with a specified characteristic isp=0.24. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ..... (a) Describe the sampling distribution of p. O A. Approximately normal, H = 0.24 and on0.0004 B. Approximately normal, µn = 0.24 and on0.0002 O C. Approximately normal, µa = 0.24 and on 0.0135 (b) What is the probability of obtaining x = 260 or more individuals with the characteristic? P(x2 260) = |(Round to four decimal places as needed.) (c) What is the probability of obtaining x= 210 or fewer individuals with the characteristic? P(xs210) =| (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Suppose a simple random sample of size n= 1000 is obtained from a population whose size is N = 1,000,000 and whose population proportion
with a specified characteristic is p= 0.24. Complete parts (a) through (c) below.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
.....
(a) Describe the sampling distribution of p.
O A. Approximately normal, µA = 0.24 and oa 0.0004
O B. Approximately normal, µa = 0.24 and on 0.0002
O C. Approximately normal, µa = 0.24 and on 0.0135
p
(b) What is the probability of obtaining x = 260 or more individuals with the characteristic?
P(x2 260) =
(Round to four decimal places as needed.)
(c) What is the probability of obtaining x = 210 or fewer individuals with the characteristic?
P(xs210) =
(Round to four decimal places as needed.)
Transcribed Image Text:Suppose a simple random sample of size n= 1000 is obtained from a population whose size is N = 1,000,000 and whose population proportion with a specified characteristic is p= 0.24. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). ..... (a) Describe the sampling distribution of p. O A. Approximately normal, µA = 0.24 and oa 0.0004 O B. Approximately normal, µa = 0.24 and on 0.0002 O C. Approximately normal, µa = 0.24 and on 0.0135 p (b) What is the probability of obtaining x = 260 or more individuals with the characteristic? P(x2 260) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 210 or fewer individuals with the characteristic? P(xs210) = (Round to four decimal places as needed.)
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Standard Normal Distribution
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Standard Nomal Distribution
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0.01
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0.03
0,04
0.05
0.06
0.07
0.08
0.09
-3.4
-33
-3.2
0.0003
0.0005
0.0007
0.0003
0.0005
0.0007
0.0009
0.0013
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0.0006
0.0003
0.0004
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0.0012
