Question

which of the following percentages accurately estimates the area under a normal curve to the left of a z - score of 1.23? (1 point)
89.07 percent
0.8907 percent
10.93 percent
0.1093 percent

Explanation:

Step1: Use the standard normal distribution table

The standard normal distribution table (z - table) gives the cumulative probability \(P(Z\leq z)\) for a given z - score \(z\).
For \(z = 1.23\), we look up the value in the z - table.
In the z - table, we first find the row corresponding to \(z=1.2\) and then the column corresponding to \(0.03\).
The value in the table for \(z = 1.23\) is \(0.8907\).

Step2: Convert the decimal to a percentage

To convert the decimal \(0.8907\) to a percentage, we use the formula \(Percentage=0.8907\times100\%\)

Answer:

89.07 percent