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Textbook Expert
Textbook ExpertVerified Tutor
15 Dec 2021

Given information

If , the distribution is _____________. If , the distribution is ________________.

Step-by-step explanation

Step 1.

In the given case, when ,  

The Chi-square distribution curve can be approximated as a normal distribution curve.

Let the correspondence between them be represented by  , then

The population means can be calculated as follows:

 

Thus, the random variable in the case of Chi-square distribution in the form of the normal distribution is approximated as follows:

.

If , the distribution is right-skewed because the curve of Chi-square distribution is one with a right bend. 

Hence, If , the distribution is  . If , the distribution is .

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