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Q71Section III (Statistics)71 of 84

K=μ0+z0.05 σ/nK=\mu_0+z_{0.05}\,\sigma/\sqrt n with σ=2\sigma=2

In a normal population N(μ,σ2)N(\mu,\sigma^2) with σ2=4\sigma^2=4, in order to test the null hypothesis μ=μ0\mu=\mu_0 against H1:μ=μ1H_1:\mu=\mu_1, where μ1>μ0\mu_1>\mu_0 based on a random sample of size nn, the value of K such that Xˉ>K\bar X>K provides a critical region of size α=0.05\alpha=0.05 is:

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