Human body temperatures are normally distributed with a mean of 98.20degreesF and a standard deviation of 0.62 degrees

f. Find the temperature that separates the top 7% from the bottom 93%. Round to the nearest hundredth of a degree.

Answer: The temperature that separates the top 7% with the bottom 93% is 99.12 degrees.

The z-score that corresponds to 93% is about 1.48. If we write the equation for the z-score, we can solve for the missing temperature.

The equation would be:

(x - 98.2) / 0.62 = 1.48

x - 98.2 = 0.9176

x = 99.12 degrees