QUESTION IMAGE
Question
what is the difference between two samples that are dependent and two samples that are independent? give an example of each.
two samples are dependent when
one exampthe sample selected from one population is not related to the sample selected from the other population.
each member of one sample corresponds to a member of the other sample.
Brief Explanations
To determine when two samples are dependent, we analyze the options:
- The first option ("the sample selected from one population is not related to the sample selected from the other population") describes independent samples, as independent samples have no relationship between their members.
- The second option ("each member of one sample corresponds to a member of the other sample") is the definition of dependent samples. For example, measuring the weight of the same group of people before and after a diet (each person in the "before" sample corresponds to themselves in the "after" sample) is a dependent sample scenario.
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each member of one sample corresponds to a member of the other sample.