Question

use the accompanying table of z - scores and percentiles to find the percentage of data items in a normal distribution that lie a. below and b. above a z - score of 0.7. click the icon to view the table of z - scores and percentiles. a. the percentage of data items that lie below the z - score is %. (round to two decimal places as needed.) b. the percentage of data items that lie above the z - score is %. (round to two decimal places as needed.)

Explanation:

Step1: Understand z - score and percentile relationship

The percentile corresponding to a z - score in a standard normal distribution gives the percentage of data items below that z - score.

Step2: Look up the percentile for z = 0.7

By looking at the standard z - score and percentile table (not shown here but a common statistical table), the percentile for z=0.7 is approximately 0.7580. So the percentage of data items below z = 0.7 is 75.80%.

Step3: Calculate the percentage above the z - score

The total percentage of data in a distribution is 100%. To find the percentage of data items above a z - score, we subtract the percentage below the z - score from 100. So, 100 - 75.80=24.20%.

Answer:

a. 75.80%
b. 24.20%