Click here to open the distribution applet Based on the sample of body temperatu

Question

Click here to open the distribution applet Based on the sample of body temperatures of healthy adults provided by Dr. Steven Wasseman, et al. of the University of Maryland, we can assume that human body temperatures are normally distributed with a mean of 98.19°F and a standard deviation or 0.44 F . Physicians want to select a minimum temperature, below which further medical tests would be required, what should that temperature be, if we want only 4.3% of healthy people to qualify for the testing Use 2 decimals.

Explanation / Answer

We want only 4.3% people to qualify the testing so we need to find the cutoff value from which the area to its left is 4.3%.

z score corresponding to such value = -1.72

Hence,

Cutoff temerature = 98.19 - 1.72*0.44 = 97.81 oF

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