Step 1 :First, look up the z-score of -0.5 in the z-table. The value you find will be the area to the right of z=-0.5. Subtract this value from 0.5 to get the area to the left of z=-0.5.
Step 2 :Next, look up the z-score of -1.5 in the z-table. Again, the value you find will be the area to the right of z=-1.5. Subtract this value from 0.5 to get the area to the left of z=-1.5.
Step 3 :Finally, subtract the area to the left of z=-1.5 from the area to the left of z=-0.5 to find the area under the curve between the two z-scores.
Step 4 :\(\boxed{\text{The area under the standard normal curve between z=-1.5 and z=-0.5 is the area to the left of z=-0.5 minus the area to the left of z=-1.5.}}\)