The mean incubation time for a type of fertilized egg kept at a certain temperature is 23 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (c) Find and interpret the probability that a randomly selected fertilized egg takes over 25 days to hatch. The probability that a randomly selected fertilized egg takes over 25 days to hatch is. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. O A. The average proportion of the way to hatching of all eggs fertilized more than 25 days ago is (Round to two decimal places as needed.) O B. In every group of 100 fertilized eggs, eggs will hatch in more than 25 days. (Round to the nearest integer as needed.) O C. If 100 fertilized eggs were randomly selected, of them would be expected to take more than 25 days hatch. (Round to the nearest integer as needed.) (d) Find and interpret the probability that a randomly selected fertilized egg hatches between 22 and 23 days. The probability that a randomly selected fertilized egg hatches between 22 and 23 days is. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. O A. In every group of 100 fertilized eggs, eggs will hatch between 22 and 23 days. (Round to the nearest integer as needed.) O B. The average proportion of the way to hatching of all eggs fertilized between 22 and 23 days is. (Round to two decimal places as needed.) O C. If 100 fertilized eggs were randomly selected, of them would be expected to hatch between 22 and 23 days. (Round to the nearest integer as needed.) (e) Would it be unusual for an egg to hatch in less than 20 days? Why? The probability of an egg hatching in less than 20 days is, so it be unusual, since the probability is than 0.05. (Round to four decimal places as peeded

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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Related questions
Question
Standard Normal Distribution Table (page 1)
Standard Normal Distribution Table (page 2)
Area -
Area
Standard Normal Distribution
Standard Normal Distribution
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
0.5000
0.5398
0.5793
0.6179
0.6554
0.5040
0.5438
0.5832
0.5120
0.5517
0.5910
0.5160
0.5557
0.5948
0.5199
0.5596
0.5987
0.6368
0.6736
0.5239
0.5636
0.6026
0.5319
0.5714
0.6103
0.0003
0.0005
0.0006
0.5080
0.5478
0.5279
0.5675
0.6064
0.5359
0.5753
0.0003
0.0003
0.0003
0.0004
0.0005
0.0008
0.0011
0.0002
0.0003
0.0005
0.0
-3.4
-3.3
-3.2
0.0003
0.0005
0.0007
0.0003
0.0005
0.0007
0.0004
0.0006
0.0003
0.0004
0.0006
0.0004
0.0006
0.0003
0.0004
0.0003
0.0004
0.0005
0.1
0.2
0.0006
0.5871
0.6141
0.6255
0.0009
0.0012
0.0008
0.0011
0.6517
0.6879
0.3
0.6217
0.6293
0.6664
0.6331
0.6700
0.6406
0.6443
0.6808
0.6480
-3.1
-3.0
0.0009
0.0013
0.0010
0.0009
0.0013
0.0008
0.0012
0.0008
0.0011
0.0007
0.0010
0.0007
0.0010
0.0013
0.4
0.6591
0.6628
0.6772
0.6844
0.6985
0.7324
0.7642
0.7123
0.7454
0.7764
0.7190
0.7517
0.7823
0.6915
0.0019
0.0026
0.0035
0.0047
0.0062
0.0018
0.0024
0.0033
0.6950
0.7291
0.7611
0.7019
0.7357
0.7673
0.7054
0.7389
0.7704
0.7157
0.7486
0.7794
0.8078
0.8340
0.7224
0.7549
0.7852
0.5
