We want 14% of the total area to the left of the z score we are looking for, this means that we are looking for the value of z that satisfy:
[tex]P(Z\leq z)=0.14[/tex]Now, looking at a standard normal distribution table we have that the closer we have is 0.1401 and that this happens for z=-1.08.
Therefore the z score that best satisfies the condition given is -1.08
