Question

use the standard normal table to find the z - score that corresponds to the given percentile. if the area is not in the table, use the entry closest to the area. if the area is halfway between two entries, use the z - score halfway between the corresponding z - scores. if convenient, use technology to find the z - score. p8 click to view page 1 of the table. click to view page 2 of the table. the z - score that corresponds to p8 is . (round to two decimal places as needed.)

Explanation:

Step1: Understand the percentile meaning

$P_8$ means the area to the left of the z - score is 0.08.

Step2: Look up in the standard - normal table

We search for the value closest to 0.08 in the body of the standard - normal table (the table that gives the cumulative distribution function of the standard normal distribution $\varPhi(z)$). Looking up the value in the standard normal table, the closest value to 0.08 is 0.0793 which corresponds to a z - score of $z=-1.41$ and the value 0.0808 which corresponds to a z - score of $z = - 1.40$. Since 0.08 is closer to 0.0793, we take the z - score as $z\approx - 1.41$.

Answer:

$-1.41$