Question

identify the z - score corresponding to the indicated percentile. for the standard normal curve, find the z - score that corresponds to the third quartile. 0.77 -0.23 0.67 -0.67

Explanation:

Step1: Recall the definition of third - quartile

The third quartile ($Q_3$) represents the 75th percentile of a data - set. In the context of the standard normal distribution $Z\sim N(0,1)$, we need to find the $z$ - value such that $P(Z\leq z)=0.75$.

Step2: Use the standard normal table

We look up the value 0.75 in the body of the standard normal (z - table). The closest value in the standard normal table to 0.75 gives us the $z$ - score. Looking up in the table, the $z$ - score corresponding to a cumulative probability of 0.75 is approximately 0.67.

Answer:

C. 0.67