Test Hypotheses Regarding Matched-Pairs Data
-Data sets $\mathrm { A }$ and $\mathrm { B }$ are dependent. Find $\overline { \mathrm { d } }$.
$\begin{array}{c|ccccc}
\mathrm{A} & 7.2 & 8.2 & 10.1 & 7.1 & 7.2 \
\hline \mathrm{B} & 9.6 & 8.5 & 8.4 & 8.3 & 9.7
\end{array}$

Assume that the paired data came from a population that is normally distributed.
A) $- 0.94$
B) $- 0.76$
C) $0.58$
D) $0.89$

Question

Test Hypotheses Regarding Matched-Pairs Data
-Data sets $\mathrm { A }$ and $\mathrm { B }$ are dependent. Find $\overline { \mathrm { d } }$.
$\begin{array}{c|ccccc}
\mathrm{A} & 7.2 & 8.2 & 10.1 & 7.1 & 7.2 \
\hline \mathrm{B} & 9.6 & 8.5 & 8.4 & 8.3 & 9.7
\end{array}$

Assume that the paired data came from a population that is normally distributed.
A) $- 0.94$
B) $- 0.76$
C) $0.58$
D) $0.89$

Quizplus · Accepted Answer

The mean difference $\overline { \mathrm { d } }$ is calculated by finding the difference between each pair of A and B, then averaging those differences. The differences are: $-2.4, -0.3, 1.7, -1.2, -2.5$. The average of these differences is $\frac{-2.4 - 0.3 + 1.7 - 1.2 - 2.5}{5} = \frac{-4.7}{5} = -0.94$.

Test Hypotheses Regarding Matched-Pairs Data -Data Sets A\mathrm { A }A

Test Hypotheses Regarding Matched-Pairs Data
-Data Sets $\mathrm { A }$