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 $0.95$ to its right is around $- 1.645 .$

Step by step solution

Given information

The given area is $0.95 .$

Explanation

The given area is $0.95$

The $z -$ score for which the area under the standard normal curve to its right is $0.95$ will 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. $0.0495$ and $0.0505$ are the nearest areas. $- 1.645$ is the average of two z-scores of $1.64$ and $- 1.65$ .

As a result, the z-score under the typical normal curve with the area $0.95$ to 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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$z_{0.10}$	$z_{0.05}$	$z_{0.025}$	$z_{0.01}$	$z_{0.005}$
$1.28$

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

Short Answer

Step by step solution

Given information

Explanation

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

Short Answer

Step by step solution

Given information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Applied Mathematics

Probability and Statistics

Calculus

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

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