There Are Different Approaches to Fitness Training Do These Results Allow Us to Conclude at the 5

question 49

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. $$\begin{array} { | c | c | } \hline \text { Approach 1 } & \text { Approach 2 } \\\hline \bar { x } _ { 1 } = 27.3 & \bar { x } _ { 2 } = 33.6 \\\hline s _ { 1 } ^ { 2 } = 47.614 & s _ { 2 } ^ { 2 } = 28.09 \\\hline\end{array}$$ Do these results allow us to conclude at the 5% significance level that the variance of the percentage improvement with approach 2 is less than 40?

---

Definitions:

Unconditioned Stimulus

A stimulus that naturally triggers a response without any prior learning.

Classical Conditioning

A learning process that occurs when two stimuli are repeatedly paired: a response which is at first elicited by the second stimulus is eventually elicited by the first stimulus alone.

Behaviorists

Psychologists who focus on observable behaviors and the ways in which they're learned, rather than on emotions or thoughts.

Observable Events

Phenomena or occurrences that can be seen or measured directly by an observer.