Mathematics · Confidence Intervals

Let X 1 , X 2 be a random sample from N(0, σ 2 ) distribution, where σ > 0. Suppose, for some constant c, (c(X 1 2 + X 2 2 ), ∞) is a confidence interval for variance σ 2 with confidence coefficient 0.95. Then the value of c is equal to:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Correct answer

-1 / (2 ln(0.05))

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Let X 1 , X 2 be a random sample from N(0, &sigma; 2 ) distribution, where &sigma; > 0. Suppose, for some constant c, (c(X 1 2 + X 2 2 ), &infin;) is a confidence interval for variance &sigma; 2 with confidence coefficient 0.95. Then the value of c is equal to: