Aea - Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.1 0,2 0.3 0.4 0.5000 0.5398 0.5793 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 0.6255 0.5120 0.5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.6331 0.6700 0.5199 0.5596 0.5987 0.6368 0.6736 0.5239 0.5636 0.6026 0.5279 0.5675 0.6064 0.6443 0.6808 0.5319 0.5714 0.6103 0.5359 0.5753 0.6141 0.6179 0.6554 0.6517 0.6879 0.6406 0.6480 0.6628 0.6772 0.6844 0.6950 0.7291 0.7611 0.7088 0.7422 0.7734 0.8023 0.8289 0.7224 0.7549 0.7852 0.8133 0.8389 0.7123 0.7454 0.5 0.6915 0.7257 0.7580 0.7881 0.8159 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7054 0.7389 0.7704 0.7995 0.8264 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.8106 0.8365 0.6 0.7 0.7673 0.7764 0.8 0.9 0.7910 0.8186 0.7967 0.8238 0.8051 0.8315 0.8599 0.8810 0.8997 1.0 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8461 0.8686 0.8485 0.8708 0.8508 0.8729 0.8925 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8962 0.8577 0.8790 0.8980 0.8621 0.8830 0.90 15 1.1 1.2 0.8869 0.8888 0.8907 1.3 1.4 0.9049 0.9207 0.9066 0.9222 0.9082 0.9236 0.9099 0.9251 0.9131 0.9279 0.9147 0.9292 0.9162 0.9306 0.9177 0.9319 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9345 0.9463 0.9564 0.9357 0.9474 0.9573 0.9370 0.9484 0.9582 0.9664 0.9732 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9441 0.9545 0.9633 0.9671 0.9738 0.9693 0.9756 1.8 0.9641 0.9649 0.9719 0.9656 0.9678 0.9686 0.9699 0.9706 1.9 0.9713 0.9726 0.9744 0.9750 0.9761 0.9767 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9893 0.9778 0.9826 0.9864 0.9896 0.9783 0.9830 0.9868 0.9898 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9904 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9817 0.9857 0.9890 0.9812 0.9808 0.9850 0.9884 0.9911 0.9854 0.9887 0.9913 2.3 0.9901 0.9906 0.9009 0.9916
Aea - Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.1 0,2 0.3 0.4 0.5000 0.5398 0.5793 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 0.6255 0.5120 0.5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.6331 0.6700 0.5199 0.5596 0.5987 0.6368 0.6736 0.5239 0.5636 0.6026 0.5279 0.5675 0.6064 0.6443 0.6808 0.5319 0.5714 0.6103 0.5359 0.5753 0.6141 0.6179 0.6554 0.6517 0.6879 0.6406 0.6480 0.6628 0.6772 0.6844 0.6950 0.7291 0.7611 0.7088 0.7422 0.7734 0.8023 0.8289 0.7224 0.7549 0.7852 0.8133 0.8389 0.7123 0.7454 0.5 0.6915 0.7257 0.7580 0.7881 0.8159 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7054 0.7389 0.7704 0.7995 0.8264 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.8106 0.8365 0.6 0.7 0.7673 0.7764 0.8 0.9 0.7910 0.8186 0.7967 0.8238 0.8051 0.8315 0.8599 0.8810 0.8997 1.0 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8461 0.8686 0.8485 0.8708 0.8508 0.8729 0.8925 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8962 0.8577 0.8790 0.8980 0.8621 0.8830 0.90 15 1.1 1.2 0.8869 0.8888 0.8907 1.3 1.4 0.9049 0.9207 0.9066 0.9222 0.9082 0.9236 0.9099 0.9251 0.9131 0.9279 0.9147 0.9292 0.9162 0.9306 0.9177 0.9319 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9345 0.9463 0.9564 0.9357 0.9474 0.9573 0.9370 0.9484 0.9582 0.9664 0.9732 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9441 0.9545 0.9633 0.9671 0.9738 0.9693 0.9756 1.8 0.9641 0.9649 0.9719 0.9656 0.9678 0.9686 0.9699 0.9706 1.9 0.9713 0.9726 0.9744 0.9750 0.9761 0.9767 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9893 0.9778 0.9826 0.9864 0.9896 0.9783 0.9830 0.9868 0.9898 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9904 0.9798 0.9842 0.9878 0.9803 0.9846 0.9881 0.9817 0.9857 0.9890 0.9812 0.9808 0.9850 0.9884 0.9911 0.9854 0.9887 0.9913 2.3 0.9901 0.9906 0.9009 0.9916
