In a Study of Effectiveness of Physical Exercise on Weight $\alpha = 0.02 .$

question 10

Essay

In a study of effectiveness of physical exercise on weight loss, 20 people were randomly selected to participate
in a program for 30 days. Test the claim that exercise had no bearing on weight loss. Assume the samples are
random and dependent, and the populations are normally distributed. Use $\alpha = 0.02 .$ $\begin{array}{l|c|c|c|c|c|c|c|c|c|c|}\text { Weight before Program } &178&210&156&188&193&225&190&165&168&200\\\text { (in pounds) }\\\hline \text { Weight after Program } &182&205&156&190&183&220&195&155&165&200\\\text { (in pounds) }\\\end{array}$ $\begin{array}{l|c|c|c|c|c|c|c|c|c|c|}\text { Weight before Program } &186&1725&166&184&225&145&208&214&148&174\\\text { (in pounds) Con't }\\\hline \text { Weight after Program } &180&173&165&186&240&138&203&203&142&174\\\text { (in pounds) Con't }\\\end{array}$

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Definitions:

Personal Property Tax

Taxes imposed on movable properties, such as vehicles and equipment, as opposed to real estate.

Deductible

An expense that can be subtracted from gross income to reduce the amount of income subject to tax, often related to business expenses, healthcare costs, and certain individual deductions.

Itemized Deduction

Deductions from income that taxpayers can claim for specific expenses, as opposed to taking a standard deduction.

Home Equity Indebtedness

Debt secured by a qualified residence that exceeds the acquisition indebtedness, with interest on such debt often being deductible under U.S. tax law.