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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. 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 \(z = 0\) is \(0.5\). The given area between \(z\) and \(0\) is \(0.2709\). So the area to the left of \(z\) is \(0.5 - 0.2709=0.2291\).

Step2: Look up the \(z\) - score in the standard normal table

Looking up the value \(0.2291\) in the standard normal table (the \(z\) - table), the corresponding \(z\) - score is approximately \(- 0.74\)

Answer:

\(-0.74\)