There Are Different Approaches to Fitness Training Estimate with 95% Confidence the Variance of the Percentage Improvement

question 64

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. $$\begin{array} { | c | c | } \hline \text { Approach } 1 & \text { Approach } 2 \\\hline \bar { X } _ { 1 } = 27.3 & \bar { X } _ { 2 } = 33.6 \\\hline s _ { 1 } ^ { 2 } = 47.614 & s _ { 2 } ^ { 2 } = 28.09 \\\hline\end{array}$$ Estimate with 95% confidence the variance of the percentage improvement with approach 1.

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Definitions:

Socially Desirable

Pertaining to behaviors or attitudes that are deemed acceptable and desirable by society, often influencing individuals to act in certain ways to gain social approval.

Test-taker

An individual who participates in an examination or assessment to evaluate their knowledge, skills, competencies, or physical condition.

Correlational Method

A statistical technique that measures the degree of the relationship between two variables, expressed by the correlation coefficient.

Psychological Makeup

The combination of emotional, mental, and personality characteristics that define an individual.