There Are Different Approaches to Fitness Training Determine Whether These Data Are Sufficient to Infer at the One

question 98

Essay

There are different approaches to fitness training. To judge which one of two approaches is better, 200 25-year-old men were randomly selected to participate in an experiment. For four weeks, 100 men were trained according to approach 1 while the other 100 men were trained according to approach 2. The percentage improvement in fitness was measured for each man and the statistics shown below were computed. The percentage figures are known to be normally distributed. $$\begin{array} { | c | c | } \hline \text { Approach 1 } & \text { Approach 2 } \\\hline \bar { x } _ { 1 } = 27.3 & \bar { x } _ { 2 } = 33.6 \\\hline s _ { 1 } ^ { 2 } = 47.614 & s _ { 2 } ^ { 2 } = 28.09 \\\hline\end{array}$$ Determine whether these data are sufficient to infer at the 5% significance level that the two population variances differ.

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Definitions:

Estimated Salvage Value

The projected value of an asset at the end of its useful life, used in calculating depreciation.

Straight-Line Depreciation

A method of allocating an asset's cost evenly across its useful life.

Useful Life

The estimated time period that an asset is expected to be usable for the purpose it was acquired, influencing depreciation calculations and capital budgeting.

Straight-Line Method

A method of calculating depreciation of an asset by evenly spreading its cost over the expected useful life of the asset.