Final answer:
To find the percent of the total population between two given z-scores, we use the Z-table to locate the areas to the left of each z-score and then subtract the smaller area from the larger area. Finally, we multiply the resulting area by 100 to get the percent.
Step-by-step explanation:
To find the percent of the total population between z=1.4 and z=-2.22, we need to find the area under the normal curve between these two z-scores. We can use the Z-table to locate the area to the left of each z-score and then subtract the smaller area from the larger area.
The area to the left of z=1.4 is approximately 0.9192, and the area to the left of z=-2.22 is approximately 0.0139. Therefore, the area between these two z-scores is approximately 0.9192 - 0.0139 = 0.9053.
To find the percent, we multiply the area by 100. So, the percent of the total population between z=1.4 and z=-2.22 is approximately 90.53%.