Females’ Body Temperatures A study of human body temperatures using healthy women showed a mean of 98.4 ∘ F and a standard deviation of about 0.70 ∘ F . Assume the temperatures are approximately Normally distributed. a. Find the percentage of healthy women with temperatures below 98.6 ∘ F (this temperature was considered typical for many decades). b. What temperature does a healthy woman have if her temperature is at the 76th percentile?
Females’ Body Temperatures A study of human body temperatures using healthy women showed a mean of 98.4 ∘ F and a standard deviation of about 0.70 ∘ F . Assume the temperatures are approximately Normally distributed. a. Find the percentage of healthy women with temperatures below 98.6 ∘ F (this temperature was considered typical for many decades). b. What temperature does a healthy woman have if her temperature is at the 76th percentile?
Solution Summary: The author explains how to determine the percentage of healthy women with a body temperature below 98.6circF.
Females’ Body Temperatures A study of human body temperatures using healthy women showed a mean of
98.4
∘
F
and a standard deviation of about
0.70
∘
F
. Assume the temperatures are approximately Normally distributed.
a. Find the percentage of healthy women with temperatures below
98.6
∘
F
(this temperature was considered typical for many decades).
b. What temperature does a healthy woman have if her 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.
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
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