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?

Recognize the symbols and formulas for population and sample statistics.

Analyze and interpret histograms and their characteristics.

Understand the measures of relationship between variables (correlation).

Calculate and interpret coefficients of variation, skewness, and kurtosis as measures of relative dispersion, asymmetry, and peakedness of distributions respectively.