Testing Hypothesis σ^2

Testing Hypothesis : Population Variance σ²

[Test Type] χ²-test
Significance Level α = (0 < α < 1)
[Sample Data] (input either sample data or sample statistics using csv / bsv)

[Sample Statistics]

	Sample Size	n	=		( > 1)
	Sample Variance	s²	=		( > 0)

[Confidence Interval] χ²_{n-1 ; 1-α/2} = χ²_{n-1 ; α/2} =

( (n-1)s² / χ²_{n-1 ; α/2} ,

(n-1) s² / χ²_{n-1 ; 1-α/2} )

⇔

( ,

)

<Figure 7.2.1> Testing hypothesis for \(\sigma^2\) using 『eStatU』

α = ⁰ ¹