on: 1 pt This Assume that human body temperatures are normally distributed with
ID: 3356469 • Letter: O
Question
on: 1 pt This Assume that human body temperatures are normally distributed with a mean of 98 20°F and a standard drvialon of 0 63eF 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 that a cutoff of 100 6 F is appeopriate? want to select a exceed it? (Such a result is a false positive, meaning that the test resu is posilive, but the subject is not really sick) a The percentage of normal and healthy persons considered to have a fr er is%. (Round to two decimall places as needed) Data Sets StatCrunch Does this percentage suggest that a cutoff of 100 6F is appropriate? OA. No, because there is a large probablity that a normal and healty person would O B. Yes, because there is a small probabilily that a normal and healthy person would be O C. Yes, because there is a large probubility that a nomal and healtly person would be considered to have a lewr O D. Tools for Success considered to have a lever considered to have a fever that a normal and healthy person would be considered to have a fever No, because there is a small probability that a normal and healthy person would be conaidered to have a lever Course Tools Round to two decimal places as needed) Click to select your answer(s) 1 Pre-Test OType here to searchExplanation / Answer
Solution:-
a.The precentage of normal and health person considered to have a fever is 0.01%
=> P(X>100.6) = P(Z >(100.6-98.20)/0.63) = P( Z > 3.81) = 0.0001
---> option 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 99.24 F if we want only 5.0% of healthy people to exceed it
P(X > x)=0.05
(x - 98.20)/0.63 =1.645
x = 98.20+1.645*0.63
= 99.2363 = 99.24(rounded)
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