Adinic took temperature readings of 250 flu patients over a weekend and discover

Question

Adinic took temperature readings of 250 flu patients over a weekend and discovered the temperature distribution to be Gaussian, with a mean of 101.20°F and a standard deviation of 0.9580. Use this normal error curve area table to find the following values. (a) What is the fraction of patients expected to have a fever greater than 103.50°F? (b) What is the fraction of patients expected to have a temperature between 100.43°F and 102.06°F? O Previous @ Give Up & View Solution Check Answer O Next Exit aboutus I privacy policy 1 terms of use contact us help

Explanation / Answer

a)

Probability (X > 103.50)

In any spreadsheet processor:

=NORM.DIST(103.5,101.2,0.958,TRUE)

calcualte the normal probability from

-infinity < x < 103.5 max

probability --> 0.99182

fraction of patients expected (1-0.99182)) = 0.00818

b)

find fraction between 100.43 and 102.06

Find

P(X > 102.06) --> 0.81533

P(X > 100.43) --> 0.21077

fraction = P(X > 102.06) - P(X > 100.43) = 0.81533-0.21077 = 0.60456

fraction isl arge, since it is nearest to the average

then

X = 0.60456

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