Submit Quiz This Question: 1 pt 10 of 10 This Quiz: 10 pts possible Assume that
ID: 3049839 • Letter: S
Question
Submit Quiz This Question: 1 pt 10 of 10 This Quiz: 10 pts possible Assume that human body temperatures are normally distributed with a mean of 98.18 and a standard devi a. A hospital uses 100.6° F as the lowest temperature considered to be a fever. What percentage of Does this percentage suggest that a cutoff of 100.6 F is appropriate? b. Physicians wan normal and healthy persons would be considered to have a fever? t 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 is a false positive, meaning that the test result is positive, but the subject is not really sick) Click to view page 1 ot 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. Yes, because there is a large probability that a normal and healthy person would be considered to have a tever O B. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever O D. No, because there is a small probability that a normal and healthy person would be considered to have a fever No, because there is a large 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 it we want n y 50% of athy people to exceed it Click to select your answer(s) Save for Later 2:13 2:13Explanation / Answer
Ans:
Given that
mean=98.18
standard deviation=0.64
a)
z(100.6)=(100.6-98.18)/0.64=3.78
P(z>3.78)=0.0001 i.e. 0.01%
Option B is correct.Yes,because there is small probability that a normal and healty person will be considered to have fever.
b)P(Z>=z)=0.05
P(Z<=z)=1-0.05=0.95
z=1.645
minimum temprature=98.18+1.645*0.64=99.23