-29
-28
-2.7
0.0018
0.0025
0.0034
0.0017
0.0023
0.0032
0.0016
0.0023
0.0031
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
0.0014
0.0020
0.0027
0.0014
0.0019
0.0026
0.0036
0.7088
0.7422
0.7734
0.7257
0.7580
0.6
0.7
0.7881
0.7967
0.8238
0.7995
0.8023
0.8289
0.8133
0.8389
0.8
0.7910
0.8186
0.7939
0.8212
0.8051
0.8315
0.8106
0.0045
0.0060
0.0038
-2.6
-2.5
0.0044
0.0043
0.0057
0.0041
0.0037
0.0059
0.0055
0.0051
0.0049
0.0048
0.9
0.8159
0.8264
0.8365
0.8413
0.8643
0.8849
0.9032
0.9192
0.8461
0.8686
0.8485
0.8708
0.8907
0.8599
0.8810
0.8997
0.8438
0.0071
0.0094
0.0122
1.0
1.1
1.2
1.3
1.4
0.8508
0.8729
0.8925
0.9099
0.9251
0.8531
0.8749
0.8944
0.0082
0.0107
0.0139
0.0080
0.0104
0.0136
0.0174
0.8554
0.8770
0.8577
0.8790
0.8980
0.8621
0.8830
0.90 15
0.0075
0.0069
0.0091
0.0119
0.0154
0.0197
0.0066
0.0087
0.0113
-2.4
-2.3
-2.2
0.0078
0.0102
0.0132
0.0073
0.0096
0.0125
0.0068
0.0089
0.0116
0.0064
0.0084
0.0099
0.8665
0.0129
0.0110
0.8869
0.8888
0.8962
0.9082
0.9236
0.9115
0.9265
0.9131
0.0150
0.0192
0.9049
-2.1
-2.0
0.0179
0.0228
0.0170
0.0217
0.0158
0.0202
0.9066
0.9222
0.9147
0.9292
0.9162
0.9306
0.9177
0.9319
0.0166
0.0162
0.0146
0.0188
0.0143
0.0183
0.0222
0.0212
0.0207
0.9207
0.9279
-1.9
-1.8
-1.7
0.0287
0.0359
0.0446
0.0281
0.0351
0.0436
0.0274
0.0344
0.0427
0.0268
0.0336
0.0418
0.0516
0.0262
0.0329
0.0409
0.0256
0.0322
0.0401
0.0495
0.0250
0.0314
0.0392
0.0244
0.0307
0.0384
0.0475
0.0582
0.0239
0.0301
0.0375
0.0233
0.0294
0.0367
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
0.9382
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
0.0505
0.0618
0.9678
0.9744
0.9693
0.9756
1.8
0.9641
0.9713
0.9649
0.9719
0.9656
0.9726
0.9664
0.9732
0.9671
0.9686
0.9699
0.9706
-1.6
-1.5
0.0548
0.0668
0.0537
0.0655
0.0485
0.0594
0.0465
0.0526
0.0643
0.0455
0.0630
0.0606
0.0571
0.0559
1.9
0.9738
0.9750
0.9761
0.9767
-1.4
-1.3
-1.2
0.0808
0.0968
0.1151
0.1357
0.1587
0.0793
0.0951
0.1131
0.1335
0.1562
0.0778
0.0934
0.1112
0.1314
0.1539
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
0.0694
0.0838
0.1003
0.1190
0.0681
0.0823
0.0985
2.0
2.1
2.2
0.9772
0.9821
0.9861
0.9778
0.9826
0.9864
0.9783
0.9830
0.9868
0.9788
0.9834
0.9871
0.9793
0.9838
0.9875
0.9798
0.9842
0.9803
0.9846
0.9881
0.9808
0.9850
0.9884
0.9812
0.9854
0.9887
0.9817
0.9857
0.9878
0.9890
0.1271
0.1492
2.3
2.4
0.9893
0.9918
0.9901
0.9925
0.9906
0.9929
0.9909
0.9931
0.9911
0.9932
0.9913
0.9934
0.9916
0.9936
0.9896
-1.1
-1.0
0.1251
0.1469
0.1230
0.1446
0.9898
0.9922
0.9904
0.9927
0.1292
0.1210
0.1170
0.1515
0.1423
0.1401
0.1379
0.9920
-0.9
-08
-0.7
0.1841
0.2119
0.2420
0.1814
0.2090
0.2389
0.1788
0.2061
0.2358
0.2676
0.1762
0.2033
0.2327
0.1736
0.2005
0.2296
0.1711
0.1977
0.2266
0.1685
0.1949
0.2236
0.2546
0.1660
0.1922
0.2206
0.1635
0.1894
0.2177
0.1611
0.1867
0.2148
2.5
2.6
2.7
0.9938
0.9953
0.9965
0.0074
0.9940
0.9955
0.9966
0.9941
0.9956
0.9967
0.9943
0.9957
0.9968
0.0077
0.9945
0.9959
0.9969
0.9946
0.9960
0.9970
0.9948
0.9961
0.9971
0.9949
0.9962
0.9972
0.0079
0.9951
0.9963
0.9973
0.9952
0.9964
0.9974
-0.6
0.2743
0.2709
0.2643
0.2611.
