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

question 101

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:

Left Elbow

The joint connecting the forearm and the upper arm on the left side of the body, enabling bending and rotating movements of the forearm.

Diagnosis Codes

Numeric or alphanumeric codes used to classify and document diseases, disorders, conditions, and injuries.

Principal Diagnosis

The primary condition that, after study, is established as chiefly responsible for a patient's hospital stay or medical visit.

Amoxicillin

A widely-used antibiotic belonging to the penicillin group, effective against a variety of bacterial infections.