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The Manager of a Fast Food Restaurant Wants to Determine

question 148

Essay

The manager of a fast food restaurant wants to determine how sales in a given week are related to the number of discount vouchers (#) printed in the local newspaper during the week. The number of vouchers and sales ($000s) from 10 randomly selected weeks is given below with Excel regression output.  Number of vo uchers  Sales 412.8715.4513.9311.21918.71017.9816.8615.9311.5513.9\begin{array} { | c | c | } \hline \text { Number of vo uchers } & \text { Sales } \\\hline 4 & 12.8 \\\hline 7 & 15.4 \\\hline 5 & 13.9 \\\hline 3 & 11.2 \\\hline 19 & 18.7 \\\hline 10 & 17.9 \\\hline 8 & 16.8 \\\hline 6 & 15.9 \\\hline 3 & 11.5 \\\hline 5 & 13.9 \\\hline\end{array}  The manager of a fast food restaurant wants to determine how sales in a given week are related to the number of discount vouchers (#) printed in the local newspaper during the week. The number of vouchers and sales ($000s) from 10 randomly selected weeks is given below with Excel regression output.  \begin{array} { | c | c | }  \hline \text { Number of vo uchers } & \text { Sales } \\ \hline 4 & 12.8 \\ \hline 7 & 15.4 \\ \hline 5 & 13.9 \\ \hline 3 & 11.2 \\ \hline 19 & 18.7 \\ \hline 10 & 17.9 \\ \hline 8 & 16.8 \\ \hline 6 & 15.9 \\ \hline 3 & 11.5 \\ \hline 5 & 13.9 \\ \hline \end{array}    Test the significance of the slope against a suitable alternative, at the 5% level of significance. Justify your choice of the direction in your alternative hypothesis. Test the significance of the slope against a suitable alternative, at the 5% level of significance. Justify your choice of the direction in your alternative hypothesis.


Definitions:

Depletion Expense

A method of allocating the cost associated with the exhaustion of natural resources (like minerals, oil, and gas) over their productive life.

Development Costs

These are the expenses associated with the research and development of new products or services, often considered in the valuation of a company.

Removable Ore

Ore that can be extracted and processed from a mine site for a profit.

Original Condition

The state of an asset or item as it was initially acquired or received, before any modifications, repairs, or restoration.

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