Likelihood ratio and standard tests
Why this is asked: Match the situation to the test and remember the degrees of freedom. For confidence intervals, watch whether the quantile is upper or lower and whether σ is known.
Standard tests and confidence intervals
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The trap here
“Any interval of the form with a 90% quantile t is a 90% confidence interval” — false
t = under the convention th quantile
That t is the 10th percentile, so the interval has coverage 10%, not 90%.
Next: Gauss–Markov, regression, ANOVA basics
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Open this in the full syllabus view · Unit 4