Degress of freedom are used to correct for the fact that population standard deviation will always be less precise than the sample standard deviation. True or False?

Brianna Schmidt

Brianna Schmidt

Answered question

2022-10-12

Degress of freedom are used to correct for the fact that population standard deviation will always be less precise than the sample standard deviation. True or False?

Answer & Explanation

veirenca77

veirenca77

Beginner2022-10-13Added 9 answers

The population standard deviation is calculated on n observations and the sample standard deviation is calculated based on n-1 observations.
That is, the population standard deviation is less precise than the sample standard deviation.
Moreover, the degrees of freedom for testing the standard deviation is n-1, if there are n observations.
Hence, “Degrees of freedom are used to correct for the fact that population standard deviation will always be less precise than the sample standard deviation” is true.

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