Click here to view the standard normal distribution table (page 1), Click here to view the standard normal distribution table (page 2). (c) What is the probability that a random sample of 30 pregnancies has a mean gestation period of 261 days or less? The probability that the mean of a random sample of 30 pregnancies is less than 261 days is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) O A. If 100 independent random samples of size n= 30 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or less. O B. If 100 independent random samples of size n= 30 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or more. O C. If 100 independent random samples of size n= 30 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 261 days. (d) What is the probability that a random sample of 64 pregnancies has a mean gestation period of 261 days or less? The probability that the mean of a random sample of 64 pregnancies is less than 261 days is. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) O A. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 261 days. O B. If 100 independent random samples of size n = 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or less. O C. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or more.

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
Area
Page 1
Page 2
Area-
Table V (continued)
Table V
Standard Normal Distribution
Standard Normal Distribution
0,04
0,00
0,01
0.02
0.03
0.04
0,05
0,06
0.07
0.08
0.09
0,00
0,01
0,03
0,05
0,06
0,08
0,09
0.5120
0.5517
0.5910
0.6293
0,6664
0.5160
0.5557
0.5948
0.6331
0.6700
0.5199
0.5596
0.5000
0.5398
0.5793
0.6179
0.6554
0.5040
0.5438
0,5832
0,6217
0.6591
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
0.5080
0.0003
0,0005
0.0003
0,0004
0.0006
0.0008
-3.4
-3.3
0.0003
0.0005
0.0007
0.0010
0.0003
0.0005
0.0003
0.0004
0,0003
0.0004
0.0005
0.0007
0,0010
0,0003
0.0003
0.0004
0,0003
0.0002
0.0003
0.0005
0,0007
0.0010
0.5478
0.5871
0.6255
0,6628
0.0004
0.0004
0.1
0.5987
0.6368
0.6736
0,2
-3.2
-3.1
-3,0
0.0007
0.0009
0.0013
0.0006
0.0009
0.0012
0.0005
0.0008
0.0006
0.0006
0.0006
0,0009
0.0013
0.3
0.4
0.0008
0.0008
0.0013
0.0012
0.0011
0,0011
0.0011
0.5
0.6
0.7
0.6915
0.7257
0.7580
0.7881
0.8159
0,6950
0.7291
0.7611
0,6985
0.7324
0.7642
0.7939
0.8212
0.7019
0.7357
0.7673
0.7967
0.8238
0.7123
0.7454
0.7764
0.8051
0.8315
0.7157
0.7486
0.7794
0.8078
0.8340
0.7054
-2.9
-2.8
-2.7
-2.6
-2.5
0.0019
0.0026
0,0035
0.0047
0.0062
0,0018
0.0025
0.0034
0.0045
0.0060
0,0018
0.0024
0.0033
0.0044
0.0017
0,0023
0.0032
0,0016
0.0023
0.0031
0.0041
0.0055
0.0016
0.0022
0.0030
0.0040
0.0054
0,0015
0,0021
0.0029
0.0039
0.0052
0.0015
0.0021
0,0028
0,0038
0.0014
0,0020
0.0027
0.0037
0,0014
0,0019
0.0026
0.0036
0.0048
0.7088
0.7422
0.7734
0.8023
0.8289
0.7190
0.7517
0,7823
0.7224
0.7549
0.7852
0.8133
0.8389
0.7389
0.7704
0.0043
0.0057
0.8
0.7910
0.7995
0.8106
0.0059
0.0051
0,0049
0.9
0.8186
0.8264
0.8365
0.8413
0.8643
