Click to view page 1 of the table. Click to view page 2 of the table. a. The percentage of normal and healthy persons considered to have a fever is%. (Round to two decimal places as needed.) Does this percentage suggest that a cutoff of 100.6°F is appropriate? A. No, because there is a large probability that a normal and healthy person would be considered to have a fever. B. Yes, because there is a large probability that a normal and healthy person would be considered to have a fever. C. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever. D. No, because there is a small probability that a normal and healthy person would be considered to have a fever. b. The minimum temperature for requiring further medical tests should be °F if we want only 5.0% of healthy people to exceed i (Round to two 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
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Question
Assume that human body temperatures are normally distributed with a mean of 98.19°F and a standard deviation of 0.64°F.
a. A hospital uses 100.6°F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6°F is appropriate?
b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 5.0% of healthy people to exceed it? (Such a result is a false positive, meaning that the test result is positive,
but the subject is not really sick.)
Click to view page 1 of the table. Click to view page 2 of the table.
a. The percentage of normal and healthy persons considered to have a fever is %.
(Round to two decimal places as needed.)
Does this percentage suggest that a cutoff of 100.6°F is appropriate?
O A. No, because there is a large probability that a normal and healthy person would be considered to have a fever.
B. Yes, because there is a large probability that a normal and healthy person would be considered to have a fever.
C. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever.
D. No, because there is a small probability that a normal and healthy person would be considered to have a fever.
b. The minimum temperature for requiring further medical tests should be
(Round to two decimal places as needed.)
°F if we want only 5.0% of healthy people to exceed it.
Standard Normal Table (Page 2)
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
~~~~
www~NNN2
MM
0
.00
Z
Standard Normal (z) Distribution: Cumulative Area from the LEFT
.5000
.5398
5793
.6179
.6554
.6915
.7257
.7580
.7881
.8159
.8413
.8643
.8849
9032
.9192
.9332
9452
.9554
.9641
9713
.9772
.9821
.9861
.9893
.9918
.9938
.9953
.9965
.9974
.9981
.9987
9990
.9993
.9995
.9997
.9999
.01
5040
5438
5832
.6217
.6591
.6950
.7291
.7611
7910
.8186
.8438
.8665
8869
9049
.9207
9345
9463
.9564
.9649
.02
.9719
.9778
.9826
9864
.9896
.9920
.9940
.9955
.9966
.9975
.9982
9987
.9991
9993
.9995
.9997
5080
5478
5871
.6255
.6628
.6985
.7324
.7642
.7939
.8212
.8461
8686
8888
.9066
9222
9357
9474
.9573
.9656
.9726
.9783
.9830
9868
.9898
.9922
9941
.9956
.9967
.9976
.9982
9987
.9991
9994
.9995
9997
POSITIVE z Scores
.03
5120
5517
5910
.6293
.6664
.7019
.7357
.7673
.7967
.8238
.8485
.8708
.8907
.9082
.9236
.9370
9484
.9582
.9664
.9732
.9788
.9834
9871
.9901
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.3
3.4
3.50
and up
NOTE: For values of z above 3.49, use 0.9999 for the area.
.9925
.9943
.9957
.04
.9968
.9977
.9983
9988
.9991
9994
.9996
.9997
.5160
.5557
.5948
.6331
.6700
.7054
.05
.7389
.7704
.7995
.8264
.8508
.8729
.8925
.5199
.5596
5987
.6368
.6736
.7088
7422
.7734
.8023
.8289
.8531
.8749
.8944
.9115
.9099
.9251
.9265
.9394
.9382
.9495 * .9505
.9591
.9599
.9671
.9678
.9738
.9744
.9793
.9838
.9875
.9798
.9842
.9878
.9904
.9906
.9927
.9929
.9945
.9946
.9959
.9960
.9969
.9970
.9977
.9978
.9984
.9984
.9988
.9989
.9992
.9992
.9994
.9994
.9996
.9996
.9997
.9997
.06
.5239
.5636
.6026
.6406
.6772
.7123
.7454
.7764
.8051
.8315
.8554
.8770
.8962
.9131
.9279
.9406
.9515
.9608
.9686
.9750
.9803
.9846
.9881
.9909
.9931
.9948
.9961
.9971
.9979
.9985
.9989
.9992
.9994
.9996
.9997
.07
.08
5279
.5675
6064
.6443
.6808
.7157
.7486
.7794
5319
.5714
.6103
6480
6844
.7190
.7517
.7823
.8106
.8365
8078
.8340
.8577
.8790
.8980
.9147
.9292
.9418
9525
.9616
.8599
.8810
.8997
.9162
.9306
.9429
9693
.9756
.9808
