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Q 17

Expert-verified

Found in: Page 385

Book edition OER 2018

Author(s) Barbara Illowsky, Susan Dean

Pages 902 pages

ISBN 9781938168208

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Short Answer

Suppose X ~ N(9, 5). What value of x has a z-score of –0.5?

The value of $x$ is $6.5$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1 Given Information

Given that, $z = - 0.5$ And,

$X ~ N (9, 5)$ Where,

$μ = 9$

$σ = 5$

We have to find the value of $x$

Step 2 Explanation

The value of $z$ -score can be calculated as below:

$z = \frac{x - μ}{σ}$

Put the provided values in the above expression. Then,

$- 0.5 = \frac{x - 9}{5}$

$x - 9 = - 0.5 \times 5$

$x = - 2.5 + 9$

$x = 6.5$

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What is the z-score of x= 9, if it is 1.5 standard deviations to the left of the mean?

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Short Answer

Suppose X ~ N(9, 5). What value of x has a z-score of –0.5?

Step by Step Solution

Step 1 Given Information

Step 2 Explanation

Most popular questions for Math Textbooks

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Introductory Statistics

Answers without the blur.

Short Answer

Suppose X ~ N(9, 5). What value of x has a z-score of –0.5?

Step by Step Solution

Step 1 Given Information

Step 2 Explanation

Most popular questions for Math Textbooks

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