Question

for the standard normal curve, find the z - score that corresponds to the third quartile. click here to view page 1 of the standard normal table. click here to view page 2 of the standard normal table. a. - 0.23 b. 0.67 c. - 0.67 d. 0.77

Explanation:

Step1: Recall the definition of third - quartile

The third - quartile ($Q_3$) represents the 75th percentile. That is, the area under the standard normal curve to the left of the $z$ - score corresponding to $Q_3$ is $0.75$.

Step2: Use the standard normal table

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

Answer:

B. 0.67