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Paired or independent? To construct a confidence interval for each of the following quantities, say whether it would be better to use paired samples or independent samples, and explain why.

a. The mean difference in height between identical twins.
b. The mean difference in height between men and women.
c. The mean difference in apartment rents between apartments in two different cities.
d. The mean difference in apartment rents in a certain town between this year and last year.

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anthougo

Answer:

Paired or Independent Samples

Quantities   Samples

a.                 Paired Samples because the heights of the identical twins are dependent on each other.

b.                 Independent Samples; the height of men and women are independent of the other.

c.                 Independent Samples; rents in two different cities are not expected to be dependent on each other.

d.                Paired Samples; rent in a certain town between this year and last year are dependent on each other.

Step-by-step explanation:

Paired Samples are used when there is a natural or matched coupling such that a data set is generated in which each data point in one dependent sample is uniquely paired to a data point in the second dependent sample.  In this case, the two samples are dependent on each other.

Independent Samples are used when there is a random selection of samples because their observations are independent.

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