3. When engaging in weight-control (fitness/fat burning) types of exercise, a person is expected to attain about 60% of their maximum heart rate. For 20-year-olds, this rate is approximately 120 bpm. A simple random sample of 200 20-year-olds was taken, and the sample mean was found to be 107 bpm with a standard deviation of 45 bpm. Researchers wonder if this is evidence to conclude that the expected level is lower than 120 bpm. (a) What are the conditions for inference? And are they satisfied? (b) Test the following hypotheses at 5% significance level follow the five steps. Ho a=120, H p