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Confidence in a range estimate, and +- 2sigma rule of thumb @dipetkov: When I wrote "is there an observable random interval similar to 𝑋¯±𝑧𝛼 2 (𝑠 𝑛√) that includes the whole 𝜇±2𝜎 range (1−𝛼) percent of the time?", what I meant was: "is there an observable random interval that includes the whole 𝜇±2𝜎 range (1−𝛼) percent of the time ? (in the same way that similar to 𝑋¯±𝑧𝛼 2 (𝑠 𝑛√) includes
hypothesis testing - Type II error or no error? - Cross Validated I get stuck in the following question: You set up a two-sided hypothesis test for a population mean μ with a null hypothesis of : μ=100 You chose a significance level of α=0 05 The p-value calcu
One sided test $H_0:\mu=0$ or $H_0:\mu\leq 0$? [duplicate] The alternative hypothesis, or rather the (infinitely large) set of alternatives is defined based on the hypothesis, i e for H0: μ <= 0, the set of alternatives included every u1 > 0, while for H0: μ = 0, the set includes every μ1 != 0