use the accompanying table of z - scores and percentiles to find the percentage of data items in a normal…

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 - 2.5. 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.)

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 - 2.5. 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.)

Answer

Explanation:

Step1: Use z - score table

By looking up the z - score of - 2.5 in the standard normal distribution table (z - score table), we can find the proportion of data below this z - score. The table gives the cumulative distribution function value for a given z - score.

Step2: Find the percentage

The value in the z - score table for z=-2.5 is 0.0062. To convert this proportion to a percentage, we multiply by 100. So, $0.0062\times100 = 0.62%$.

Answer:

0.62