Question

estimate the area percentage under a normal curve between a z - score of 0.21 and 1.67.
(1 point)
38.52
36.24
36.93
37.44

Explanation:

Step1: Find the area for \(z = 0.21\)

Looking at the standard - normal table (z - table), for \(z=0.21\), the area to the left of \(z = 0.21\) is \(0.5832\).

Step2: Find the area for \(z = 1.67\)

Looking at the standard - normal table (z - table), for \(z = 1.67\), the area to the left of \(z=1.67\) is \(0.9525\).

Step3: Calculate the area between \(z = 0.21\) and \(z = 1.67\)

We use the formula \(A=A_{z = 1.67}-A_{z = 0.21}\). Substitute the values: \(A = 0.9525-0.5832=0.3693\)

Answer:

\(36.93\) (corresponds to the third option)