Teaching CSIR NET Mock Test Series Mathematical Science Statistics & Exploratory Data Analysis Sampling Distributions
Let X1, X2 be a random sample from N(0, σ2) distribution, where σ > 0 and N(μ, σ2) denotes a normal distribution with mean μ and variance σ2. Suppose, for some constant c, (c(X12 + X22), ∞) is a confidence interval for variance σ2 with confidence coefficient 0.95. Then the value of c is equal to
1
-2 ln (0.05)
2
-2 ln (0.95)
3
\(\rm -\frac{1}{2\ ln\ (0.05)}\)
4
\(\rm -\frac{1}{2\ ln\ (0.95)}\)