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Q14Section A (Section A)14 of 60

Confidence interval consistent with rejection of the null

Consider a normal population with unknown mean μ\mu and variance σ2=9\sigma^2=9. To test H0:μ=0H_0:\mu=0 against H1:μ≠0H_1:\mu\ne0, a random sample of size 100100 is taken. Based on this sample, the test of the form ∣X‾n∣>K|\overline X_n|>K rejects the null hypothesis at 5%5\% level of significance. Then, which of the following is a possible 95%95\% confidence interval for μ\mu?

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