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 weights obtained with two different mass balances, six specimens were weighed, in grams, on each balance. The following data were obtained:
$\begin{array}{crr}\hline \text { Specimen } & {\mathrm{A}} & {\mathrm{B}} \\\hline 1 & 13.05 & 13.07 \\2 & 6.38 & 6.40 \\3 & 5.00 & 4.95 \\4 & 13.33 & 13.29 \\5 & 10.56 & 10.55 \\6 & 12.92 & 12.92 \\\hline\end{array}$

State the null and alternate hypotheses.

A) $H _ { 0 } : \mu _ { d } = 0 , H _ { 1 } : \mu _ { d } = 0.01$
B) $H _ { 0 } : \mu _ { d } > 0 , H _ { 1 } : \mu _ { d } < 0$
C) $H _ { 0 } : \mu _ { d } = 0 , H _ { 1 } : \mu _ { d } \neq 0$
D) $H _ { 0 } : \mu _ { d } = 0 , H _ { 1 } : \mu _ { d } < 0$