The time it takes to complete a test is normally distributed with a mean of 45 minutes and a standard deviation of12 minutes. If Nikki took 68 minutes to complete the test, find her Z-score to the nearest hundredths

Respuesta :

To find her z-score, we will use the formula:

[tex]Z=\frac{x\text{ -}\mu}{\sigma}[/tex]

where

μ is the mean and σ is the standard deviation

From the question,

μ= 45 σ=12 and x=68

substitute the values into the formula and evaluate

[tex]Z=\frac{68-45}{12}[/tex][tex]Z\approx1.92[/tex]