0.8849
0.9032
0.9192
0,8438
0.8665
0.8508
0.8729
0.8925
0.9099
0.8554
0.8770
0.8962
0.9131
0.9279
1.0
0.8461
0.8485
0.8531
0.8577
0,8599
0.8621
0.8830
0.0082
0.0107
0,0139
0.0078
0.0102
0.0132
0.0170
0.0217
0.0071
0.0094
0.0122
0.0158
0.0202
0.0075
0.0073
0.0064
-2.4
-2.3
0.0080
0.0104
0.0136
0.0069
0.0091
0.0068
0.0089
0.0066
0.0087
0.8708
0.8907
0.9082
0.9236
0.8790
0.8980
0.9147
0.9292
0.8810
0.8997
0.9162
0,9306
1.1
0.8686
0.8749
0.8944
0.9115
0.9265
0,0099
0.0096
0.0084
-2,2
-2.1
-2.0
0.0129
0.0166
0.0212
0.0125
0.0162
0,0207
0,0119
0,0154
0.0113
0.0146
0.0188
1.2
1.3
1.4
0.9015
0.9177
0.9319
0,8869
0.8888
0.0179
0.0228
0.0174
0.0222
0,0116
0,0150
0.0192
0.0110
0.0143
0.0183
0.9049
0.9207
0,9066
0.0197
0.9222
0.9251
0.0256
0.0322
0.0401
0.0495
0.0244
0.0307
0.0384
0.0239
0.0301
0.0375
0.0465
0.0571
1.5
1.6
1.7
0.9332
0.9452
0.9554
0.9345
0.9463
0.9564
0.9357
0.9474
0.9573
0.9656
0.9726
0.9370
0.9484
0.9582
0.9664
0.9732
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
0.9382
0.9495
-1.9
-1.8
-1.7
0,0287
0,0359
0,0446
0.0548
0.0281
0.0351
0.0436
0.0537
0.0655
0.0268
0.0336
0.0418
0.0516
0.0630
0.0262
0.0329
0.0409
0.0505
0.0618
0.0250
0.0314
0,0392
0.9394
0.9505
0.9599
0.9678
0.9744
0.9406
0.9515
0.9608
0.0274
0.0344
0.0233
0.0294
0.0367
0.0455
0.0559
0.9591
0.0427
0.0526
-1.6
-1.5
0.0485
0.0594
0.0475
0.0582
1.8
1.9
0.9641
0.9713
0.9671
0.9738
0.9649
0.9686
0.0668
0.0643
0.0606
0.9719
0.9750
0.0778
0.0934
0.1112
0.1314
0.1539
0.0749
0.0901
0.0808
0,0968
0.1151
0.1357
0.1587
0.0793
0.0951
0.1131
0.1335
0.1562
0.0721
0,0869
0.1038
0.1230
0.1446
0.9778
0.9826
0.9864
0.9896
0.9920
0.9783
0.9830
0.9868
0.9898
0.9922
0.9808
0.9850
0.9884
0.9911
0.9932
0.0764
0.0918
0.0735
0.0885
0.0708
0.0681
0.0823
0,0985
0.1170
0.1379
0.9788
0.9834
0.9871
0.9901
0.9925
0.9798
0.9842
0.9878
0.9906
0.9803
0.9817
-1.4
-1.3
-1.2
-1.1
0.0694
0,0838
0,1003
0,1190
0.1401
2.0
0.9772
0.9793
0.9812
0,0853
0.1020
0.1210
0,1423
0.9838
0.9875
0.9904
0.9927
0.9854
0.9887
0.9913
0.9934
2.1
0.9821
0.9846
0.9857
0.1093
0.1292
0.1515
0.1075
0.1271
0.1492
0.9861
0.9893
0.9918
0.1056
0.9881
0.9909
0.9931
0.9890
0.9916
0.9936
2.2
0.1251
0.1469
2.3
-1.0
2.4
0.9929
-0,9
-0,8
-0.7
-0,6
-0.5
0.1841
02119
02420
0,2743
0.3085
0.1814
0,2090
0.2389
0.2709
0.3050
0.1788
0.2061
0,2358
0.2676
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
0.1685
0.1949
0.2236
0,2546
0.2877
0.1660
0.1922
0.2206
0.2514
0.2843
0.1635
0.1894
0.2177
0,2483
0.1611
0.1867
0.2148
0.2451
0,2776
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
0.9941
0.9956
0.9967
0.9976
0,9982
0.9943
0.9957
0.9968
0.9945
0.9959
0.9969
0.9946
0.9960
0.9970
0.9978
0.9984
0.9948
0.9961
0.9971
0.9979
0.9985
0.9951
0.9963
0.9952
0.9964
0.9974
0.9981
0,9986
0.9949
0.9962
0.9972
0.9979
0,9985
0.9973
0.9980
0.9977
0.9983
0.9977
0.9984
0.3015
0.2810
0.9986
0.3372
0.3745
0.3446
0,3821
0.4207
0.4602
0,5000
0.3228
0.3594
0.3156
0.3520
0,3897
0,4286
0,4681
