Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62° F. Sally's temperature can be described by z = -1.5. What is her temperature? Round your
Answer to the nearest hundredth.
A)97.27° F
B)99.13° F
C)96.70° F
D)95.79° F

Question

Quizplus · Accepted Answer

Sally's temperature is found using the formula for a z-score: $Z = \frac{(X - \mu)}{\sigma}$, where $X$ is the value in question, $\mu$ is the mean, and $\sigma$ is the standard deviation. Rearranging to solve for $X$ gives $X = Z\sigma + \mu$. Plugging in Sally's z-score (-1.5), the mean (98.20° F), and the standard deviation (0.62° F), we get $X = -1.5(0.62) + 98.20 = 97.27° F$.

Human Body Temperatures Have a Mean of 98