the sample variance is greater than 55? Click here to view a table of upper critical values for the chi-square distribution. probability is between 0.01 and 0.025. between 0.05 and 0.10. less than 0.001. between 0.025 and 0.05. between 0.001 and 0.01. greater than 0.10. 0.03 0.04 0.5120 0.5160 0.5517 0.5557 0.5948 Z 0 0.01 0.02 0.0 0.5000 0.5040 0.5080 0.1 0.5398 0.5438 0.5478 0.2 0.5793 0.5832 0.5871 0.5910 0.05 0.5199 0.5596 0.5987 0.07 0.08 0.5279 0.5319 0.5675 0.5714 0.6103 0.06 0.5239 0.5636 0.6026 0.6064 0.09 0.5359 0.5753 0.6141

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
A random sample of size n= 17 is obtained from a normally distributed population witha population mean of u= 100 and a variance o = 20. What is the probability
that the sample variance is greater than 55?
E Click here to view a table of upper critical values for the chi-square distribution.
The probability is
between 0.01 and 0.025
between 0.05 and 0.10.
less than 0.001.
between 0.025 and 0.05.
between 0.001 and 0.01.
greater than 0.10.
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.0
0.5000
0.5040
0.5080
0.5120
0.5160
0.5199
0.5239
0.5279
0.5319
0.5359
0.1
0.5398
0.5438
0.5478
0.5517
0.5557
0.5596
0.5636
0.5675
0.5714
0.5753
0.2
0.5793
0.5832
0.5871 0.5910
0.5948
0.5987
0.6026 0.6064
0.6103 0.6141
0.3
0.6179
0.6217
0.6255 0.6293
0.6331
0.6368
0.6406
0.6443
0.6480
0.6517
0.4
0.6554
0.6591
0.6628 0.6664 0.6700
0.6736
0.6772
0.6808
0.6844 0.6879
0.5
0.6915
0.6950
0.6985
0.7019
0.7054
0.7088
0.7123 0.7157 0.7190 0.7224
0.6
0.7257
0.7291
0.7324 0.7357
0.7389
0.7422
0.7454
0.7486 0.7517 0.7549
0.7
0.7580
0.7611
0.7642 0.7673
0.7704
0.7734 0.7764 0.7794 0.7823 0.7852
0.8
0.7881
0.7910
0.7939 0.7967
0.7995
0.8023
0.8051
0.8078
0.8106 0.8133
0.9
0.8159
0.8186
0.8212
0.8238
0.8264
0.8289
0,8315
0.8340
0.8365
0,8389
1.0
0,8413
0.8438
0.8461
0.8485
0.8508
0.8531
0.8554
0.8577
0.8599
0.8621
1.1
0.8643
0.8665
0.8686 0.8708
0.8729
0.8749
0.8770 0.8790
0.8810 0.8830
12
0.8849
0.8869
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
0.9463
0.9474 0.9484
0.9495
0.9505
0.9515
0.9525
0.9535 0.9545
1.7
0.9554
0.9564
0.9573 0.9582
0.9591
0.9599
0.9608 0.9616
0.9625 0.9633
1.8
0.9641
0.9649
0.9656 0.9664
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 0.9788
0.9793
0.9798
0.9803 0.9808 0.9812
0.9817
2.1
0.9821
0.9826
0.9830
0.9834
0.9838
0.9842
0.9846
0.9850
0.9854
0.9857
22
0.9861
0.9864
0.9868
0.9871
0.9875
0.9878
0.9881
0.9884
0,9887
0.9890
2.3
0.9893
0.9896
0.9898
0.9901
0.9904
0.9906
0.9909
0.9911 0.9913
0,9916
2.4
0.9918
0.9920
0.9922
0.9925
0.9927
0.9929
0.9931
0.9932 0.9934
0.9936
2.5
0.9938
0.9940
0.9941
0.9943
0.9945
0.9946
0.9948
0.9949
0.9951
0.9952
2.6
0.9953
0.9955
0.9956 0.9957
0.9959
0.9960
0.9961
0.9962 0.9963
0.9964
2.7
0.9965
0.9966
0.9967 0.9968
0.9969
0.9970
0.9971
0.9972 0.9973
0.9974
2.8
0.9974
0.9975
0.9976 0.9977
0,9977
0.9978
0.9979 0.9979 0.9980
0.9981
2.9
0.9981
0.9982
0.9982 0.9983
0.9984
0.9984
0.9985
0.9985 0.9986
0.9986
3.0
0.9987
0.9987
0.9987
0.9988
0.9988
0.9989
0.9989
0.9989 0.9990
0.9990
3.1
0.9990
0.9991
0.9991
0.9991
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
0.9994
0.9995
0.9995
0.9995
3.3
0,9995
0.9995
0.9995
0.9996
0.9996
0,9996
0.9996
0.9996
0,9996
0.9997
Transcribed Image Text:A random sample of size n= 17 is obtained from a normally distributed population witha population mean of u= 100 and a variance o = 20. What is the probability that the sample variance is greater than 55? E Click here to view a table of upper critical values for the chi-square distribution. The probability is between 0.01 and 0.025 between 0.05 and 0.10. less than 0.001. between 0.025 and 0.05. between 0.001 and 0.01. greater than 0.10. 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0,8315 0.8340 0.8365 0,8389 1.0 0,8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 12 0.8849 0.8869 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 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 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 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 22 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0,9887 0.9890 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0,9916 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.8 0.9974 0.9975 0.9976 0.9977 0,9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.1 0.9990 0.9991 0.9991 0.9991 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 0.9994 0.9995 0.9995 0.9995 3.3 0,9995 0.9995 0.9995 0.9996 0.9996 0,9996 0.9996 0.9996 0,9996 0.9997
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