Question

Independent and Dependent Samples Which of the following involve independent samples?

A) Data Set 14 "Oscar Winner Age" in Appendix B includes pairs of ages of actresses and actors at the times that they won Oscars for Best Actress and Best Actor categories. The pair of ages of the winners is listed for each year, and each pair consists of ages matched according to the year that the Oscars were won.
B) Data Set 15 "Presidents" in Appendix B includes heights of elected presidents along with the heights of their main opponents. The pair of heights is listed for each election.
C) Data Set 26 "Cola Weights and Volumes" in Appendix B includes the volumes of the contents in 36 cans of regular Coke and the volumes of the contents in 36 cans of regular Pepsi.

Answer 1

(A) Independent

(B) Independent

(C) Independent

Explanation:

Independent samples are those samples are drawn from two different population.

Dependent samples are sample collected from the same population but at different times. They are also known as matched pair samples.

(A)

The data collected is for the pair of ages of actresses and actors at the times that they won Oscars for Best Actress and Best Actor categories.

That is the data is in the form (x, y). Here x represents the age of actresses and y represents the age of actors.

Since the data is collected from two different population of male and female, the sample are independent.

(B)

The data collected is for the heights of elected presidents along with the heights of their main opponents.

Again the data is in the form (x, y). Here x represents the heights of elected presidents and y represents the heights of the main opponents.

The samples collected is independent.

(C)

The data collected is for the volumes of the contents in 36 cans of regular Coke and the volumes of the contents in 36 cans of regular Pepsi.

Again the data is in the form (x, y). Here x represents the volumes in the regular Coke cans and y represents the volumes in the regular Pepsi cans.

The samples collected is independent.