You are interested in the difference between two population means. Both populati

Question

You are interested in the difference between two population means. Both populations are normally distributed, and the population variances 12 and 22 are known. You use an independent samples experiment to provide the data for your study. What is the appropriate test statistic? O z = [(P1-P2)-D] / V[p1(1-p1)/n1 + p2(1-p2)/n2] Suppose instead that the populations are not normally distributed. The test statistic given is still appropriate provided that You are interested in the difference between two population means. The population variances 12 and 22 are unknown and equal. You use an independent samples experiment to generate the data for your study, and each of your samples meet the large sample requirement. What is the appropriate test statistic? z = [(P1-P2)-D] / V[p1(1-p1)/n1 + p2(1-p2)/n2] Suppose instead that one (or both) of your samples does not satisfy the large sample requirement. The test statistic given is still appropriate provided that

Explanation / Answer

a) D option

z = x1 - x2.....

appropriate provided that: sample size is large

b) A option

t = x1 - x2...

appropriate provided that: if population is normally distributed

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