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. 99.07°F 100.45°F 97.33°F 99.60°F

Answer 1

99.068 degrees Fahrenheit

Explanation:

1.4=(x-98.20)/0.62

.868=x-98.20

x=99.068 degrees Fahrenheit

Answer 2

Answer: First Option

`X=99.07\°\ F`

Explanation:

The formula to calculate the Z-score is:

`Z=(X-\mu)/(\sigma)`

Where

`\mu` is the mean

`\sigma` is the standard deviation

X is the temperature whose Z-score is 1.4

In this case we know that:

`\mu=98.20\°\ F`

`\sigma=0.62\°\ F`

Then:

`Z=(X-98.20)/(0.62)`

`1.4=(X-98.20)/(0.62)`

`1.4*0.62=X-98.20`

`X=1.4*0.62 + 98.20`

`X=99.07\°\ F`