Answer: First Option
[tex]X=99.07\°\ F[/tex]
Step-by-step explanation:
The formula to calculate the Z-score is:
[tex]Z=\frac{X-\mu}{\sigma}[/tex]
Where
[tex]\mu[/tex] is the mean
[tex]\sigma[/tex] is the standard deviation
X is the temperature whose Z-score is 1.4
In this case we know that:
[tex]\mu=98.20\°\ F[/tex]
[tex]\sigma=0.62\°\ F[/tex]
Then:
[tex]Z=\frac{X-98.20}{0.62}[/tex]
[tex]1.4=\frac{X-98.20}{0.62}[/tex]
[tex]1.4*0.62=X-98.20[/tex]
[tex]X=1.4*0.62 + 98.20[/tex]
[tex]X=99.07\°\ F[/tex]