0.2578
0.2514
0.2483
0.2451
2.8
0.0075
0.0076
0.0977
0.0978
0.9979
0.0080
0.9081
Transcribed Image Text:Standard Normal Distribution Table (page 1) Standard Normal Distribution Table (page 2) Area - Area Standard Normal Distribution Standard Normal Distribution 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 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0.5832 0.5120 0.5517 0.5910 0.5160 0.5557 0.5948 0.5199 0.5596 0.5987 0.6368 0.6736 0.5239 0.5636 0.6026 0.5319 0.5714 0.6103 0.0003 0.0005 0.0006 0.5080 0.5478 0.5279 0.5675 0.6064 0.5359 0.5753 0.0003 0.0003 0.0003 0.0004 0.0005 0.0008 0.0011 0.0002 0.0003 0.0005 0.0 -3.4 -3.3 -3.2 0.0003 0.0005 0.0007 0.0003 0.0005 0.0007 0.0004 0.0006 0.0003 0.0004 0.0006 0.0004 0.0006 0.0003 0.0004 0.0003 0.0004 0.0005 0.1 0.2 0.0006 0.5871 0.6141 0.6255 0.0009 0.0012 0.0008 0.0011 0.6517 0.6879 0.3 0.6217 0.6293 0.6664 0.6331 0.6700 0.6406 0.6443 0.6808 0.6480 -3.1 -3.0 0.0009 0.0013 0.0010 0.0009 0.0013 0.0008 0.0012 0.0008 0.0011 0.0007 0.0010 0.0007 0.0010 0.0013 0.4 0.6591 0.6628 0.6772 0.6844 0.6985 0.7324 0.7642 0.7123 0.7454 0.7764 0.7190 0.7517 0.7823 0.6915 0.0019 0.0026 0.0035 0.0047 0.0062 0.0018 0.0024 0.0033 0.6950 0.7291 0.7611 0.7019 0.7357 0.7673 0.7054 0.7389 0.7704 0.7157 0.7486 0.7794 0.8078 0.8340 0.7224 0.7549 0.7852 0.5 -29 -28 -2.7 0.0018 0.0025 0.0034 0.0017 0.0023 0.0032 0.0016 0.0023 0.0031 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 0.0014 0.0020 0.0027 0.0014 0.0019 0.0026 0.0036 0.7088 0.7422 0.7734 0.7257 0.7580 0.6 0.7 0.7881 0.7967 0.8238 0.7995 0.8023 0.8289 0.8133 0.8389 0.8 0.7910 0.8186 0.7939 0.8212 0.8051 0.8315 0.8106 0.0045 0.0060 0.0038 -2.6 -2.5 0.0044 0.0043 0.0057 0.0041 0.0037 0.0059 0.0055 0.0051 0.0049 0.0048 0.9 0.8159 0.8264 0.8365 0.8413 0.8643 0.8849 0.9032 0.9192 0.8461 0.8686 0.8485 0.8708 0.8907 0.8599 0.8810 0.8997 0.8438 0.0071 0.0094 0.0122 1.0 1.1 1.2 1.3 1.4 0.8508 0.8729 0.8925 0.9099 0.9251 0.8531 0.8749 0.8944 0.0082 0.0107 0.0139 0.0080 0.0104 0.0136 0.0174 0.8554 0.8770 0.8577 0.8790 0.8980 0.8621 0.8830 0.90 15 0.0075 0.0069 0.0091 0.0119 0.0154 0.0197 0.0066 0.0087 0.0113 -2.4 -2.3 -2.2 0.0078 0.0102 0.0132 0.0073 0.0096 0.0125 0.0068 0.0089 0.0116 0.0064 0.0084 0.0099 0.8665 0.0129 0.0110 0.8869 0.8888 0.8962 0.9082 0.9236 0.9115 0.9265 0.9131 0.0150 0.0192 0.9049 -2.1 -2.0 0.0179 0.0228 0.0170 0.0217 0.0158 0.0202 0.9066 0.9222 0.9147 0.9292 0.9162 0.9306 0.9177 0.9319 0.0166 0.0162 0.0146 0.0188 0.0143 0.0183 0.0222 0.0212 0.0207 0.9207 0.9279 -1.9 -1.8 -1.7 0.0287 0.0359 0.0446 0.0281 0.0351 0.0436 0.0274 0.0344 0.0427 0.0268 0.0336 0.0418 0.0516 0.0262 0.0329 0.0409 0.0256 0.0322 0.0401 0.0495 0.0250 0.0314 0.0392 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 0.0233 0.0294 0.0367 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 0.9382 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 0.0505 0.0618 0.9678 0.9744 0.9693 0.9756 1.8 0.9641 0.9713 0.9649 0.9719 0.9656 0.9726 0.9664 0.9732 0.9671 0.9686 0.9699 0.9706 -1.6 -1.5 0.0548 0.0668 0.0537 0.0655 0.0485 0.0594 0.0465 0.0526 0.0643 0.0455 0.0630 0.0606 0.0571 0.0559 1.9 0.9738 0.9750 0.9761 0.9767 -1.4 -1.3 -1.2 0.0808 0.0968 0.1151 0.1357 0.1587 0.0793 0.0951 0.1131 0.1335 0.1562 0.0778 0.0934 0.1112 0.1314 0.1539 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 0.0694 0.0838 0.1003 0.1190 0.0681 0.0823 0.0985 2.0 2.1 2.2 0.9772 0.9821 0.9861 0.9778 0.9826 0.9864 0.9783 0.9830 0.9868 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9798 0.9842 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0.9812 0.9854 0.9887 0.9817 0.9857 0.9878 0.9890 0.1271 0.1492 2.3 2.4 0.9893 0.9918 0.9901 0.9925 0.9906 0.9929 0.9909 0.9931 0.9911 0.9932 0.9913 0.9934 0.9916 0.9936 0.9896 -1.1 -1.0 0.1251 0.1469 0.1230 0.1446 0.9898 0.9922 0.9904 0.9927 0.1292 0.1210 0.1170 0.1515 0.1423 0.1401 0.1379 0.9920 -0.9 -08 -0.7 0.1841 0.2119 0.2420 0.1814 0.2090 0.2389 0.1788 0.2061 0.2358 0.2676 0.1762 0.2033 0.2327 0.1736 0.2005 0.2296 0.1711 0.1977 0.2266 0.1685 0.1949 0.2236 0.2546 0.1660 0.1922 0.2206 0.1635 0.1894 0.2177 0.1611 0.1867 0.2148 2.5 2.6 2.7 0.9938 0.9953 0.9965 0.0074 0.9940 0.9955 0.9966 0.9941 0.9956 0.9967 0.9943 0.9957 0.9968 0.0077 0.9945 0.9959 0.9969 0.9946 0.9960 0.9970 0.9948 0.9961 0.9971 0.9949 0.9962 0.9972 0.0079 0.9951 0.9963 0.9973 0.9952 0.9964 0.9974 -0.6 0.2743 0.2709 0.2643 0.2611. 0.2578 0.2514 0.2483 0.2451 2.8 0.0075 0.0076 0.0977 0.0978 0.9979 0.0080 0.9081
