please do NOT use excell...3 answers ... hw 6.3#8 Assume that human body tempera
ID: 3242668 • Letter: P
Question
please do NOT use excell...3 answers ... hw 6.3#8
Assume that human body temperatures are normally distributed with a mean of 98.21 degrees and a standard deviation of 0.63 degrees F.
a. A hospital uses100.6 degrees 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.)
1). The percentage of normal and healthy persons considered to have a fever is____ %.(Round to 2 decimal places as needed.)
2)Does this percentage suggest that a cutoff of100.6 degrees Upper F100.6°Fis appropriate?
A.Yes, because there is a small probability that a normal and healthy person would be considered to have a fever.
B.No, 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 large 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
3)The minimum temperature for requiring further medical tests should be_____°F
If we want only 5.0% of healthy people to exceed it.(Round to 2 decimal places as needed)
Explanation / Answer
a)probabilty of having a temerature of 100.6 or above =P(X>100.6)=1-P(X<100.6)=1-P(Z<(100.6-98.21)/0.63)
=1-P(Z<3.7937)=1-0.9999=0.0001
as probabilty of above is very less 100.6 degree seems to be appropriate.
1). The percentage of normal and healthy persons considered to have a fever is 0.01%
2) option A.Yes, because there is a small probability that a normal and healthy person would be considered to have a fever.
b)
as for top 5%; z score corresponding score =1.645
therefore minimum temperature for requiring further medical tests should be=98.21+1.645*0.63=99.25o
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