Final answer:
To find the area under the standard normal curve between z = -1.5 and z = 2.5, use the Z-table. The area to the left of z = -1.5 is 0.3446 and the area to the left of z = 2.5 is 0.9332. Subtracting these two values gives an area of 0.5886.
Step-by-step explanation:
The area under the standard normal curve between z = -1.5 and z = 2.5 can be found by using the Z-table.
First, find the area to the left of z = -1.5. In the provided information, the area to the left of the z-score of -0.40 is 0.3446. Using this information, we can find the area to the left of z = -1.5 by subtracting the area of -0.40 from the area of -0.40, which is 0.3446. This gives us an area of 0.3446.
Next, find the area to the left of z = 2.5. In the provided information, the area to the left of the z-score of 1.5 is 0.9332. Using this information, we can find the area to the left of z = 2.5 by subtracting the area of 1.5 from the area of 1.5, which is 0.9332. This gives us an area of 0.9332.
Finally, to find the area between z = -1.5 and z = 2.5, we subtract the area to the left of z = -1.5 from the area to the left of z = 2.5. This gives us 0.9332 - 0.3446 = 0.5886.