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 101.00 F and a standard deviation of .9530
Use this normal error curve area table (https://sites.google.com/site/chempendix/statistiics/ordinate-and-area-for-a-normal-error-curve) to find the following values:

A. What is the fraction of patients expected to have a fever greater than 102.58 F?

B. What is the fraction of patients expected to have a temperature between 100.51 F and 101.79 F?

Explanation / Answer

A) p( X > 102.58) = 1 - p( z< (102.58 - 101) / 0.953)

= 1 - 0.95133

= 0.04867

B) p = p( X< 101.79) - p(X< 100.51)

= 0.79644 - 0.31207

= 0.48437

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