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
each member of one sample corresponds to a member of the other sample. one example
is

two samples are independent when
one example
is

Explanation:

Dependent Samples:

• Definition: Each member of one sample corresponds to a member of the other sample (e.g., paired data like pre - test and post - test scores of the same group, or measurements on related subjects like twins).
• Example: Measuring the weight of 20 people before and after a diet. The “before - diet” weights form one sample, and the “after - diet” weights form the other sample. Each person's before - weight corresponds to their after - weight.

Independent Samples:

• Definition: The members of one sample do not influence the members of the other sample (the samples are from unrelated populations or groups).
• Example: Measuring the heights of 20 men (one sample) and the heights of 20 women (another sample). The height of a man in the first sample has no relation to the height of a woman in the second sample.

Answer:

• Two samples are dependent when each member of one sample corresponds to a member of the other sample. One example is measuring the weight of 20 people before and after a diet (the before - diet weights and after - diet weights of the same individuals).
• Two samples are independent when the members of one sample do not correspond to (or are not related to) the members of the other sample. One example is measuring the heights of 20 men and 20 women (the two samples of men's heights and women's heights are unrelated).