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

question 82

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.  Approach 1  Approach 2xˉ1=27.3xˉ2=33.6s12=47.614s22=28.09\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:

Informed Consent

A process by which a person knowingly and voluntarily agrees to participate in a particular procedure or treatment, after understanding all relevant facts and risks involved.

Implied Consent

The legal requirement for obtaining consent before providing medical care has always been tempered by the privilege to render emergency medical care without the patient's consent. This privilege is based on the theory of implied consent. The law assumes that an unconscious patient would consent to emergency care if he or she were conscious and able to consent. The health care providers may rely upon implied consent only in the absence of consent. Implied consent can never overrule the explicit rejection of medical care.

Emancipated Minor

A person who is not legally an adult (18 years of age) and may not require parental permission for medical or surgical care.

Mature Minor

A legal concept recognizing that minors may possess the maturity to make certain medical decisions on their own behalf.

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