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Can somebody please walk me through solving the below. Thank you The management of a caf wants to be confident that their coffee temperature is
Can somebody please walk me through solving the below. Thank you
- The management of a caf wants to be confident that their coffee temperature is consistent through various circumstances such as long pick-up time, added milk, etc. To do so, they decided to undertake a statistical process control initiative to determine the consistency of temperature of different types of coffee. Ten random latt samples were selected every hour during a seven-hour shift, and the temperature of each cup of coffee was recorded. The following data was collected; the temperature is measured in degrees Celsius. (20 marks)
Sample 1 | Sample 2 | Sample 3 | Sample 4 | Sample 5 | Sample 6 | Sample 7 |
116 | 103 | 116 | 106 | 124 | 98 | 125 |
114 | 101 | 119 | 109 | 104 | 93 | 124 |
109 | 117 | 117 | 117 | 106 | 96 | 116 |
124 | 125 | 122 | 124 | 125 | 93 | 103 |
124 | 108 | 120 | 119 | 114 | 98 | 117 |
116 | 106 | 114 | 104 | 116 | 93 | 101 |
109 | 103 | 109 | 104 | 109 | 98 | 120 |
124 | 104 | 119 | 114 | 108 | 98 | 104 |
111 | 120 | 108 | 112 | 111 | 100 | 119 |
119 | 103 | 109 | 122 | 103 | 100 | 114 |
a. Calcula. Calculate the upper control limit (UCL) and the lower control limit (LCL) for the R-chart and the X-chart. (3 marks each; 12 marks)
b. Draw the control chart. (5 marks)
c. Is the coffee temperature consistent? Explain. (3 marks)
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