0.3121
0.3483
0.3859
0.4247
0.4641
-0,4
0.3409
0.3783
0.3336
0.3707
0.3300
0.3669
0.4052
0.3264
0.3632
0.4013
0,4404
0.4801
0.3192
0.3557
0.3936
0.9987
0,9990
0,9993
0,9995
0.9997
0.9987
0.9991
0,9993
0,9995
0.9997
3,0
0.9987
0,9988
0.9988
0.9992
0.9994
0.9996
0.9997
0.9989
0.9989
0.9989
0.9990
0.9990
-0.3
0,9992
0.9994
0.9996
0.9992
0.9995
0.9996
0.9997
0.9993
0.9995
0.4129
0.4522
0.4920
0.4090
0.4483
0.4880
0.3974
0.4364
0.4761
3.1
3.2
3.3
0.9991
0,9994
0,9995
0.9997
0,9991
0.9994
0,9996
0.9992
0.9994
0.9996
0.9997
0.9993
0.9995
0.9996
0.9997
-0,2
0.4168
0.4562
0.4960
0.4443
0.4840
0,4325
0.4721
-0.1
0.9997
0.9998
-0,0
3.4
0.9997
0.9997
Transcribed Image Text:Area Page 1 Page 2 Area- Table V (continued) Table V Standard Normal Distribution Standard Normal Distribution 0,04 0,00 0,01 0.02 0.03 0.04 0,05 0,06 0.07 0.08 0.09 0,00 0,01 0,03 0,05 0,06 0,08 0,09 0.5120 0.5517 0.5910 0.6293 0,6664 0.5160 0.5557 0.5948 0.6331 0.6700 0.5199 0.5596 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0,5832 0,6217 0.6591 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 0.5080 0.0003 0,0005 0.0003 0,0004 0.0006 0.0008 -3.4 -3.3 0.0003 0.0005 0.0007 0.0010 0.0003 0.0005 0.0003 0.0004 0,0003 0.0004 0.0005 0.0007 0,0010 0,0003 0.0003 0.0004 0,0003 0.0002 0.0003 0.0005 0,0007 0.0010 0.5478 0.5871 0.6255 0,6628 0.0004 0.0004 0.1 0.5987 0.6368 0.6736 0,2 -3.2 -3.1 -3,0 0.0007 0.0009 0.0013 0.0006 0.0009 0.0012 0.0005 0.0008 0.0006 0.0006 0.0006 0,0009 0.0013 0.3 0.4 0.0008 0.0008 0.0013 0.0012 0.0011 0,0011 0.0011 0.5 0.6 0.7 0.6915 0.7257 0.7580 0.7881 0.8159 0,6950 0.7291 0.7611 0,6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0.7967 0.8238 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 0.7486 0.7794 0.8078 0.8340 0.7054 -2.9 -2.8 -2.7 -2.6 -2.5 0.0019 0.0026 0,0035 0.0047 0.0062 0,0018 0.0025 0.0034 0.0045 0.0060 0,0018 0.0024 0.0033 0.0044 0.0017 0,0023 0.0032 0,0016 0.0023 0.0031 0.0041 0.0055 0.0016 0.0022 0.0030 0.0040 0.0054 0,0015 0,0021 0.0029 0.0039 0.0052 0.0015 0.0021 0,0028 0,0038 0.0014 0,0020 0.0027 0.0037 0,0014 0,0019 0.0026 0.0036 0.0048 0.7088 0.7422 0.7734 0.8023 0.8289 0.7190 0.7517 0,7823 0.7224 0.7549 0.7852 0.8133 0.8389 0.7389 0.7704 0.0043 0.0057 0.8 0.7910 0.7995 0.8106 0.0059 0.0051 0,0049 0.9 0.8186 0.8264 0.8365 0.8413 0.8643 0.8849 0.9032 0.9192 0,8438 0.8665 0.8508 0.8729 0.8925 0.9099 0.8554 0.8770 0.8962 0.9131 0.9279 1.0 0.8461 0.8485 0.8531 0.8577 0,8599 0.8621 0.8830 0.0082 0.0107 0,0139 0.0078 0.0102 0.0132 0.0170 0.0217 0.0071 0.0094 0.0122 0.0158 0.0202 0.0075 0.0073 0.0064 -2.4 -2.3 0.0080 0.0104 0.0136 0.0069 0.0091 0.0068 0.0089 0.0066 0.0087 0.8708 0.8907 0.9082 0.9236 0.8790 0.8980 0.9147 0.9292 0.8810 0.8997 0.9162 0,9306 1.1 0.8686 0.8749 0.8944 0.9115 0.9265 0,0099 0.0096 0.0084 -2,2 -2.1 -2.0 0.0129 0.0166 0.0212 0.0125 0.0162 0,0207 0,0119 0,0154 0.0113 0.0146 0.0188 1.2 1.3 1.4 0.9015 0.9177 0.9319 0,8869 0.8888 0.0179 