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Chapter 6: Q. 6.75 (page 269)

Obtain the z-score that has an area of 0.95 to its right.

Short Answer

Expert verified

The Z-score under the typical normal curve with the area 0.95to its right is around-1.645.

Step by step solution

01

Given information

The given area is0.95.

02

Explanation

The given area is 0.95

The z-score for which the area under the standard normal curve to its right is 0.95will be identical to the z-score for which the area under the standard normal curve to its left is 1-0.95=0.05.

Begin by looking for the area 0.05 in the table's body. The item isn't on the table. 0.0495and 0.0505are the nearest areas. -1.645is the average of two z-scores of 1.64and -1.65.

As a result, the z-score under the typical normal curve with the area 0.95to its right is around -1.645, which can be rendered as

Below is a section of the standard normal table that is relevant:

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