Hypothesis Testing using z-test

What is the minimum required sample size for large sample mean test?
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The Z test assumes that the population variance is
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A two sample z‐test for the difference in population means is conducted. Which is NOT a possible alternative hypothesis?
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A Z‐test for two independent population means is conducted with null hypothesis H0: μ1 = μ2. The standard error of the sampling distribution is

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Two random samples have been selected and a two sample z‐test for the difference in population means is conducted with H0: μ1 = μ2 vs. H1: μ1 ≠ μ2. The results are σ1 = 1.4, x̄1=6.8 , n1 = 40, σ2 = 1.6, x̄2=7, and n2 = 44. The p‐value is
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