1. For each of the following situations, indicate whether an independent-samples
ID: 3129501 • Letter: 1
Question
1. For each of the following situations, indicate whether an independent-samples analysis or a matched-pairs analysis would be appropriate. (Do not bother to explain.)
a. You want to investigate whether cows milked by a mechanical device tend to produce more or less milk than cows milked by hand. You have 20 cows to work with, so you randomly assign half of them to be milked by machine on even numbered days of the next month and by hand on odd days, and the other half to be milked by machine on odd days and by hand on even days.
b. You want to investigate whether college freshmen tend to gain 15 pounds of weight, as the “freshman fifteen” legend suggests. You recruit 25 freshmen to participate in your study. You weigh them at the beginning of the fall term and again at the end of the fall term.
c. You want to investigate whether there is a difference in the average age of cars driven by students and faculty at your university, so you randomly select 30 students and 10 faculty members and ask them to report the age of the cars that they drive.
Explanation / Answer
a. You want to investigate whether cows milked by a mechanical device tend to produce more or less milk than cows milked by hand. You have 20 cows to work with, so you randomly assign half of them to be milked by machine on even numbered days of the next month and by hand on odd days, and the other half to be milked by machine on odd days and by hand on even days.
independent samples analysis
b. You want to investigate whether college freshmen tend to gain 15 pounds of weight, as the “freshman fifteen” legend suggests. You recruit 25 freshmen to participate in your study. You weigh them at the beginning of the fall term and again at the end of the fall term.
matched pairs analysis
c. You want to investigate whether there is a difference in the average age of cars driven by students and faculty at your university, so you randomly select 30 students and 10 faculty members and ask them to report the age of the cars that they drive.
independent samples
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