3. If all possible samples of size 16 are drawn from a normal population with mean equal to 50 and standard deviation equal to 5, what is the probability that a sample mean & will fall in the interval from μx 1.9σx to μx -0.40x? Assume that the sample means can be measured to any degree of accuracy. Find P(0.4
3. If all possible samples of size 16 are drawn from a normal population with mean equal to 50 and standard deviation equal to 5, what is the probability that a sample mean & will fall in the interval from μx 1.9σx to μx -0.40x? Assume that the sample means can be measured to any degree of accuracy. Find P(0.4
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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Transcribed Image Text:3. If all possible samples of size 16 are drawn from a normal population with mean equal to 50
and standard deviation equal to 5, what is the probability that a sample mean X will fall in the
interval from μx - 1.9σx to μx - 0.40*? Assume that the sample means can be measured to any
degree of accuracy.
Find P(0.4 < z < 1.9) in the z-table:
Transcribed Image Text:Table A.3 (continued) Areas under the Normal Curve
.00 .01 .02
0.0 0.5000 0.5040 0.5080
0.1 0.5398 0.5438
.03
.04
.05
.06
.07
.08
.09
0.5120
0.5160 0.5199
0.5239
0.5279
0.5319 0.5359
0.5478
0.5517
0.5636
0.2 0.5793 0.5832
0.5871
0.5910
0.3 0.6179 0.6217
0.4 0.6554 0.6591
0.6255
0.6628
0.6293
0.6664
0.5
0.6915 0.6950
0.6985 0.7019
0.6
0.7257 0.7291
0.7324
0.7
0.7580 0.7611
0.7642
0.7673 0.7704
0.7734
0.7764
0.5557 0.5596
0.5948 0.5987 0.6026
0.6331 0.6368 0.6406 0.6443 0.6480 0.6517
0.6700 0.6736 0.6772 0.6808 0.6844 0.6879
0.7054 0.7088 0.7123 0.7157 0.7190 0.7224
0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549
0.7794 0.7823
0.5675
0.5714 0.5753
0.6064
0.6103 0.6141
0.7852
0.8 0.7881 0.7910
0.7939
0.7967
0.7995
0.8023
0.8051
0.9 0.8159 0.8186
0.8212
0.8238
0.8264
0.8289
0.8315 0.8340
0.8078 0.8106 0.8133
0.8365 0.8389
1.1
1.2
1.0 0.8413 0.8438
0.8643 0.8665
0.8849 0.8869
0.8461 0.8485 0.8508
0.8531
0.8554
0.8577 0.8599 0.8621
0.8686
0.8708 0.8729
0.8749
0.8770
0.8790 0.8810 0.8830
0.8888
0.8907 0.8925
0.8944
0.8962
0.8980
0.8997 0.9015
1.3
0.9032
0.9049
0.9066
0.9082
0.9099
0.9115
0.9131 0.9147
0.9162 0.9177
1.4
0.9192
0.9207
0.9222
0.9236
0.9251
0.9265
0.9279
0.9292
0.9306 0.9319
1.5
0.9332 0.9345 0.9357
0.9370
0.9382
0.9394 0.9406
0.9418
0.9429 0.9441
1.6 0.9452
1.7 0.9554
0.9463 0.9474 0.9484
0.9564 0.9573 0.9582
1.8 0.9641 0.9649 0.9656 0.9664
0.9495
0.9505 0.9515
0.9525
0.9535 0.9545
0.9591
0.9599 0.9608
0.9616
0.9625 0.9633
0.9671
0.9678
0.9686
0.9693
0.9699 0.9706
1.9 0.9713 0.9719
0.9726 0.9732
0.9738
0.9744
0.9750
0.9756
0.9761 0.9767
2.0 0.9772 0.9778 0.9783
2.1 0.9821 0.9826 0.9830 0.9834 0.9838
2.2 0.9861 0.9864 0.9868 0.9871
2.3 0.9893 0.9896 0.9898 0.9901
2.4 0.9918 0.9920 0.9922 0.9925
2.5 0.9938 0.9940 0.9941 0.9943
2.6 0.9953 0.9955 0.9956 0.9957 0.9959
2.7 0.9965 0.9966 0.9967 0.9968
2.8 0.9974 0.9975
2.9 0.9981 0.9982
0.9788
0.9793
0.9798
0.9803
0.9808 0.9812 0.9817
0.9842
0.9846
0.9850
0.9854 0.9857
0.9875
0.9878
0.9881
0.9884
0.9887 0.9890
0.9904
0.9906 0.9909
0.9911
0.9913 0.9916
0.9927
0.9929
0.9931
0.9932
0.9934 0.9936
0.9945
0.9946 0.9948
0.9949
0.9951 0.9952
0.9960 0.9961
0.9962
0.9963 0.9964
0.9969
0.9970
0.9971
0.9972
0.9973 0.9974
0.9976 0.9977
0.9977
0.9978
0.9979
0.9979
0.9980 0.9981
0.9982 0.9983
0.9984
0.9984
0.9985
0.9985
0.9986 0.9986
3.0
3.1
0.9987 0.9987
0.9990 0.9991 0.9991 0.9991
0.9987 0.9988
0.9988
0.9989
0.9989
0.9989 0.9990 0.9990
0.9992
0.9992
0.9992 0.9992 0.9993 0.9993
3.2
0.9993 0.9993 0.9994 0.9994
0.9994
0.9994
3.3
0.9995 0.9995 0.9995 0.9996
0.9996
3.4
0.9997 0.9997 0.9997
0.9997 0.9997
0.9994 0.9995
0.9996 0.9996 0.9996
0.9997 0.9997 0.9997
0.9995 0.9995
0.9996
0.9997
0.9997
0.9998
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