SOLUTION: An 1868 paper by German physician Carl Wunderlich reported, based on over a million body temperature readings, that healthy adult body temperatures are approximately normally distr

Question 1051620: An 1868 paper by German physician Carl Wunderlich reported, based on over a million body temperature readings, that healthy adult body temperatures are approximately normally distributed with mean 98.6 degrees Fahrenheit and standard deviation 0.6.
a)Based on this study, what percentage of healthy adults have a body temperature that is below 98.1 degrees?
b)Fill in the blank. Approximately 90% of healthy adults have a body temperature that is above ________ (how many?) degrees.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
=(98.1-98.6)/0.6
=-0.83333
z < -0.8333 is probability of 0.2023 or 20.23%
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The upper 90% percentile is the complement of the lowest 10 th percentile, which is z=-1.282
-1.282=(x-98.6)/0.6
x-98.6=-0.7692=-0.77
x=97.83 or 97.8 degrees
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