Problem Scenario 1:

The following is a problem description. Use the mean & variance provided to answer the questions which follow, showing all calculations BY HAND. For all hypothesis tests, you MUST show all 7 steps we have been using and use the CRITICAL VALUE METHOD to make your decision. Treat each question as a separate problem -- we use the same data set but are answering different "research questions".

Fitness Training

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. If you include both rules in step 4 or include both in your decision step, I will have to conclude that you do not yet understand them.