0.0228 0.0174 0.0222 0,0116 0,0150 0.0192 0.0110 0.0143 0.0183 0.9049 0.9207 0,9066 0.0197 0.9222 0.9251 0.0256 0.0322 0.0401 0.0495 0.0244 0.0307 0.0384 0.0239 0.0301 0.0375 0.0465 0.0571 1.5 1.6 1.7 0.9332 0.9452 0.9554 0.9345 0.9463 0.9564 0.9357 0.9474 0.9573 0.9656 0.9726 0.9370 0.9484 0.9582 0.9664 0.9732 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 0.9382 0.9495 -1.9 -1.8 -1.7 0,0287 0,0359 0,0446 0.0548 0.0281 0.0351 0.0436 0.0537 0.0655 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0505 0.0618 0.0250 0.0314 0,0392 0.9394 0.9505 0.9599 0.9678 0.9744 0.9406 0.9515 0.9608 0.0274 0.0344 0.0233 0.0294 0.0367 0.0455 0.0559 0.9591 0.0427 0.0526 -1.6 -1.5 0.0485 0.0594 0.0475 0.0582 1.8 1.9 0.9641 0.9713 0.9671 0.9738 0.9649 0.9686 0.0668 0.0643 0.0606 0.9719 0.9750 0.0778 0.0934 0.1112 0.1314 0.1539 0.0749 0.0901 0.0808 0,0968 0.1151 0.1357 0.1587 0.0793 0.0951 0.1131 0.1335 0.1562 0.0721 0,0869 0.1038 0.1230 0.1446 0.9778 0.9826 0.9864 0.9896 0.9920 0.9783 0.9830 0.9868 0.9898 0.9922 0.9808 0.9850 0.9884 0.9911 0.9932 0.0764 0.0918 0.0735 0.0885 0.0708 0.0681 0.0823 0,0985 0.1170 0.1379 0.9788 0.9834 0.9871 0.9901 0.9925 0.9798 0.9842 0.9878 0.9906 0.9803 0.9817 -1.4 -1.3 -1.2 -1.1 0.0694 0,0838 0,1003 0,1190 0.1401 2.0 0.9772 0.9793 0.9812 0,0853 0.1020 0.1210 0,1423 0.9838 0.9875 0.9904 0.9927 0.9854 0.9887 0.9913 0.9934 2.1 0.9821 0.9846 0.9857 0.1093 0.1292 0.1515 0.1075 0.1271 0.1492 0.9861 0.9893 0.9918 0.1056 0.9881 0.9909 0.9931 0.9890 0.9916 0.9936 2.2 0.1251 0.1469 2.3 -1.0 2.4 0.9929 -0,9 -0,8 -0.7 -0,6 -0.5 0.1841 02119 02420 0,2743 0.3085 0.1814 0,2090 0.2389 0.2709 0.3050 0.1788 0.2061 0,2358 0.2676 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 0.1685 0.1949 0.2236 0,2546 0.2877 0.1660 0.1922 0.2206 0.2514 0.2843 0.1635 0.1894 0.2177 0,2483 0.1611 0.1867 0.2148 0.2451 0,2776 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 0.9941 0.9956 0.9967 0.9976 0,9982 0.9943 0.9957 0.9968 0.9945 0.9959 0.9969 0.9946 0.9960 0.9970 0.9978 0.9984 0.9948 0.9961 0.9971 0.9979 0.9985 0.9951 0.9963 0.9952 0.9964 0.9974 0.9981 0,9986 0.9949 0.9962 0.9972 0.9979 0,9985 0.9973 0.9980 0.9977 0.9983 0.9977 0.9984 0.3015 0.2810 0.9986 0.3372 0.3745 0.3446 0,3821 0.4207 0.4602 0,5000 0.3228 0.3594 0.3156 0.3520 0,3897 0,4286 0,4681 0.3121 0.3483 0.3859 0.4247 0.4641 -0,4 0.3409 0.3783 0.3336 0.3707 0.3300 0.3669 0.4052 0.3264 0.3632 0.4013 0,4404 0.4801 0.3192 0.3557 0.3936 0.9987 0,9990 0,9993 0,9995 0.9997 0.9987 0.9991 0,9993 0,9995 0.9997 3,0 0.9987 0,9988 0.9988 0.9992 0.9994 0.9996 0.9997 0.9989 0.9989 0.9989 0.9990 0.9990 -0.3 0,9992 0.9994 0.9996 0.9992 0.9995 0.9996 0.9997 0.9993 0.9995 0.4129 0.4522 0.4920 0.4090 0.4483 0.4880 0.3974 0.4364 0.4761 3.1 3.2 3.3 0.9991 0,9994 0,9995 0.9997 0,9991 0.9994 0,9996 0.9992 0.9994 0.9996 0.9997 0.9993 0.9995 0.9996 0.9997 -0,2 0.4168 0.4562 0.4960 0.4443 0.4840 0,4325 0.4721 -0.1 0.9997 0.9998 -0,0 3.4 0.9997 0.9997