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0.0007
0.0010
0.0002
0.0003
0.0005
0.0007
0.0010
0.5000
0.5398
0.5793
0.6179
0.6554
05120
0.5517
0.5910
0.6293
0.5239
0.5636
0.6026
0.6406
0.6772
0.5040
0.5438
0,5832
0.5080
0.5478
0.5871
0.6255
0.6628
0.5160
0.5557
0.5948
0.5199
0.5596
0.5987
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
0.0
0.1
0.2
0.3
0.4
-3.1
-3.0
0.0010
0.0013
0.0008
0.0011
0.0009
0.0008
0.0008
0.0013
0.0012
0.0011
0.6217
0,6591
0.6331
0.6700
0.6368
0.6736
0.0017
0.0023
0.0032
0.0043
0.0057
0.6664
0.0019
0.0026
0.0035
0.0047
0.0062
0.0018
0.0025
0.0034
0.0045
0.0060
0,0018
-29
-28
-2.7
0.0016
0.0022
0.0030
0.0015
0.0021
0.0029
0.0015
0.0021
0.0028
0.0038
0.0051
0.0014
0.0020
0.0027
0.0037
0.0049
0.0016
0.0014
0.0019
0.0026
0.0036
0.0048
0.0024
0.0023
0.0031
0.0041
0.0055
0.6915
0.7257
0.7580
0,6950
0.7291
0.7611
0.7910
0.8186
0.7019
0.7357
0.7673
0.7054
0.7389
0.7704
0.7995
0.8264
0.7088
0.7422
0.7734
0.8023
0.8289
0.7157
0.7486
0.7794
0.8078
0.8340
0.5
0,6985
0.7324
0.7642
0.7939
0.8212
0.7123
0.7454
0.7764
0.8051
0.8315
0.7190
0.0033
0.0044
0.0059
0.7517
0.7823
0.8106
0.8365
0,7224
0.7549
0.7852
0.8133
0.8389
0.6
-2.6
-2.5
0.0040
0.0054
0.0039
0.0052
0.7
0.8
0.9
0.7881
0.8159
0.7967
0.8238
-2.4
-2.3
-2.2
0.0082
0.0107
0.0139
0.0179
0.0228
0.0080
0.0104
0.0136
0.0078
0.0102
0.0132
0.0170
0.0217
0.0075
0.0099
0.0129
0.0166
0.0212
0.0073
0.0096
0.0125
0.0162
0.0207
0.0071
0.0094
0.0122
0.0158
0.0202
0.0069
0.0091
0.0119
0.0154
0.0197
0.0068
0.0089
0.0116
0.0150
0.0192
0.0066
0.0087
0.0113
0.0146
0.0188
0.0064
0.0084
0.0110
0.8485
0.8708
0.8907
0.9082
0.9236
0.8531
08749
0.8944
0.9115
0.9265
0.8621
0.8830
0.9015
0.8461
1.0
1.1
1.2
1.3
1.4
0.8413
0.8643
0.8849
0.9032
0.9192
0.8438
0.8665
0.8869
0.9049
0.9207
0.8508
0.8729
0.8925
0.9099
0.9251
0,8554
0.8770
0.8962
0.9131
0.9279
0.8577
0.8790
0.8980
0.9147
0.9292
0,8599
0,8810
0.8997
0.9162
0.9306
0.8686
-2.1
-2.0
0.0174
0.0222
0.0143
0.0183
0.8888
0.9066
0.9222
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-1.9
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-1.6
-1.5
0.0287
0.0359
0.0446
0.0548
0.0668
0.0281
0.0351
0,0436
0.0537
0.0655
0.0274
0.0344
0.0427
0.0526
0.0643
0.0268
0.0336
0.0418
0.0516
0.0630
0.0262
0.0329
0.0409
0.0256
0.0322
0.0401
0.0495
0.0606
0.0250
0.0314
0.0392
0.0485
0.0594
0.0244
0.0307
0.0384
0.0239
0.0301
0.0375
0.0465
0.0571
0.0233
0.0294
0.0367
1.5
1.6
1.7
0.9394
0.9505
0.9599
0.9678
0.9744
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
0.9406
0.9515
0.9608
0.9418
0.9525
0.9616
0.9429
0,9535
0,9625
0.9699
0.9761
0.9441
0.9545
0.9633
0.0505
