Question

Use the standard normal table to find the​ z-score that corresponds to the cumulative area 0.7454. If the area is not in the​ table, use the entry closest to the area. If the area is halfway between two​ entries, use the​ z-score halfway between the corresponding​ z-scores.

z=_____? (Type an integer or decimal rounded to three decimal places as​ needed.)

Answer 1

Using the standard normal table, look for 0.7454 in the table, then select the row value and place the column value next to it.

In this case, we have cumulative area = 0.7454

Using standard normal table, row value corresponding to 0.7454 is 0.6

and column value corresponding to 0.7454 is 0.06

combining the row and column value, we get z = 0.660 (zero is added at third place because there is no value in front of 0.06 column value)

So, required z value is 0.660 corresponding to cumulative area of 0.7454