Question

which z - values correspond to the top 88% of the standard normal distribution?
round your answer to the nearest thousandth.
< z

Explanation:

Step1: Find the area to the left

The top \(88\%\) means the area to the right of \(z\) is \(0.88\). So the area to the left of \(z\) is \(1 - 0.88=0.12\).

Step2: Use the standard normal table (or z - table)

We look for the \(z\) - value corresponding to an area of \(0.12\). Looking up in the standard normal table, the \(z\) - value closest to an area of \(0.12\) is \(z=- 1.175\) (by interpolation or using a calculator with a normal - distribution function, for example, in Excel: \(NORM.S.INV(0.12)\)).

Answer:

\(-1.175\)