A researcher is conducting a matched-pairs study.She gathers data on each pair in the study resulting in: $$\begin{array} { | c | c | c | }
\hline \text { Pair } & \text { Group 1 } & \text { Group 2 } \
\hline 1 & 10 & 12 \
\hline 2 & 8 & 9 \
\hline 3 & 11 & 11 \
\hline 4 & 8 & 10 \
\hline 5 & 9 & 12 \
\hline
\end{array}$$ Assume that the data are normally distributed in the population.The degrees of freedom in this problem are _______.
A)4
B)8
C)5
D)9
E)3

Question

A researcher is conducting a matched-pairs study.She gathers data on each pair in the study resulting in: $$\begin{array} { | c | c | c | } 
\hline \text { Pair } & \text { Group 1 } & \text { Group 2 } \
\hline 1 & 10 & 12 \
\hline 2 & 8 & 9 \
\hline 3 & 11 & 11 \
\hline 4 & 8 & 10 \
\hline 5 & 9 & 12 \
\hline
\end{array}$$ Assume that the data are normally distributed in the population.The degrees of freedom in this problem are _______.
A)4
B)8
C)5
D)9
E)3

Quizplus · Accepted Answer

In a matched-pairs study, the degrees of freedom (df) are calculated as the number of pairs minus one. Here, there are 5 pairs, so the degrees of freedom are 5 - 1 = 4.

A Researcher Is Conducting a Matched-Pairs Study Assume That the Data Are Normally Distributed in the Population