In which of the following tests is the variable of interest the difference between the values of the observations from the two samples rather than the actual observations themselves?
A)A test of hypothesis about the mean of a population of paired differences selected from two related samples.
B)A test of hypothesis about the difference between the means of two normally distributed populations using large independent samples.
C)A test of hypothesis about the difference between the means of two normally distributed populations using small independent samples.
D)A test of hypothesis about the difference between two population proportions,using large independent random samples.
E)A test of hypothesis about the difference between the variances of two normally distributed populations using independent samples.

Question

Quizplus · Accepted Answer

In a test of hypothesis about the mean of a population of paired differences selected from two related samples, the variable of interest is the difference between the values of the observations from the two samples, rather than the actual observations themselves. This is because the two samples are related and the focus is on the difference between the paired values, rather than the individual values themselves. The other options involve testing the means, proportions, or variances of two independent samples, which focus on the actual observations themselves.

In Which of the Following Tests Is the Variable of Interest