Question

Find the area under the standard normal curve between the given z-values. Round your answer to four decimal places, if necessary.Z₁ =1.58, 22 = 1.58Answer

Answer 1

To find the area under the curve between two given z-scorers, having a z-table would be handy.

Remember that the z-table gives the area to the left of a given z-score.

For z = -1.58, the corresponding area according to the z-table is 0.05705.

Meanwhile, for z = 1.58, the corresponding area is 0.94295.

Again, these areas are to the left of the z-score given. So, if we are to find the area between them, we will have to subtract 0.94295 - 0.05705.

$\begin{gathered} Area=0.94295-0.05705 \\ Area=0.8859 \end{gathered}$

The answer is 0.8859.