The length of human pregnancies is approximately normal with mean µ = 266 days and standard deviation o = 16 days. Complete parts (a) through (f).
Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2).
.... .
(c) What is the probability that a random sample of 30 pregnancies has a mean gestation period of 261 days or less?
The probability that the mean of a random sample of 30 pregnancies is less than 261 days is
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box within your choice.
(Round to the nearest integer as needed.)
O A. If 100 independent random samples of size n= 30 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 261 days or less.
B. If 100 independent random samples of size n= 30 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 261 days or more.
C. If 100 independent random samples of size n = 30 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of exactly 261 days.
(d) What is the probability that a random sample of 64 pregnancies has a mean gestation period of 261 days or less?
The probability that the mean of a random sample of 64 pregnancies is less than 261 days is
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box within your choice.
(Round to the nearest integer as needed.)
O A. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of exactly 261 days.
B. If 100 independent random samples of sizen=64 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 261 days or less.
C. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 261 days or more.
Transcribed Image Text:The length of human pregnancies is approximately normal with mean µ = 266 days and standard deviation o = 16 days. Complete parts (a) through (f). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). .... . (c) What is the probability that a random sample of 30 pregnancies has a mean gestation period of 261 days or less? The probability that the mean of a random sample of 30 pregnancies is less than 261 days is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) O A. If 100 independent random samples of size n= 30 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or less. B. If 100 independent random samples of size n= 30 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or more. C. If 100 independent random samples of size n = 30 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 261 days. (d) What is the probability that a random sample of 64 pregnancies has a mean gestation period of 261 days or less? The probability that the mean of a random sample of 64 pregnancies is less than 261 days is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) O A. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 261 days. B. If 100 independent random samples of sizen=64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or less. C. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or more.
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