Question

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

Answer 1

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

`Z=\frac{x\text{ -}\mu}{\sigma}`

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

`Z=(68-45)/(12)`
`Z\approx1.92`