Final answer:
To find the area between two z-scores (+1.2 and +1.5), determine the area to the left of each z-score using the Z-table and then subtract the smaller area from the larger one.
Step-by-step explanation:
The goal is to find the area between two given z-scores on the standard normal distribution, which is a type of normal distribution with a mean of 0 and a standard deviation of 1.
The z-scores in question are +1.2 and +1.5. To find the area between these two z-scores, you will use a Z-table which provides the area under the curve to the left of any given z-score.
First, find the area to the left of z=+1.2 and then the area to the left of z=+1.5. The area between the two z-scores is simply the difference between these two areas.
To demonstrate, let's assume an entry from the Z-table: The area to the left of the z-score of +1.5 is 0.9332.
If the area to the left of z=+1.2 was found to be, for example, 0.8849, the calculation for the area between the scores would be 0.9332 - 0.8849 = 0.0483. This represents the proportion of the distribution that lies between z-scores +1.2 and +1.5.