Final answer:
The best corresponding 95% confidence interval for change in heart rate due to aerobic exercise is (7.30, 9.15). This interval allows us to assert with high confidence where the true population mean change in heart rate lies, within the context of maintaining a heart rate that optimizes cardiovascular benefits during aerobic exercises.
Step-by-step explanation:
The best corresponding 95% confidence interval for the change in heart rate due to aerobic exercise is (7.30, 9.15). This interval means we can be 95% confident that the true population mean change in heart rate due to aerobic exercise falls between 7.30 and 9.15 beats per minute. To arrive at a confidence interval like this, one would typically calculate the mean change in heart rate from a sample and then use statistical methods to infer this interval for the population.
While the provided confidence interval is for sensory rate, it serves as an example of how such intervals are interpreted. In the context of heart rate and cardiac output (CO), we understand that during aerobic exercise, both heart rate and CO will increase initially, but if the heart rate exceeds a certain threshold (above 160 bpm), CO will begin to decrease. To maintain optimal benefits of aerobic exercise, individuals should keep their heart rate within the target heart rate range of 120-160 bpm for healthy cardiovascular function.
When considering the formation of a confidence interval, factors such as the standard deviation of the data, the size of the sample, and the desired confidence level will affect the width of the interval. Typically, a 99 percent confidence interval would be wider than a 95 percent confidence interval due to the higher certainty required.