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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.5 - Problem 19e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4.5 - Problem 19e

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# Let X~N(?,?2), and let Z=(X??)/?. Use Equation (4.25) to ISBN: 9780073401331 38

## Solution for problem 19E Chapter 4.5

Statistics for Engineers and Scientists | 4th Edition

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Problem 19E

Let X ∼ N$$\left(\mu, \sigma^{2}\right)$$, and let Z = $$(X-\mu) / \sigma$$ . Use Equation (4.25) to show that Z ∼ N(0, 1).

Equation transcription:  Text transcription:

(\mu, sigma^{2})

(X-\mu) / sigma

Step-by-Step Solution:

Step 1 of 1:

In this question, we are asked to prove , using equation .

Let , and let Equation state that,

Let , and let and be constants. Then, ………..(1)

We know that,  ………(2)

From equation (2), let,  Now we can substitute value of and ,   Substitute the value of , , and into equation (1),    Hence proved.

Step 2 of 1

##### ISBN: 9780073401331

Since the solution to 19E from 4.5 chapter was answered, more than 426 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 19E from chapter: 4.5 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “?Let X ? N$$\left(\mu, \sigma^{2}\right)$$, and let Z = $$(X-\mu) / \sigma$$ . Use Equation (4.25) to show that Z ? N(0, 1).Equation transcription:Text transcription:(\mu, sigma^{2})(X-\mu) / sigma” is broken down into a number of easy to follow steps, and 28 words. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This full solution covers the following key subjects: let, show, equation, use. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4.

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