Problem

Make the given changes in the indicated examples …

Problem 1 Easy Difficulty

Make the given changes in the indicated examples of this section and then solve the indicated problem.
In Example 1, change the second $\sigma$ from 10 to 5 and then describe the curve that would result in terms of either or both curves shown in Fig. 22.11.

Answer

would be centered as for the right curve.

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Basic Technical Mathematics with Calculus

Chapter 22

Introduction to Statistics

Section 4

Normal Distributions

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Video Transcript

welcome to enumerate in the current problem. We are given that there are two normally distributed bds Okay, so in the left run, if you see we have the mean to be seductive which is this. And since sigma is five we see a shape like this. Whereas if mean increases from 10 to 20 we see that the peak has shifted and since sigma instant. So this will be flattered with that respect because it will be far far more uh spread over the horizontal axis. Now the question that is asked over here is for the second distribution is sigma becomes five, then what will happen? So if you see if mu is equal to 10, sigma is equals 25 we get the first one. Now what if I mean shifts to 15 but sigma remains fixed. So it will be the same diagram fix that 15. That is a distribution like this will be dead. So now you can understand if we do shift it a little further to 20 keeping sigma constant, we will get a distribution a distribution like this. This is the first one centered back definitely. Since I'm enjoying these free hands. These are not as accurate as the blue one, but you can understand that impact of mu. She does a shift in the diagram, whereas shifting sigma will change the wickedness or the flatness or the dispersion of the distribution and hence mute justifies to be a measure measure of this person. So I hope you could understand this. Let me know if you have any questions.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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