Based on the sample of body temperatures of healthy adults p

Based on the sample of body temperatures of healthy adults provided by Dr. Steven Wasserman, et al. of the University of Maryland, we can assume that human body temperatures are normally distributed with a mean of 98.20^oF and a standard deviation of 0.62^oF. 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?

Solution

First, we get the z score from the given left tailed area. As          
          
Left tailed area =    0.95      
          
Then, using table or technology,          
          
z =    1.644853627      
          
As x = u + z * s / sqrt(n)          
          
where          
          
u = mean =    98.2      
z = the critical z score =    1.644853627      
s = standard deviation =    0.62      
          
Then          
          
x = critical value =    99.21980925   [ANSWER]