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 = -1.5. What is her temperature? Round your answer to the nearest hundredth.

Answer 1

Answer:

$97.27^{o}F$

Step-by-step explanation:

We have been given that 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 = -1.5.

To find Sally's temperature we will use z-score formula.

$z=\frac{x-\mu}{\sigma}$, where $\mu$ = Mean, $\sigma$= Standard deviation.

Let us substitute our given values in z-score formula.

$-1.5=\frac{x-98.20}{0.62}$

Multiply 0.62 to both sides of equation.

$0.62\times-1.5=0.62\times \frac{x-98.20}{0.62}$

$-0.93=x-98.20$

Add 98.20 to both sides of equation.

$-0.93+98.20=x-98.20+98.20$

$97.27=x$

Therefore, Sally's temperature will be 97.27 degrees Fahrenheit.

Answer 2

$Z=\dfrac{X-\mu}\sigma\iff-1.5=\dfrac{X-98.20^\circ}{0.62^\circ}\implies X\approx97.27^\circ$