A clinic took temperature readings of 250 flu patients over a weekend and discov

Question

A clinic 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 0.9750. 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 103.35°F?

A clinic 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 0.9750. 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 103.35°F? Incorrect. See the lower panel for more information. Number 0.0026 (b) What is the fraction of patients expected to have a temperature between 100.62°F and 102.47°F? Number 0.5209

Explanation / Answer

Z-score =times the standard deviation deviates from the sample mean

Z-score=x-mean/s s=sample std deviation,x=sample

z-score=103.35-101.20/0.9750=2.205

from Z-score table,Z<2.2 Probabiity=0.9861

So, for Z>2.2 P=1-0.9861=0.0139

a) patients expected to have a fever greater than 103.35°F=0.0139

% patients expected to have a fever greater than 103.35°F=0.0139*100=1.39%

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