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

question 6

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?

---

Definitions:

VIN

Stands for Vehicle Identification Number, a unique code used to identify individual motor vehicles.

Transmission Ratio

The ratio between the rotational speeds of two connected parts in a transmission system.

MSDS Sheet

Material Safety Data Sheet, a document that provides safety and health information regarding chemicals, compound materials, and mixtures.

Hazardous Waste

Waste materials that are dangerous or potentially harmful to public health or the environment.