There Are Different Approaches to Fitness Training Scientists Are Interested in Determining Which of the Two Approaches

question 71

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. $$\begin{array} { | c | c | } \hline \text { Approach 1 } & \text { Approach } 2 \\\hline \bar { x } _ { 1 } = 27.3 & \bar { x } _ { 2 } = 33.6 \\\hline s _ { 1 } ^ { 2 } = 47.614 & s _ { 2 } ^ { 2 } = 28.09 \\\hline\end{array}$$ Scientists are interested in determining which of the two approaches more consistently improves fitness. Do these results allow us to conclude at the 10% significance level that approach 2 results in a more consistent improvement in fitness than approach 1?

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Definitions:

Abraham Lincoln

The 16th president of the United States, who led the country during the American Civil War and is known for abolishing slavery.

Episodic Memory

The memory of autobiographical events that can be explicitly stated, such as times, places, and emotions associated with them.

Implicit Memory

This memory type boosts task performance by utilizing earlier experiences without the person actively recognizing these experiences.

Explicit Memory

A type of long-term memory involving conscious recollection of previous experiences or information.