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Question
Transcribed Image Text:Standard Normal Distribution Table (page 2)
Area
Standard Normal Distribution
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0,07
0.08
0.09
0.5000
0.5398
0.5793
0.6179
0.6554
0.5040
0.5438
0.5832
0.6217
0.6591
0.5080
0.5478
0.5871
0.6255
0,6628
0.5120
0.5517
0.5910
0.6293
0.6664
0.5160
0.5557
0.5948
0.5199
0.5596
0.5987
0.6368
0.6736
0.5239
0.5636
0.6026
0.6406
0.6772
0.5279
0.5675
0.6064
0.6443
0.6808
0.5319
0.5714
0.6103
0.6480
0.6844
0,5359
0.5753
0.6141
0,6517
0.6879
0.0
0.1
0.2
0.3
0.4
0.6331
0,6700
0.6915
0.7257
0.7580
0.7881
0.8159
0,6950
0.7291
0.7611
0.7910
0.8186
0.6985
0.7324
0.7642
0.7019
0.7357
0.7673
0.7967
0.8238
0.7054
0.7389
0.7704
0.7995
0.8264
0,7224
0.7549
0.7852
0.8133
0.8389
0,5
0.7088
0.7422
0.7734
0.8023
0.8289
0.7123
0,7454
0.7764
0,8051
0.8315
0.7157
0.7486
0.7794
0.8078
0.8340
0.7190
0,7517
0.7823
0.8106
0.8365
0.6
0,7
0.7939
0.8212
0.8
0.9
0.8438
08665
0.8869
0.9049
0.9207
0,8508
0.8729
0.8925
0.8531
0.8749
0.8944
0.9115
0.9265
0.8577
0.8790
0.8980
0.9147
0.9292
0,8599
0.8810
0.8997
0.9162
0.9306
0.8413
0.8643
0.8461
0.8686
0.8485
0.8708
0,8907
0.8554
0.8770
0.8962
0,9131
0.9279
0.8621
0.8830
0.90 15
1.0
1.1
1.2
0.8849
0.8888
0.9032
0.9192
0.9099
0.9251
0,9177
0.9319
1.3
0,9066
0.9222
0,9082
0.9236
1.4
1.5
1.6
1.7
0.9332
0.9452
0.9554
0.9641
0.9713
0.9345
0.9463
0.9564
0.9649
0.9719
0.9357
0.9474
0.9573
0.9656
0.9726
0.9370
0.9484
0.9582
0.9664
0.9732
0.9382
0.9495
0.9591
0.9671
0.9738
0.9394
0.9505
0.9599
0.9678
0.9744
0.9406
0.9515
0.9608
0.9686
0.9750
0.9418
0.9525
0.9616
0.9693
0.9756
0.9429
0.9535
0.9625
0.9699
0.9761
0.9441
0.9545
0.9633
0.9706
0.9767
1.8
1.9
2.0
2.1
2.2
0.9772
0.9821
0.9861
0,9893
0,9918
0.9778
0.9826
0.9864
0.9783
0.9830
0.9868
0.9788
0.9834
0.9871
0.9901
0.9925
0.9793
0.9838
0.9875
0.9798
0.9842
0.9878
0.9803
0.9846
0,9881
0.9808
0.9850
0.9884
0.9812
0.9854
0.9887
0.9817
0,9857
0,9890
0.9913
0.9934
2.3
0,9896
0.9898
0.9904
0.9906
0.9909
0.9911
0.9916
2.4
0.9920
0.9922
0.9927
0.9929
0.9931
0.9932
0.9936
0.9943
0.9957
0.9968
0.9977
0.9983
0.9948
0.9961
0.9971
0.9979
0.9985
2.5
0.9938
0.9953
0.9965
0.9974
0.9981
0.9940
0.9955
0.9966
0.9941
0.9956
0,9967
0.9976
0.9982
0.9945
0.9959
0.9946
0.9960
0.9970
0.9949
0.9962
0.9972
0.9979
0.9985
0.9951
0,9963
0.9973
0.9952
0.9964
0.9974
2.6
2.7
0.9969
2.8
2.9
0.9975
0.9982
0.9977
0.9984
0.9978
0.9984
0.9980
0.9986
0.9981
0.9986
0.9987
0,9990
0.9993
0.9995
0.9987
0.9991
0.9993
0.9995
0.9997
0.9989
0.9992
0.9994
0.9996
0,9997
0.9990
0.9993
0.9995
0.9997
0.9998
0.9987
0.9988
0.9991
0.9994
0.9996
0.9989
0.9992
0.9994
0.9996
0.9997
0,9989
0.9992
0.9995
3.0
0.9988
0.9992
0.9994
0.9990
0.9993
0,9995
3.1
3.2
3.3
3.4
0.9901
0.9994
0,9995
0,9997
0.9996
0.9997
0.9996
0.9997
0,9996
0.9997
0.9997
0.9997
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0,07
0.08
0.09
Print
Done
swer i O anSwe
Transcribed Image Text:A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts (a) through (c).
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
(a) What sample size should be obtained if he wants to be within 3 percentage points with 96% confidence if he uses an estimate of 52% obtained from a poll?
The sample size is 1170 . (Round up to the nearest integer.)
(b) What sample size should be obtained if he wants to be within 3 percentage points with 96% confidence if he does not use any prior estimates?
