Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by $z = 1.4$ . What is her temperature? Round your answer to the nearest hundredth.

A) 97.33°F
B) 99.60°F
C) 100.45°F
D) 99.07°F

Question

Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by

z = 1.4

. What is her temperature? Round your answer to the nearest hundredth.

A) 97.33°F
B) 99.60°F
C) 100.45°F
D) 99.07°F

Quizplus · Accepted Answer

To find Sally's temperature, use the formula for z-score: $ z = \frac{(X - \mu)}{\sigma} $. Here, $ z = 1.4 $, $ \mu = 98.20 $, and $ \sigma = 0.62 $. Solving for $ X $, we get $ X = z \cdot \sigma + \mu = 1.4 \cdot 0.62 + 98.20 = 99.07 $.

Human Body Temperatures Have a Mean of 98 z=1.4z = 1.4z=1.4

Human Body Temperatures Have a Mean of 98 $z = 1.4$