Question

find the z - score that best satisfies the condition. 23% of the total area is to the right of z. click here to see page 1 of the table for areas under the standard normal curve. click here to see page 2 of the table for areas under the standard normal curve. z = □ (round to the nearest hundredth.)

Explanation:

Step1: Find the area to the left

If 23% of the area is to the right of z, then the area to the left of z is $1 - 0.23=0.77$.

Step2: Use the z - table

Looking up the value 0.77 in the standard - normal z - table (the cumulative distribution function of the standard normal distribution $\varPhi(z)$), we find the corresponding z - score. The closest value in the z - table to 0.77 gives us the z - score.

Answer:

$z = 0.74$