In certain hospital, nurses required to constantly make rounds to check in on patients. Nursing supervisor would like to know if there is a difference between rounds completed per shift by nurses on day shift compared to night. Supervisor checks records of 77 day nurses and finds they complete average of 32 rounds per shift with standard deviation of 4.1 rounds per shift. Also checks records of 72 night nurses and finds they complete average of 26 rounds per shift with standard deviation of 6.3 rounds per shift. Find 95% confidence interval for estimating the difference in population means. Can you be 95% confident that there is a difference in the means of two populations? Which equation would you use? State final answer to problem.