In an Experiment to Determine Whether There Is a Systematic

question 64

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.

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Definitions:

Marginal Costs

The supplementary expense incurred from making one more unit of a product or service.

Fixed Costs

Costs that do not vary with the level of output in the short term, such as rent, salaries, and loan payments.

Total Revenue

The total amount of money received by a firm from the sale of its goods or services, calculated as price times quantity sold.

Total Variable Cost

The total of all costs that vary with the level of production, such as materials and labor costs.