Process Evaluation You are part of the Process Optimization Team at a major hospital in Vancouver. Your team is working with a new intern to analyze and improve patient flow in the Radiology Department, specifically focusing on walk-in X-ray services. One of the key areas of interest is the wait time from check-in to the start of the X-ray procedure. The intern has collected data on non-appointment walk-in patients who arrive between 7:00AM and 12:00PM on Mondays, which is known to be a high-traffic period due to weekend backlog. The data includes the number of minutes from check-in to the start of the X-ray. The intern has also segmented the data and found that during this time window, the system behaves consistently. She has provided a summary table of wait times (in minutes) for walk-in patients on Mondays between 7:00AM and 12:00PM. Measure Value (minutes Minimum 27.41 12.03 11.84 Standard Deviation Answer the following questions. a) Based on the summary data provided by the intern, write a statement that informs patients about what they can expect in terms of wait time for walk-in X-ray services. Use percentages and avoid technical jargon or direct reference to summary statistics. For instance, it may say something like this \"based on our historical data, x% of patients experience a wait time that is...\" or something similar. Use your judgment and creativity to produce an informative statement. Make sure to use % somewhere in your statement. Note: this statement may be displayed on the monitors during the period. b) The intern later confirms that the wait time data is approximately Normally distributed. Using this information and the summary table, write a new statement that informs patients about expected wait times, again using percentages and avoiding technical terms. Note: this statement may be displayed on the monitors during the period. c) Using the assumption of Normal distribution and the summary measures, calculate the probability that a patient will wait more than 15 minutes for their X-ray procedure. Note: solve this using both methods, Excel syntax and the z-table. For the solution using z-table, make sure to either type or show hand-written procedure for this part. d) The intern also analyzed wait times for walk-in patients between 1:00PM and 5:00PM on Fridays, and found that the wait time is uniformly distributed between 5 and 20 minutes. What is the average wait time for a patient during this period. Note: Please make sure to either type or show hand-written procedure for this part. e) Based on the distribution in part (d), what is the probability that a patient will wait more than 18 minutes for their X-ray procedure if they arrived between 1:00PM and 5:00PM on a Friday? Show your steps. Note: Please make sure to either type or show hand-written procedure for this part