.9535
.9625
.9699
.9761
9812
.9854
.9887
.9913
.9850
.9884
.9911
.9932
.9934
.9962
.9972
9979
9985
.9989
9992
.9995
.9949 . .9951
.9963
9973
9980
.9986
.9990
.9993
.9995
9996
.9997
.9996
.9997
.09
.5359
.5753
.6141
.6517
.6879
.7224
7549
.7852
.8133
.8389
.8621
.8830
.9015
.9177
.9319
9441
9545
.9633
.9706
.9767
.9817
.9857
.9890
.9916
.9936
.9952
9964
.9974
.9981
.9986
.9990
.9993
.9995
.9997
.9998
Common Critical Value
Transcribed Image Text:Assume that human body temperatures are normally distributed with a mean of 98.19°F and a standard deviation of 0.64°F. a. A hospital uses 100.6°F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6°F is appropriate? b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 5.0% of healthy people to exceed it? (Such a result is a false positive, meaning that the test result is positive, but the subject is not really sick.) Click to view page 1 of the table. Click to view page 2 of the table. a. The percentage of normal and healthy persons considered to have a fever is %. (Round to two decimal places as needed.) Does this percentage suggest that a cutoff of 100.6°F is appropriate? O A. No, because there is a large probability that a normal and healthy person would be considered to have a fever. B. Yes, because there is a large probability that a normal and healthy person would be considered to have a fever. C. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever. D. No, because there is a small probability that a normal and healthy person would be considered to have a fever. b. The minimum temperature for requiring further medical tests should be (Round to two decimal places as needed.) °F if we want only 5.0% of healthy people to exceed it. Standard Normal Table (Page 2) 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 ~~~~ www~NNN2 MM 0 .00 Z Standard Normal (z) Distribution: Cumulative Area from the LEFT .5000 .5398 5793 .6179 .6554 .6915 .7257 .7580 .7881 .8159 .8413 .8643 .8849 9032 .9192 .9332 9452 .9554 .9641 9713 .9772 .9821 .9861 .9893 .9918 .9938 .9953 .9965 .9974 .9981 .9987 9990 .9993 .9995 .9997 .9999 .01 5040 5438 5832 .6217 .6591 .6950 .7291 .7611 7910 .8186 .8438 .8665 8869 9049 .9207 9345 9463 .9564 .9649 .02 .9719 .9778 .9826 9864 .9896 .9920 .9940 .9955 .9966 .9975 .9982 9987 .9991 9993 .9995 .9997 5080 5478 5871 .6255 .6628 .6985 .7324 .7642 .7939 .8212 .8461 8686 8888 .9066 9222 9357 9474 .9573 .9656 .9726 .9783 .9830 9868 .9898 .9922 9941 .9956 .9967 .9976 .9982 9987 .9991 9994 .9995 9997 POSITIVE z Scores .03 5120 5517 5910 .6293 .6664 .7019 .7357 .7673 .7967 .8238 .8485 .8708 .8907 .9082 .9236 .9370 9484 .9582 .9664 .9732 .9788 .9834 9871 .9901 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.50 and up NOTE: For values of z above 3.49, use 0.9999 for the area. .9925 .9943 .9957 .04 .9968 .9977 .9983 9988 .9991 9994 .9996 .9997 .5160 .5557 .5948 .6331 .6700 .7054 .05 .7389 .7704 .7995 .8264 .8508 .8729 .8925 .5199 .5596 5987 .6368 .6736 .7088 7422 .7734 .8023 .8289 .8531 .8749 .8944 .9115 .9099 .9251 .9265 .9394 .9382 .9495 * .9505 .9591 .9599 .9671 .9678 .9738 .9744 .9793 .9838 .9875 .9798 .9842 .9878 .9904 .9906 .9927 .9929 .9945 .9946 .9959 .9960 .9969 .9970 .9977 .9978 .9984 .9984 .9988 .9989 .9992 .9992 .9994 .9994 .9996 .9996 .9997 .9997 .06 .5239 .5636 .6026 .6406 .6772 .7123 .7454 .7764 .8051 .8315 .8554 .8770 .8962 .9131 .9279 .9406 .9515 .9608 .9686 .9750 .9803 .9846 .9881 .9909 .9931 .9948 .9961 .9971 .9979 .9985 .9989 .9992 .9994 .9996 .9997 .07 .08 5279 .5675 6064 .6443 .6808 .7157 .7486 .7794 5319 .5714 .6103 6480 6844 .7190 .7517 .7823 .8106 .8365 8078 .8340 .8577 .8790 .8980 .9147 .9292 .9418 9525 .9616 .8599 .8810 .8997 .9162 .9306 .9429 9693 .9756 .9808 .9535 .9625 .9699 .9761 9812 .9854 .9887 .9913 .9850 .9884 .9911 .9932 .9934 .9962 .9972 9979 9985 .9989 9992 .9995 .9949 . .9951 .9963 9973 9980 .9986 .9990 .9993 .9995 9996 .9997 .9996 .9997 .09 .5359 .5753 .6141 .6517 .6879 .7224 7549 .7852 .8133 .8389 .8621 .8830 .9015 .9177 .9319 9441 9545 .9633 .9706 .9767 .9817 .9857 .9890 .9916 .9936 .9952 9964 .9974 .9981 .9986 .9990 .9993 .9995 .9997 .9998 Common Critical Value
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