To find the area under the standard normal curve between z 1.5 and z 2.5, we will use the standard normal distribution table, also known as the Z-table, which gives the area to the left of a given z-score.
First, we look up the z-scores in the Z-table:
- For z 1.5, the area to the left is approximately 0.9332.
- For z 2.5, the area to the left is approximately 0.9938.
Next, to find the area between z 1.5 and z 2.5, we subtract the area at z 1.5 from the area at z 2.5:
Area = P(Z < 2.5) - P(Z < 1.5)
Area = 0.9938 – 0.9332 = 0.0606
Therefore, the area under the standard normal curve between z 1.5 and z 2.5 is approximately 0.0606.