A variable x has a mean, µ, of 19.5 and a standard deviation, Ϭ, of 5.9. Determine the z-score corresponding to an observed value for x of 29.9. Round your final answer to two decimal places.
A)1.23
B)-1.76
C)1.76
D)8.37

Question

A variable x has a mean, µ, of 19.5 and a standard deviation, Ϭ, of 5.9. Determine the z-score corresponding to an observed value for x of 29.9. Round your final answer to two decimal places. 
A)1.23
B)-1.76
C)1.76
D)8.37

Quizplus · Accepted Answer

The z-score is calculated using the formula $z = \frac{x - \mu}{\sigma}$, where $x$ is the observed value, $\mu$ is the mean, and $\sigma$ is the standard deviation. Plugging in the given values: $z = \frac{29.9 - 19.5}{5.9} = 1.76$.

A Variable X Has a Mean, µ, of 19