Question

find the z - score such that the area under the standard normal curve to the right is 0.11. the approximate z - score that corresponds to a right tail area of 0.11 is (round to two decimal places as needed.)

Explanation:

Step1: Find the cumulative area

The area to the right of \(z\) is \(0.11\). So the cumulative area (area to the left of \(z\)) is \(1 - 0.11=0.89\).

Step2: Use the standard - normal table

Look up the value \(0.89\) in the body of the standard - normal (\(z\)) table.
The closest value to \(0.89\) in the standard - normal table:
The standard - normal table gives \(z\) values. For a cumulative area of \(0.89\), \(z\approx1.23\) (by looking at the intersection of the row and column in the \(z\) - table. For example, if using a standard \(z\) - table, the row for \(1.2\) and column for \(0.03\) gives a cumulative probability close to \(0.89\)).

Answer:

\(1.23\)