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Chapter 11: Q.1 (page 652)

If the number of degrees of freedom for a chi-square distribution is 25, what is the population mean and standard deviation?

Short Answer

Expert verified

When the number of degrees of freedom for a chi-square distribution is 25,the population mean is 25 and the standard deviation is7.07.

Step by step solution

01

Given information

Given in the question that, We need to find the population mean and standard deviation if the number of degrees of freedom for a chi-square distribution is25.

02

Explanation

The population mean in a chi-square distribution is given as

渭x2=df

and the standard deviation is calculated as

蟽x2=2脳df

The degree of freedom is now set to25in the question, and the population mean is determined as follows:

渭x2=df

=25

鈬�渭x2=25

Also known as standard deviation, it is determined as follows:

蟽x2=2脳df

=2脳25=50=7.071鈮�7.07

鈬�蟽x2=7.07

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