Textbook ExpertVerified Tutor
15 Dec 2021
Given information
If the number of degrees of freedom for a chi-square distribution is 
, what is the population mean and standard deviation?
Step-by-step explanation
Step 1.
As in the Chi-square distribution, the population mean is given by the following formula
,
And the standard deviation is as follows:
Therefore, for the number of degrees of freedom given in the problem, the population mean is calculated as follows:
Using the formula for the standard deviation, yields
Hence, the population mean is and the standard deviation is 
.
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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208
Solutions
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