Hypothesis_Testing_-_Two_Population_Means-_Variances_Known-_final

Hypothesis_Testing_-_Two_Population_Means-_Variances_Known-_final

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Rej. Region Acceptance Region Rej. Region Acceptance Region Rej. Region Hypothesis Testing – Two Population Means The two variances σ 1 2 and σ 2 2 known A)- ONE-TAILED TESTS: Decision Rule: 1)- Upper or Right-Tailed Tests α c < α , Reject H o & accept H a α c > α , Do not reject H o or accept H o H o : μ 1 ≤ μ 2 Z c > Z α , Reject H o and Accept H a H a : μ 1 > μ 2 Z c < Z α , Do not reject H o or Accept H o α Z c = 2 1 2 1 0 ) ( X X X X - - - σ Z α c 2)- Lower or Left –Tailed Tests H o : μ 1 ≥ μ 2 α c < α , Reject H o & accept H a H a : μ 1 < μ 2 α c > α , Do not reject H o or accept H o Z c to left of Z α , Reject H o & accept H a Z c to right of Z α , Do not reject H o or accept H o α Z c = 2 1 2 1 0 ) ( X X X X - - - Z α α c
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