There are different approaches to fitness training. To judge which one of two approaches is better, 200 twenty-five-year-old men are randomly selected to participate in an experiment. For four weeks, 100 men are trained by Approach 1 while the other 100 men are trained by Approach 2. The improvement in fitness was measured for each man and the statistics shown below were computed. The measurements are known to be normally distributed.

NOTE: use ONLY the Critical Value method for hypothesis tests.

Approach 1	Approach 2
x 1 =  27.3	x 2 =  33.6
s 1 2 =  47.614	s 2 2 =  28.09

Answer the following four parts of the question:

1. Do these results allow us to conclude at the 10% significance level that Approach 2 is superior to Approach 1 in improving fitness?
2. Estimate with 95% confidence the mean fitness improvement with Approach 2. Interpret the interval.
3. Scientists are interested in determining which of the two approaches results in more consistent fitness improvement. Do these results allow us to conclude at the 5% significance level that Approach 2 results in a more consistent improvement in fitness than approach 1? Estimate with 99% confidence the variance of the fitness improvement with Approach 1. Interpret the interval.
4. Estimate with 99% confidence the variance of the fitness improvement with Approach 1. Interpret the interval.