The mean incubation time for a type of fertilized egg kept at a certain temperature is 23 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Complete parts (a) through (e) below.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
(c) Find and interpret the probability that a randomly selected fertilized egg takes over 25 days to hatch.
The probability that a randomly selected fertilized egg takes over 25 days to hatch is.
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice.
O A. The average proportion of the way to hatching of all eggs fertilized more than 25 days ago is
(Round to two decimal places as needed.)
B. In every group of 100 fertilized eggs,
eggs will hatch in more than 25 days.
(Round to the nearest integer as needed.)
O C. If 100 fertilized eggs were randomly selected,
of them would be expected to take more than 25 days to hatch.
(Round to the nearest integer as needed.)
(d) Find and interpret the probability that a randomly selected fertilized egg hatches between 22 and 23 days.
The probability that a randomly selected fertilized egg hatches between 22 and 23 days is
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice.
O A. In every group of 100 fertilized eggs,
eggs will hatch between 22 and 23 days.
(Round to the nearest integer as needed.)
O B. The average proportion of the way to hatching of all eggs fertilized between 22 and 23 days is
(Round to two decimal places as needed.)
O C. If 100 fertilized eggs were randomly selected,
of them would be expected to hatch between 22 and 23 days.
(Round to the nearest integer as needed.)
(e) Would it be unusual for an egg to hatch in less than 20 days? Why?
The probability of an egg hatching in less than 20 days is
so it
be unusual, since the probability is
than 0.05.
(Round to four decimal places as needed.)
Transcribed Image Text:The mean incubation time for a type of fertilized egg kept at a certain temperature is 23 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (c) Find and interpret the probability that a randomly selected fertilized egg takes over 25 days to hatch. The probability that a randomly selected fertilized egg takes over 25 days to hatch is. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. O A. The average proportion of the way to hatching of all eggs fertilized more than 25 days ago is (Round to two decimal places as needed.) B. In every group of 100 fertilized eggs, eggs will hatch in more than 25 days. (Round to the nearest integer as needed.) O C. If 100 fertilized eggs were randomly selected, of them would be expected to take more than 25 days to hatch. (Round to the nearest integer as needed.) (d) Find and interpret the probability that a randomly selected fertilized egg hatches between 22 and 23 days. The probability that a randomly selected fertilized egg hatches between 22 and 23 days is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. O A. In every group of 100 fertilized eggs, eggs will hatch between 22 and 23 days. (Round to the nearest integer as needed.) O B. The average proportion of the way to hatching of all eggs fertilized between 22 and 23 days is (Round to two decimal places as needed.) O C. If 100 fertilized eggs were randomly selected, of them would be expected to hatch between 22 and 23 days. (Round to the nearest integer as needed.) (e) Would it be unusual for an egg to hatch in less than 20 days? Why? The probability of an egg hatching in less than 20 days is so it be unusual, since the probability is than 0.05. (Round to four decimal places as needed.)
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The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman