Question

find the z - score for which 70% of the distributions area lies to its right. click to view page 1 of the table. click to view page 2 of the table.

a. - 0.53
b. - 0.81
c. - 0.47
d. - 0.98

Explanation:

Step1: Determine the area to the left

If 70% of the area lies to the right of the z - score, then the area to the left of the z - score is $1 - 0.70=0.30$.

Step2: Use the standard normal table

We look up the value 0.30 in the body of the standard - normal (z - score) table. The closest value to 0.30 in the standard - normal table gives us a z - score. Looking up the value in the z - table, the z - score corresponding to an area of approximately 0.30 is $z\approx - 0.53$.

Answer:

A. - 0.53