Solved: The chi-square distribution is skewed, but as the
Chapter 5, Problem 11E(choose chapter or problem)
Refer to Exercise Use the normal approximation to estimate the critical values \(X_{100,0.025}^{2}\) and \(X_{100,0.975}^{2}\) for a
confidence interval, and construct a
confidence interval for
.
A more accurate normal approximation to \(X_{k, a}^{2}\) is given by \(X_{k, a}^{2} \approx 0.5\left(Z_{a}+\sqrt{2 k-1)^{2}}\right.\), where is the z-score that has area
to its right.
Equation transcription:
Text transcription:
X_{100,0.025}^{2}
X_{100,0.975}^{2}
X_{k, a}^{2}
X_{k, a}^{2} \approx 0.5\left(Z_{a}+\sqrt{2 k-1)^{2}}\right.
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