Problem

Question $18,9.3$ ek 12 Find the percent of the total area under the standard normal curve between the following pair of z-scores. \[ z=-1.5 \text { and } z=-0.5 \] Click here to view page 1 of the Areas under the Normal Curve Table. Click here to view page 2 of the Areas under the Normal Curve Table. In order to find the area between the area under the curve between the two z-scores, first find the area to the left of The area to the left of $z=-1.5$ is $\square$. The area to the left of $z=-0.5$ is $\square$. (Round to four decimal places as needed.)

Solution

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 :\(\boxed{\text{The area under the standard normal curve between z=-1.5 and z=-0.5 is the area to the left of z=-0.5 minus the area to the left of z=-1.5.}}\)

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Source: https://solvelyapp.com/problems/Y4eLV1I5SS/

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