0.0618
0.0475
0.0582
0.0455
0.0559
0.9686
0.9750
0.9693
0.9756
0.9706
0.9767
1.8
1.9
0.0808
0.0968
0.1151
0.1357
0.1587
0.0793
0.0951
0.1131
0.0778
0.0934
0.1112
0,0764
0.0918
0.1093
0.0749
0.0901
0.1075
0.0735
0.0885
0.1056
0.0721
0.0869
0.1038
0.0708
0.0853
0.1020
0.1210
0.1423
0.0604
0.0838
0.1003
0.1190
0.1401
0.0681
0.0823
0.0985
-1.4
-1.3
-1.2
-1.1
2.0
2.1
2.2
2.3
2.4
0.9772
0.9821
0.9861
0.9893
0.9918
0.9778
0.9826
0.9864
0.9896
0.9920
0.9783
0.9830
0.9868
0.9898
0.9922
0.9788
0.9834
0.9871
0.9793
0.9838
0.9875
0.9904
0.9927
0.9798
0.9842
0.9878
0.9906
0.9929
0.9803
0.9846
0.9881
0.9909
0.9931
0.9808
0.9850
0.9884
0.9911
0.9932
0.9812
0.9854
0.9887
0.9913
0.9934
0.9817
0.9857
0.9890
0.9916
0.9936
0.1335
0.1562
0.1314
0.1539
0.1292
0.1515
0.1271
0.1492
0.1251
0.1469
0.1230
0.1446
0.1170
0.1379
0.9901
0.9925
-1.0
0.1685
0.1949
0.2236
0.2546
0.2877
0.1660
0.1922
02206
0.1635
0.1894
0.2177
0.2483
0,2810
0.1611
0.1867
02148
0.2451
0.2776
-0.9
0.1841
0.2119
0.2420
0.2743
0.3085
0.1814
0.2090
0.2389
0.1788
0.2061
0.2358
0.2676
0.3015
0.1762
0.2033
0.2327
0.2643
0.2981
0.1736
0.2005
0.2296
0.2611
0.2946
0.1711
0.1977
0.2266
0.2578
0.2912
2.5
2.6
2.7
2.8
2.9
0.9938
0.9953
0.9965
0.9974
0.9981
0.9940
0.9955
0.9966
0.9975
0.9982
0.9943
0.9957
0.9968
0.9977
0.9983
0.9945
0.9959
0.9969
0.9977
0.9984
0.9946
0.9960
0.9970
0.9978
0.9984
0.9948
0.9961
0.9971
0.9979
0,9985
0.9949
0.9962
0.9972
0.9979
0.9985
0.9952
0.9964
0.9974
0.9981
0.9986
0.9951
0.9963
0.9973
-08
0.9941
-0.7
-0.6
-0.5
0.9956
0.9967
0.9976
0.9982
0.2709
0.3050
02514
0.2843
0.9980
0.9986
-0.4
-0.3
-0.2
0.3446
0.3821
0.4207
0.4602
0.5000
0.3409
0.3783
0.4168
0.3372
0.3745
0.4129
0.3336
0.3707
0.4090
0.3300
0.3669
0.4052
0.4443
0.3264
0.3632
0.4013
0.3228
0.3594
0.3974
0.4364
0.4761
0.3192
0.3557
0.3936
0.4325
0.4721
0.3156
0.3520
0.3897
0.4286
0.4681
0.3121
0.3483
0.3859
0.9987
0.9990
0.9993
0.9987
0.9991
0.9994
0.9995
0.9997
3.0
3.1
3.2
3.3
3.4
0.9987
0.9991
0,9993
0.9988
0.9991
0.9988
0.9992
0.9994
0.9989
0.9992
0.9994
0.9996
0.9997
0.9989
0.9992
0.9994
0.9996
0.9997
0.9989
0.9992
0.9995
0.9990
0.9993
0.9995
0.9990
0.9993
0.9995
0.9997
0.9998
0.9994
-0.1
-0.0
0.4562
0.4960
0.4522
0.4920
0.4483
0.4880
0.4404
0.4801
0.4247
0.4641
0.9995
0.9997
0.9995
0.9997
0.9996
0.9997
0.9996
0.9997
0.9996
0.9997
0.9996
0.9997
0.4840
0,00
0.01
0.02
0,03
0.04
0,05
0.06
0.07
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0.00
0.01
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0.07
0.08
0.09
