which of the following percentiles corresponds to the area beneath the normal curve from a z score of -1.00 to +1.00

a.98%
b.34%
c.68%
d.100%

To find the percentiles that correspond to the area beneath the normal curve between two z-scores, you can use the standard normal distribution table or a statistical software.

In this case, we need to find the area beneath the normal curve from a z-score of -1.00 to +1.00. This corresponds to the area between the z-scores of -1.00 and +1.00.

If you look at a standard normal distribution table, it shows the area under the curve for different z-scores. However, most tables only provide the area to the left of the z-score, so we will need to calculate the areas separately.

The area to the left of a z-score of -1.00 can be found in the table or calculated using a statistical software, which is 0.1587 (approximately).

Similarly, the area to the left of a z-score of +1.00 is also 0.1587.

To find the area between these two z-scores, we subtract the smaller area from the larger area:

0.1587 (area to the left of z = 1.00) - 0.1587 (area to the left of z = -1.00) = 0.3174 (approximately)

So, the area beneath the normal curve from a z-score of -1.00 to +1.00 is approximately 0.3174, which corresponds to 31.74% (approximately).

Among the given options, the closest percentage to 31.74% is 34%. Therefore, the correct answer is (b) 34%.