GIve a correct answer for this question: when we are comparing two population means from two groups (suppose they are called Group 1 and Group 2), which of the following statistics do we use to make a confidence interval or perform a hypothesis test for a difference in means?

pancha3 2021-01-10 Answered
GIve a correct answer for this question: when we are comparing two population means from two groups (suppose they are called Group 1 and Group 2), which of the following statistics do we use to make a confidence interval or perform a hypothesis test for a difference in means?
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Expert Answer

Aamina Herring
Answered 2021-01-11 Author has 85 answers

Let μ1 be the population means of group 1. μ2 be the population means of group 2. To test H0:μ1=μ2i.e.(μ1μ2)=0 vs H1:μ1qμ2i.e.(μ1μ2)q0

Test statistic, If population S.D is unknown t=(x1x2)(μ1μ2)S1n1+1n2tn1+n22

Under Ho If population S.D is known Z=(x1x2)(μ1μ2)S1n1+1n2N(o,1),

Under Ho where, x1= sample mean from 1st group. x2= sample mean from 2nd group. S12= sample mean from 1st group. S22= sample mean from 2nd group. n1= sample mean from 1st group. n2= sample mean from 2nd group. and Sz=n1S12+n2S22n1+n22 (assuming equal variances).

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