Chapter 5 Question 50 Body Temperatures - Most people think that the \"normal\"

Question

Chapter 5 Question 50 Body Temperatures - Most people think that the "normal" adult body temperature is 98.6 degrees. That figure, based on a 19th century study, has recently been challenged. In a 1992 article in the Journal of the American Medical Association, researchers reported that a more accurate figure may be 98.2 degrees. Furthermore, the standard deviation appeared to be around 0.7 degrees. Assume that a Normal model is appropriate a. In what interval would you expect most people's body b. What fraction of people would be expected to have body C. Below what body temperature are the coolest 20% of all temperatures to be? Explain. temperatures above 98.6 degrees? people?

Explanation / Answer

a) as for normal distribution most of values falls with in 3 standard deviation; therefore :

Interval =mean -/+ 3*std deviation =98.2 -/+ 3*0.7 =96.1 to 100.3

b)

hence probability of temerature more than 98.6:

c)

for bottom 20 percentile ; critical z =-0.8416

hence corresponding temerature =mean +z*std deviaiton =98.2-0.8416*0.7 =97.61

for normal distribution z score =(X-)/ here mean=       = 98.200 std deviation   == 0.70

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