PROBLEM 3 (15 points) Just Right Incorporated manufactures a device for monitoring and controlling the room temperatures in large institutions. The device takes readings of the temperature in multiple spaces (classrooms, offices, auditoriums, closets, storage areas, etc.) in buildings across the institution. For one institution using these devices, Clendon University, when the outside temperature rises above 60 the air conditioning mode is activated. When the outside temperature drops below 50, the heating mode is activated. When the outside temperature is between 50 and 60, the system is expected to remain in "neutral mode. However, recently Just Right Inc. has been receiving complaints from Clendon University stating that even when the system is set to these predetermined temperatures, the actual temperature in the spaces are often much lower or much higher than the room setpoints (between 50 and 60). Because of this, high heating/cooling costs are being incurred due to lack of control in the building HVAC systems or room thermostats. In order to investigate the validity of these complaints, Just Right's product manager decided to launch a project to determine whether the devices were experiencing excessive variation and if the devices were capable of meeting the customer specifications. Below is the control chart (based on 3 sigma control limits) that was created when 30 samples of 5 temperature readings each were taken at Clendon University. a) If the customer specification is 55 degrees = 5 degrees, calculate Cp and Cpk to determine if the process capable of meeting the customer specification? Round calculations to 3 decimal places. Show your work b) Express whether or not the process is capable and provide a thorough interpretation of your results. X-bar Chart 65.00 60.18 60.00 53.36 Average Temperature (degrees) 50.00 46.53 45.00 - X-bar X-double bar UCLX LCLX 40.00 + 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Sample Number