The sample size is. (Round up to the nearest integer.)
Standard Normal Distribution Table (page 1)
Area
Standard Normal Distribution
0.00
0.01
0.02
0.03
0,04
0.05
0.06
0.07
0.08
0.09
-34
0.0003
0.0005
0.0007
0.0010
0.0013
0.0003
0.0005
0.0007
0.0003
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0003
0.0004
0.0006
0.0003
0.0004
0.0003
0.0004
0.0005
0.0007
0.0010
0.0002
0.0003
0.0005
0.0007
0.0010
0.0005
0.0006
-3.2
-31
0.0005
0.0008
0.0009
0.0009
0.0009
0.0008
0.0008
0.0008
-30
0.0013
0.0013
0.0012
0.0012
0.0011
0.0011
0.0011
-29
-28
-2.7
-26
-2.5
0.0015
0.0021
0.0029
0.0039
0.0019
0.0018
0.0018
0.0017
0.0016
0.0016
0.0015
0.0021
0.0028
0.0014
0.0026
0.0035
0.0047
0.0062
0.0025
0.0034
0.0045
0.0060
0.0024
0.0033
0.0044
0.0059
0.0023
0.0032
0.0043
0.0020
0.0027
0.0037
0.0049
0.0014
0.0019
0.0026
0.0023
0.0031
0.0022
0.0030
0.0041
0.0055
0.0040
0.0054
0.0038
0.0036
0.0048
0.0057
0.0052
0.0051
0.0082
0.0107
0.0139
0.0078
0.0102
0.0132
0.0170
0.0217
0.0075
0.0099
0.0129
0.0073
0.0096
0.0125
-24
-2.3
-2.2
0.0080
0.0104
0.0136
0.0071
0.0094
0.0069
0.0091
0.0119
0.0068
0.0089
0,0116
0.0066
0.0087
0.0113
0.0064
0.0084
0.0110
-2.1
-2.0
0.0179
0.0228
0.0174
0.0222
0.0166
0.0212
0.0162
0.0207
0.0122
0.0158
0.0202
0.0154
0.0197
0.0150
0.0192
0.0146
0.0188
0.0143
0.0183
0.0287
0.0359
0.0281
0.0351
0.0436
0.0537
0.0655
0.0274
0.0344
0.0427
0.0526
0.0268
0.0336
0.0418
0.0256
0.0322
0.0401
0.0239
0.0301
0.0375
0.0465
0.0571
0.0262
0.0329
0.0250
0.0314
0.0392
0.0485
0.0594
0.0244
0.0307
0.0384
0.0475
0.0582
0.0233
0.0294
0.0367
0.0455
-1.9
-1.8
-1.7
0.0446
0.0409
0.0548
-1.6
-1.5
0.0516
0.0630
0.0505
0.0618
0.0495
0.0606
0.0668
0.0643
0.0559
0.0778
0.0934
0.1112
0.1314
0.1539
0.0708
0.0853
0.1020
0.1210
0.1423
-14
-1.3
0.0808
0.0968
0.0793
0.0764
0.0918
0.1093
0.1292
0.1515
0.0749
0.0735
0.0721
0.0869
0.0694
0.0951
0.1131
0.1335
0.1562
0.0901
0.1075
0.1271
0.1492
0.0885
0.1056
0.1251
0.1469
0.0838
0.1003
0.1190
0.0681
0.0823
0.0985
0.1170
0.1379
-1.2
0.1151
0.1357
0.1587
0.1038
0.1230
0.1446
-11
-1.0
0.1401
0.1660
0.1922
0.2206
0.2514
0.2843
0.1841
02119
0.2420
0.1814
0.2090
0.2389
0.1788
0.2061
0.2358
0.1762
0.2033
0.2327
0.2643
0.2981
0.1736
0.2005
0.2296
0.1711
0.1977
0.2266
0.1635
0.1894
-0.9
0.1685
0.1949
0.2236
0.2546
0.2877
0.1611
0.1867
-0.7
0.2709
0.3050
0.2676
0.3015
0.2177
0.2483
0.2810
02148
0.2451
0.2776
-06
0.2743
0.3085
0.2611
0.2946
0.2578
0.2912
-0.5
-04
-0.3
-0.2
0.3446
0.3821
0.4207
0.3409
0.3783
0.4168
0.3372
0.3745
0.4129
0.4522
0.4920
0.3336
0.3707
0.4090
0.3300
0.3669
0.4052
0.4443
0.4840
0.3264
0.3632
0.4013
0.3228
0.3594
0.3974
0.4364
0.4761
0.3192
0.3557
0.3936
03156
0.3520
0.3897
0.3121
0.3483
0.3859
0.4562
0.4960
-0.1
0.4602
0.5000
0.4483
0.4880
0.4404
0.4801
0.4325
0.4721
0.4286
04681
0.4247
0.4641
-0.0
0,00
0.01
0.02
0,03
0,04
0.05
0,06
0.07
0.08
0,09
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