In an Experiment to Determine Whether There Is a Systematic

Multiple Choice

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:
$\begin{array}{crr}\hline \text { Specimen } & {\mathrm{A}} & {\mathrm{B}} \\\hline 1 & 6.05 & 6.01 \\2 & 8.00 & 8.02 \\3 & 13.45 & 13.43 \\4 & 7.47 & 7.48 \\5 & 6.53 & 6.52 \\6 & 14.38 & 14.38 \\\hline\end{array}$

State a conclusion using the $\alpha = 0.05$ level of significance.

A) Do not reject $\mathrm { H } _ { 0 }$ . There is insufficient evidence to conclude that the mean difference differs from zero.
B) Reject $H _ { 0 }$ . The mean difference appears to differ from zero.