Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the indicated z score. the graph depicts the standard normal distr…

Question

find the indicated z score. the graph depicts the standard normal distribution with mean 0 and standard deviation 1.
click to view page 1 of the table. click to view page 2 of the table.
the indicated z score is
(round to two decimal places as needed.)

Explanation:

Step1: Use the standard normal distribution table

The area to the left of \(z\) - score is \(1 - 0.9633=0.0367\).

Step2: Look up the value in the \(z\) - table

Looking up the value \(0.0367\) in the standard normal distribution table (negative \(z\) - table since the area is on the left - hand side of the mean). The closest value to \(0.0367\) in the table is \(0.0367\approx0.0367\) which corresponds to a \(z\) - score of \(- 1.79\).

Answer:

\(-1.79\)