Final answer:
To find the area under the standard normal curve between Z=-0.08 and Z=0.08, look up the areas to the left of each Z-score in a Z-table and subtract the smaller from the larger. Alternatively, utilize technology for precise calculations.
Step-by-step explanation:
To determine the area under the standard normal curve that lies between Z=-0.08 and Z=0.08, we use a Z-table. The Z-table provides the area to the left of a given Z-score. Therefore, you must look up the area to the left of Z=-0.08 and the area to the left of Z=0.08.
We then subtract the smaller area (to the left of Z=-0.08) from the larger area (to the left of Z=0.08) to find the area between the two Z-scores. If the Z-table is not at hand, or the exact values are not listed, we can use technology such as the invNorm function on a graphing calculator or statistical software to get the areas.
Assuming symmetry of the standard normal distribution, the areas to the left of Z=-0.08 and to the left of Z=0.08 are the same, and because the total area under the curve is 1, twice the area to the left of Z=0.08 will give us the area between the two Z-scores.