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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(μ,σ2), and let Z=(X‒μ)/σ. Use Equation (4.25) to show that Z~N(0,1)

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...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780073401331

Since the solution to 19E from 4.5 chapter was answered, more than 285 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(?,?2), and let Z=(X??)/?. Use Equation (4.25) to show that Z~N(0,1)” is broken down into a number of easy to follow steps, and 12 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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