Question

For df=8d f=8 and the constant AA, identify the value of A such that

e. P(χ2<A)=0.975P\left(\chi^2<A\right)=0.975

Solution

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Answered 1 year ago
Answered 1 year ago
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Let AA be in the chi-square distribution (χ2)(\chi^2). Note that the parameters needed to determine the value of AA are degrees of freedom (df)(df) and the area in the right tail under the chi-square distribution curve (α)(\alpha).

Since the given parameter for area is concerned with the left tail instead of the right tail, calculate the area in the right tail by subtracting 11 by the area in the left tail.

α=10.975=0.025\alpha=1-0.975=0.025

The area in the right tail under the chi-square distribution curve is α=0.025\alpha=0.025.

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