.0681 .0694 .0708 .0721
.0823
0217
.0222
.0274 .0281
.0287
.0344 .0351
0359
.0401
0409
.0418
.0427 .0436
0446
.0495
0505 .0516
0526 .0537
0548
0668
.0808
.0606 0618 .0630 0643 .0655
.0735 .0749 .0764 .0778 .0793
.0885 0901 .0918
.1056 .1075 .1093
0934 .0951
0968
.0985
.1003
.0838 0853 .0869
.1020 .1038
.1210 .1230
1112 .1131
.1151
1170
.1190
.1357
.1379
.1401
.1423
.1446
.1469
.1562 .1587
-0.9 .1611 .1635 .1660
.1685
.1251 .1271 .1292 .1314 .1335
.1492 .1515 .1539
.1711 .1736 .1762 .1788 .1814
2005
.2266 2296
.1841
.1949
.1977
.2033
2061
.2090
2119
2327
2358
.2389
2420
2611 .2643
2676 .2709
2743
.2981 .3015 .3050 .3085
-0.8 .1867 .1894 .1922
-0.7 2148 2177 2206 .2236
-0.6 .2451 .2483 .2514 .2546 2578
-0.5 .2776 2810 2843 .2877 2912 2946
-0.4 .3121 3156 3192 .3228 .3264 3300
-0.3 .3483 3520 .3557 .3594 .3632 3669
-0.2 .3859 .3897 .3936
-0.1 4247 4286
-0.0
3446
.3336 3372 .3409
.3707 .3745 .3783
.3821
.3974 4013
4052
.4090
4129 4168
4207
.4325
.4364
4404
4443
.4483
4562
4602
4641
4681
4721
.4761
4801
4840
.4880
4960
5000
Z
.09
.08
.07
.06
.05
.04
.03
.01
.00
Z
- 1.2
- 1.1
- 1.0
.06
.05
.04
.03
.02
.0003 .0003 .0003 .0003
.0003
.0004 .0004
.0004 .0005
.0004
.0006 .0006
.0006
.0008
0008
.0009 .0009 .0009
.0011
0012 .0012 .0013 .0013
.0017
.0023
.0006
.0008
.0011
.01
.0003
.0005
.0006 .0007
.0016
.0016
.0022 0023
.0018
.0018
.0024 .0025
.0032
.0033
.0043 .0044
.0057 .0059
.0075 .0078
4522
4920
.02
.00
.0003
.0005
.0007
.0010
.0013
.0019
0026
.0035
.0047
.0062
.0082
.0107
0139
0179
.0228

Standard Normal Table (Page 2)
Area
0
z
Z
Z
.00
.01
.03
.04
.05
.06
.07
0.0
5160 5199
.5239
5279
0.1
.02
.5000 .5040 .5080 .5120
.5398 .5438 5478 .5517
.5793 5832 5871 .5910
.6217 .6255 .6293
5557 .5596 .5636 .5675
0.2
.5948
0.3
.6179
.6331
0.4
.6554
.6736 .6772
.6591 .6628 .6664
.6915 .6950 .6985 .7019
.6700
.7054 .7088
0.5
7123
0.6
.7257
.7422 7454
0.7
.7580
.7611
0.8
.7881 .7910
0.9
.8159 .8186
7291 .7324 .7357 .7389
.7642 .7673 .7704 .7734 .7764
.7939 7967 .7995 .8023 .8051
.8212 8238 .8264
8413 .8438 .8461 .8485 8508
.8643 .8665 .8686 .8708 .8729
.8907 .8925
.9082 .9099
1.0
1.1
1.2
8869 .8888
.8849
.9032
1.3
.9049 .9066
1.4
9192 .9207
.9222
.9236
.9251
1.5
9332
.9345
9357
.9370
.9382
1.6 .9452 .9463 .9474 .9484
.9495
1.7
.9554 .9564 9573
.9641 .9649 .9656
1.8
2.1
2.2
.9582 .9591
.9664 .9671
1.9 .9713 .9719 9726 .9732 .9738
2.0 .9772 .9778 .9783 9788 .9793 .9798 .9803 .9808
.9821 .9826 .9830 .9834 9838 .9842 .9846 .9850
.9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884
.9893 .9896 .9898 .9901 .9904 .9906 .9909
.9918 9920 .9922 .9925 9927 .9929 .9931
.9938 .9940 .9941 .9943 9945 .9946 .9948
.9953 .9955 .9956 .9957 .9959 .9960 .9961
.9965 .9966 .9967 .9968
.9970 .9971
2.3
2.4
2.5
2.6
2.7
.9969
2.8
.9974 .9975 .9976
.9977
.9977
.9978 .9979
2.9
.9981 .9982 .9982
.9983
.9984
.9984
9985
3.0
.9987 .9987
9988
.9988 .9989
9989
3.1
.9987
.9990 .9991 .9991 .9991 .9992
9993 9993 .9994 .9994 .9994
.9992
.9992
3.2
.9994
.9994
3.3
.9995
.9996 .9996
.9995 .9995 .9996
.9997 .9997 .9997
3.4
.9997
.9997
z
.00
.01
.02
.03
.06
.08
.5319
.5714
.6141
5987 .6026 .6064 .6103
.6368 .6406
.6443
.6480
.6517
.6808
.6844
.6879
.7157
.7190
.7224
7486
.7517
.7549
.7794
.7823
7852
.8078 .8106
8133
.8389
.8621
.8289 .8315 .8340 .8365
.8531 .8554 .8577 8599
.8749 .8770 .8790 .8810 8830
.8944 .8962 .8980 .8997 .9015
9115 .9131 .9147 .9162 .9177
.9319
.9265 .9279
.9292 .9306
.9394 .9406
.9418 9429
.9441
.9525 .9535
.9545
.9616
.9625
.9633
.9505 .9515
.9599 .9608
.9678 .9686 .9693
.9744 .9750 .9756 .9761
.9699
.9706
.9767
.9812
.9817
.9854
9887
9911 .9913
.9932 .9934
.9949 .9951
.9962 .9963
.9972
.9979
.9985
.9989 .9990 .9990
.9992
9993 .9993
.9995
9995
9995
.9996 .9996
.9997
.9997
9997
9998
.07
.08
.09
.09
.5359
.5753
.9996
.9997 .9997
.04
.05
.9857
.9890
.9916
.9936
.9952
9964
.9973
.9974
.9980 .9981
.9986 .9986

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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