The given cumulative area is 0.94,
Using technology:
Excel Function
[tex]\begin{gathered} z=NORMSINV\mleft(0.94\mright)=1.554773594597\approx1.55(2\text{ decimal places)} \\ \therefore z-\text{score}=1.55 \end{gathered}[/tex]Hence, the answer is
[tex]z=1.55[/tex]