Transcribed Image Text:Page 1 Page 2 Asea Area Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 Standard Nomal Distribution 0.00 0.01 0,02 0.03 0,04 0.05 0.06 0.07 0.08 0.09 -3.4 -33 -3.2 0.0003 0.0005 0.0007 0.0003 0.0005 0.0007 0.0009 0.0013 0.0003 0.0005 0.0006 0.0003 0.0004 0.0006 0.0009 0.0012 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0008 0.0011 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0004 0.0005 0.0007 0.0010 0.0002 0.0003 0.0005 0.0007 0.0010 0.5000 0.5398 0.5793 0.6179 0.6554 05120 0.5517 0.5910 0.6293 0.5239 0.5636 0.6026 0.6406 0.6772 0.5040 0.5438 0,5832 0.5080 0.5478 0.5871 0.6255 0.6628 0.5160 0.5557 0.5948 0.5199 0.5596 0.5987 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 0.0 0.1 0.2 0.3 0.4 -3.1 -3.0 0.0010 0.0013 0.0008 0.0011 0.0009 0.0008 0.0008 0.0013 0.0012 0.0011 0.6217 0,6591 0.6331 0.6700 0.6368 0.6736 0.0017 0.0023 0.0032 0.0043 0.0057 0.6664 0.0019 0.0026 0.0035 0.0047 0.0062 0.0018 0.0025 0.0034 0.0045 0.0060 0,0018 -29 -28 -2.7 0.0016 0.0022 0.0030 0.0015 0.0021 0.0029 0.0015 0.0021 0.0028 0.0038 0.0051 0.0014 0.0020 0.0027 0.0037 0.0049 0.0016 0.0014 0.0019 0.0026 0.0036 0.0048 0.0024 0.0023 0.0031 0.0041 0.0055 0.6915 0.7257 0.7580 0,6950 0.7291 0.7611 0.7910 0.8186 0.7019 0.7357 0.7673 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.8023 0.8289 0.7157 0.7486 0.7794 0.8078 0.8340 0.5 0,6985 0.7324 0.7642 0.7939 0.8212 0.7123 0.7454 0.7764 0.8051 0.8315 0.7190 0.0033 0.0044 0.0059 0.7517 0.7823 0.8106 0.8365 0,7224 0.7549 0.7852 0.8133 0.8389 0.6 -2.6 -2.5 0.0040 0.0054 0.0039 0.0052 0.7 0.8 0.9 0.7881 0.8159 0.7967 0.8238 -2.4 -2.3 -2.2 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0078 0.0102 0.0132 0.0170 0.0217 0.0075 0.0099 0.0129 0.0166 0.0212 0.0073 0.0096 0.0125 0.0162 0.0207 0.0071 0.0094 0.0122 0.0158 0.0202 0.0069 0.0091 0.0119 0.0154 0.0197 0.0068 0.0089 0.0116 0.0150 0.0192 0.0066 0.0087 0.0113 0.0146 0.0188 0.0064 0.0084 0.0110 0.8485 0.8708 0.8907 0.9082 0.9236 0.8531 08749 0.8944 0.9115 0.9265 0.8621 0.8830 0.9015 0.8461 1.0 1.1 1.2 1.3 1.4 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.9049 0.9207 0.8508 0.8729 0.8925 0.9099 0.9251 0,8554 0.8770 0.8962 0.9131 0.9279 0.8577 0.8790 0.8980 0.9147 0.9292 0,8599 0,8810 0.8997 0.9162 0.9306 0.8686 -2.1 -2.0 0.0174 0.0222 0.0143 0.0183 0.8888 0.9066 0.9222 0.9177 0.9319 -1.9 -1.8 -1.7 -1.6 -1.5 0.0287 0.0359 0.0446 0.0548 0.0668 0.0281 0.0351 0,0436 0.0537 0.0655 0.0274 0.0344 0.0427 0.0526 0.0643 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0256 0.0322 0.0401 0.0495 0.0606 0.0250 0.0314 0.0392 0.0485 0.0594 0.0244 0.0307 0.0384 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 1.5 1.6 1.7 0.9394 0.9505 0.9599 0.9678 0.9744 