## Related questions with answers

Question

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

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

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 3Let $A$ be in the chi-square distribution $(\chi^2)$. Note that the parameters needed to determine the value of $A$ are degrees of freedom $(df)$ and the area in the right tail under the chi-square distribution curve $(\alpha)$.

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 $1$ by the area in the left tail.

$\alpha=1-0.975=0.025$

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

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