find the indicated z score. the graph depicts the standard normal distribution with mean 0 and standard…

Answer:

$-0.92$

Explanation:

Step1: Use the standard normal distribution table

We know that for the standard normal distribution (Z\sim N(0,1)), we are given the area to the left of (z) (the shaded area) is (A = 0.1736). We look up the value (0.1736) in the body of the standard - normal distribution table (the (z) - table). The standard - normal distribution table gives the cumulative probability (P(Z\leq z)).

Step2: Locate the (z) - value

Scanning the table, when we look for the probability closest to (0.1736). In the (z) - table, the row and column headers give the (z) - value. For a cumulative probability of approximately (0.1736), the (z) - value is (z=- 0.92) (since the area is to the left of (z = 0) and (z) - scores to the left of (0) are negative).