This Question: 1 pt 10 of 21 (7 complete) This Test: 21 pts possible Assume that

Question

This Question: 1 pt 10 of 21 (7 complete) This Test: 21 pts possible Assume that human body temperatures are normally distributed with a mean of 98.2 a. A hospital uses Does this percentage suggest that a cutofl of 100 6 F is appropriate b. Physicians want to select a minimum temperature for tosts. What 100 6-F as the lowest temperature considered to be a lever what percentage of normal and healthy persons would be considered to have a fever? a result is a false positive, meaning that the test result is positive, but the subject is not really sick) requiring further medical tests what should that temperature be, if wo want only 5 0% of healthy people to ge 1 of the table, C a. The percentage of normal and healthy persons considered to have a fever is [7% Round to two decimal places as needed) Does this percentage suggest that a cutoff of 1006°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 O B. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever nts O C. Yes, because there is a large probability that a normal and healthy person would be considered to have a fever 0 D. No, because there is a small probability that a normal and healthy person would be considered to have a lever

Explanation / Answer

Solution:- mean = 98.22,sd = 0.64
a) The percentage of normal and healthy person considered to have a fever is 0.01%

P(X > 100.6) = P ( z > (100.6 - 98.22)/0.64)
= P ( z > 3.7188)
= 0.0001

=> option B. Yes, because there is a small probability that a normal and healthy person would be considered to have a fever.

b) P( (x-98.22)/0.64 ) = 0.05
  
(x-98.22)/0.64 = 1.645

x-98.22 = 1.645 *0.64

x = 98.22 + (1.645 *0.64)

x = 99.27

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