SOLUTION: Suppose we have a set of body temperatures with a mean of 98.6 degrees, and a sample standard deviation of 0.5 degrees. If we assume a normal distribution of body temperatures in

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Question 618340: Suppose we have a set of body temperatures with a mean of 98.6 degrees, and a sample standard deviation of 0.5 degrees. If we assume a normal distribution of body temperatures in the larger population, between what two values should 99.7% of all temperatures lie?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, 

body temperatures with a mean of 98.6 degrees, 

and a sample standard deviation of 0.5 degrees

what two values should 99.7% of all temperatures lie? 

Within 3 SD of the mean:

 98.6+-+3%28.5%29+%3C+X+%3C+98.6+%2B+3%28.5%29

     97.1+%3C+X+%3C+100.1



For the normal distribution: 

one  standard deviation from the mean accounts for about 68.2% of the set 

two standard deviations from the mean account for about 95.4%

and three standard deviations from the mean account for about 99.7%.