A researcher is estimating the average difference between two population means based on matched-pairs samples.She gathers data on each pair in the study resulting in: $$\begin{array} { | r | r | r | }
\hline \text { Pair } & \text { Group 1 } & \text { Group } 2 \
\hline 1 & 10 & 12 \
\hline 2 & 8 & 9 \
\hline 3 & 11 & 11 \
\hline 4 & 8 & 10 \
\hline 5 & 9 & 12 \
\hline
\end{array}$$ Assume that the data are normally distributed in the population.To obtain a 95% confidence interval, the table t value would be _______.
A)2.132
B)1.86
C)2.306
D)2.976
E)2.776

Question

A researcher is estimating the average difference between two population means based on matched-pairs samples.She gathers data on each pair in the study resulting in: $$\begin{array} { | r | r | r | } 
\hline \text { Pair } & \text { Group 1 } & \text { Group } 2 \
\hline 1 & 10 & 12 \
\hline 2 & 8 & 9 \
\hline 3 & 11 & 11 \
\hline 4 & 8 & 10 \
\hline 5 & 9 & 12 \
\hline
\end{array}$$ Assume that the data are normally distributed in the population.To obtain a 95% confidence interval, the table t value would be _______.
A)2.132
B)1.86
C)2.306
D)2.976
E)2.776

Quizplus · Accepted Answer

For a 95% confidence interval with matched pairs (n = 5 pairs), degrees of freedom (df) = n - 1 = 4. The t-table value for df = 4 at a 95% confidence level is 2.776.

A Researcher Is Estimating the Average Difference Between Two Population