Males’ Body Temperatures A study of human body temperatures using healthy men showed a mean of 98.1 ∘ F and a standard deviation of 0.70. ∘ F Assume the temperatures are approximately normally distributed. a. Find the percentage of healthy men with temperatures below 98.6 ° F (that temperature was considered typical for many decades). b. What temperature does a healthy man have if his temperature is at the 76th percentile?
Males’ Body Temperatures A study of human body temperatures using healthy men showed a mean of 98.1 ∘ F and a standard deviation of 0.70. ∘ F Assume the temperatures are approximately normally distributed. a. Find the percentage of healthy men with temperatures below 98.6 ° F (that temperature was considered typical for many decades). b. What temperature does a healthy man have if his temperature is at the 76th percentile?
Solution Summary: The author calculates the percentage of healthy men with a body temperature below 98.6circF based on the normal distribution and the standard deviation.
Males’ Body Temperatures A study of human body temperatures using healthy men showed a mean of
98.1
∘
F
and a standard deviation of
0.70.
∘
F
Assume the temperatures are approximately normally distributed.
a. Find the percentage of healthy men with temperatures below
98.6
°
F
(that temperature was considered typical for many decades).
b. What temperature does a healthy man have if his temperature is at the 76th percentile?
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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