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CSIR NET December 2023 · Part C (4.75 Marks)Probability, Statistics & Linear Programming#one-sided-intervals

For n ≥ 2, let X1,…,XnX_{1}, \dots, X_{n} be from N(μ,σ2)N(\mu, \sigma^{2}) with both unknown, X̄ the mean and S2S^{2} the sample variance. With zαz_\alpha and tm,αt_{m,\alpha} the (1−α)−(1 - \alpha)-th quantiles, which of the following represent 90% confidence intervals for μ\mu?

Multi-select · full marks only for the exact set · Hypothesis Testing

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