This test is authorized for use only by UT Dallas student Dhruva Kumar Nannapaneni (dxn210009@utdallas.edu) on Dec 7, 2021. Sharing with others is strictly prohibited. This test is authorized for use only by UT Dallas student Dhruva Kumar Nannapaneni (dxn210009@utdallas.edu) on Dec 7, 2021. Sharing with others is strictly prohibited. Q1 Vaccine Fridge at Hospital (20 points) (6 points) Draw the X-bar control chart. Based only on the X-bar control chart, is the process in control? A vaccine manufacturer hires you as a quality inspector at a hospital. In particular, the Control chart: (4 points) manufacturer suspects that the fridge in the hospital does not meet the standard. You are going to focus on an important determinant of vaccine quality - the storage temperature. The temperature is supposed to be 93 F. Anything between 90 F and 96 F is acceptable to the patient. On Apr 1st, you randomly sampled one-dose vaccine that the hospital stored, and measured the temperature. The temperatures (in F) are summarized in the following table: 91 Sample ID Unit 1 Unit 2 Unit 3 Unit 4 |X-bar R 91 92 89 92 39 2 89 86 86 90 87.75 4 3 89 93 86 37 86 88.50 4 88 90 93 88 89.75 5 5 91 88 93 88 90.00 5 6 90 89 91 92 Sample Index 7 87 93 91 92 90.75 6 4 9 10 8 94 93 87 90 91.00 7 Is the process in control: (2 points) 9 89 86 89 86 87.50 3 10 93 91 93 88 91.25 5 a. (4 points) Fill the blanks in the table above. In other words, compute the X-bar value and R value for the 6th Sample. d. (3 points) There is a thermostat that controls the average storage temperature of the fridge. Based on the data, how should you adjust the thermostat? (Don't overthink! This is simple b. (4 points) Compute X-bar-bar and X control limits. question.) Sample Size A2 D3 D4 d2 2 1.88 0 3.268 1.128 4 0.729 0 2.282 2.059 0.337 0.184 1.816 2.970 10 0.308 0.223 1.777 3.078 (3 points) After adjusting the thermostat, what is the process capability index Cp? 2