In an experiment to determine whether there is a systematic difference between the weigh obtained with two different mass balances, six specimens were weighed, in grams, on eac balance. The following data were obtained:
$\begin{array}{crr}
\hline \text { Specimen } & {\mathrm{A}} & {\mathrm{B}} \
\hline 1 & 14.86 & 14.83 \
2 & 9.44 & 9.41 \
3 & 11.99 & 11.99 \
4 & 9.27 & 9.26 \
5 & 6.13 & 6.13 \
6 & 13.78 & 13.76 \
\hline
\end{array}$

Compute the test statistic.
A) 2.666
B) 1.083
C) 2.433
D) 0.313

Question

In an experiment to determine whether there is a systematic difference between the weigh obtained with two different mass balances, six specimens were weighed, in grams, on eac balance. The following data were obtained:
$\begin{array}{crr}
\hline \text { Specimen } & {\mathrm{A}} & {\mathrm{B}} \
\hline 1 & 14.86 & 14.83 \
2 & 9.44 & 9.41 \
3 & 11.99 & 11.99 \
4 & 9.27 & 9.26 \
5 & 6.13 & 6.13 \
6 & 13.78 & 13.76 \
\hline
\end{array}$

Compute the test statistic.
A) 2.666
B) 1.083
C) 2.433
D) 0.313

Quizplus · Accepted Answer

The test statistic is calculated as the difference between the means of the two samples divided by the standard deviation of the differences. In this case, the mean of the differences is 0.025 and the standard deviation of the differences is 0.023. Therefore, the test statistic is 0.025 / 0.023 = 1.083.

In an Experiment to Determine Whether There Is a Systematic