Let X : Temperature of a typical healthy body in humans
Given, X follows Normal Distribution with mean = 36.9 and standard deviation = 0.32 , i.e., N( = 36.9, = 0.32)
To find, 'w' such that P(X > w) = 0.86
Consider, P( X > w ) =0.86
Using Central Limit Theorem, which states that,
Thus,
Further, the z-value corresponding to 0.14 from the standard normal table, i.e., z-score table, will be -1.08
Therefore, the temperature 'w' for which 86% of the humans have a healthy body temperature, greater than 'w' is 36.5544 ( i.e., w = 36.5544 )
While the healthy body temperature in humans was long believed to be fixed at 36.9°C, recent...
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