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 0.9406 0.9515 0.9608 0.9418 0.9525 0.9616 0.9429 0,9535 0,9625 0.9699 0.9761 0.9441 0.9545 0.9633 0.0505 0.0618 0.0475 0.0582 0.0455 0.0559 0.9686 0.9750 0.9693 0.9756 0.9706 0.9767 1.8 1.9 0.0808 0.0968 0.1151 0.1357 0.1587 0.0793 0.0951 0.1131 0.0778 0.0934 0.1112 0,0764 0.0918 0.1093 0.0749 0.0901 0.1075 0.0735 0.0885 0.1056 0.0721 0.0869 0.1038 0.0708 0.0853 0.1020 0.1210 0.1423 0.0604 0.0838 0.1003 0.1190 0.1401 0.0681 0.0823 0.0985 -1.4 -1.3 -1.2 -1.1 2.0 2.1 2.2 2.3 2.4 0.9772 0.9821 0.9861 0.9893 0.9918 0.9778 0.9826 0.9864 0.9896 0.9920 0.9783 0.9830 0.9868 0.9898 0.9922 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 0.9906 0.9929 0.9803 0.9846 0.9881 0.9909 0.9931 0.9808 0.9850 0.9884 0.9911 0.9932 0.9812 0.9854 0.9887 0.9913 0.9934 0.9817 0.9857 0.9890 0.9916 0.9936 0.1335 0.1562 0.1314 0.1539 0.1292 0.1515 0.1271 0.1492 0.1251 0.1469 0.1230 0.1446 0.1170 0.1379 0.9901 0.9925 -1.0 0.1685 0.1949 0.2236 0.2546 0.2877 0.1660 0.1922 02206 0.1635 0.1894 0.2177 0.2483 0,2810 0.1611 0.1867 02148 0.2451 0.2776 -0.9 0.1841 0.2119 0.2420 0.2743 0.3085 0.1814 0.2090 0.2389 0.1788 0.2061 0.2358 0.2676 0.3015 0.1762 0.2033 0.2327 0.2643 0.2981 0.1736 0.2005 0.2296 0.2611 0.2946 0.1711 0.1977 0.2266 0.2578 0.2912 2.5 2.6 2.7 2.8 2.9 0.9938 0.9953 0.9965 0.9974 0.9981 0.9940 0.9955 0.9966 0.9975 0.9982 0.9943 0.9957 0.9968 0.9977 0.9983 0.9945 0.9959 0.9969 0.9977 0.9984 0.9946 0.9960 0.9970 0.9978 0.9984 0.9948 0.9961 0.9971 0.9979 0,9985 0.9949 0.9962 0.9972 0.9979 0.9985 0.9952 0.9964 0.9974 0.9981 0.9986 0.9951 0.9963 0.9973 -08 0.9941 -0.7 -0.6 -0.5 0.9956 0.9967 0.9976 0.9982 0.2709 0.3050 02514 0.2843 0.9980 0.9986 -0.4 -0.3 -0.2 0.3446 0.3821 0.4207 0.4602 0.5000 0.3409 0.3783 0.4168 0.3372 0.3745 0.4129 0.3336 0.3707 0.4090 0.3300 0.3669 0.4052 0.4443 0.3264 0.3632 0.4013 0.3228 0.3594 0.3974 0.4364 0.4761 0.3192 0.3557 0.3936 0.4325 0.4721 0.3156 0.3520 0.3897 0.4286 0.4681 0.3121 0.3483 0.3859 0.9987 0.9990 0.9993 0.9987 0.9991 0.9994 0.9995 0.9997 3.0 3.1 3.2 3.3 3.4 0.9987 0.9991 0,9993 0.9988 0.9991 0.9988 0.9992 0.9994 0.9989 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9994 0.9996 0.9997 0.9989 0.9992 0.9995 0.9990 0.9993 0.9995 0.9990 0.9993 0.9995 0.9997 0.9998 0.9994 -0.1 -0.0 0.4562 0.4960 0.4522 0.4920 0.4483 0.4880 0.4404 0.4801 0.4247 0.4641 0.9995 0.9997 0.9995 0.9997 0.9996 0.9997 0.9996 0.9997 0.9996 0.9997 0.9996 0.9997 0.4840 0,00 0.01 0.02 0,03 0.04 0,05 0.06 0.07 0,08 0.09 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
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