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In a Study of the Effectiveness of Physical Exercise in Weight

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In a study of the effectiveness of physical exercise in weight reduction, 12 subjects followed a program of physical exercise for two months. Their weights (in pounds)before and after this program are shown in the table. Use a significance level of 0.05 to test the claim that the exercise program has no effect on weight.  Before 162190188152148127195164175156180136 After 157194179149135130183168168148170138\begin{array} { l l } \text { Before } & 162&190&188&152&148&127&195&164&175&156&180&136 \\\hline \text { After } & 157&194&179&149&135&130&183&168&168&148&170&138\end{array}


Definitions:

Fixed Expenses

Costs that do not fluctuate with the volume of production or sales, remaining constant over a period, such as rent, salaries, and insurance premiums.

Net Operating Income

A gauge of a corporation's earnings from its main operating activities, not including the effects of interest and taxes.

Sales Increase

An upward trend in the volume or value of sales transactions over a particular period, indicating growth in business activity.

Margin of Safety

The difference between actual or projected sales and the break-even sales, indicating the amount by which sales can decline before a business incurs losses.

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