we have considered one-sided z-tests. Assume that we have observed samples ₁,...,n and y₁,..., Yny, which we can describe using the model X₁,..., Xnz ~ N(Mx, 0²2) _.i.d. and Y₁,..., Yn ~ N(₂0²) i.i.d., where the variances o² and ² are known. Following

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we have considered one-sided z-tests. Assume that we have observed samples
1,...,n and y₁,..., Yny, which we can describe using the model X₁,..., Xnz ~ N(Hz, 0²12)
i.i.d. and Y₁,..., Yny ~ N(µy, 0²) i.i.d., where the variances o2 and o are known. Following
the same steps we used for other variants of the z-test, derive tests for the hypotheses
Ho: Mx My and Ho: Mx ≥y, respectively.
Transcribed Image Text:we have considered one-sided z-tests. Assume that we have observed samples 1,...,n and y₁,..., Yny, which we can describe using the model X₁,..., Xnz ~ N(Hz, 0²12) i.i.d. and Y₁,..., Yny ~ N(µy, 0²) i.i.d., where the variances o2 and o are known. Following the same steps we used for other variants of the z-test, derive tests for the hypotheses Ho: Mx My and Ho: Mx ≥y, respectively.
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