A normal distribution has a mean of 150 and standard deviation of 4. Find the z-score for a data value of 155

Explanation
The question wants us to get the z-score of the data
The z-score is calculated using the formula
[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ where \\ x=observed\text{ value=155} \\ \mu=mean=150 \\ \sigma=standard\text{ deviation=4} \end{gathered}[/tex]Thus, if we substitute the values, we will have
[tex]\begin{gathered} z=\frac{155-150}{4}=\frac{5}{4}=1.25 \\ \\ Z-score=1.25 \end{gathered}[/tex]Thus, the z-score is 1.25