In an Experiment to Determine Whether There Is a Systematic $i$

question 77

Essay

In an experiment to determine whether there is a systematic difference between thi weights obtained with two different mass balances, six specimens were weighed, $i$ grams, on each balance. The following data were obtained:
$\begin{array}{crr}\hline \text { Specimen } & {\mathrm{A}} & {\mathrm{B}} \\\hline 1 & 13.72 & 13.71 \\2 & 8.76 & 8.75 \\3 & 10.99 & 11.00 \\4 & 7.20 & 7.18 \\5 & 9.91 & 9.90 \\6 & 12.73 & 12.71 \\\hline\end{array}$

Can you conclude that the mean weight differs between the two balances?
i). State the null and alternative hypotheses.
ii). Compute the test statistic.
iii). State a conclusion using the $\alpha = 0.10$ level of significance.

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