2 pis The quality coordinator of a fertilizer factory randomly selected 4 samples of size 6 to determine if the filling process was in control or not. The weight of each bag is provided in the table. Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Mean Range Sample 1 99.4 106.4 101.8 105.6 99.8 102.8 Sample 2 101.1 94.9 103.6 96.4 99.7 96.1 Sample 3 98.8 98.4 103 101 103.5 102.5 Sample 4 102.2 95.9 104.6 99.7 105.3 97.6 The Upper Control Limit for the X-chart? Obetween 90 and 92 Obetween 98 and 99 Obetween 105 and 106 Obetween 104 and 105
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Sample 1: (99.4 + 106.4 + 101.8 + 105.6 + 99.8 + 102.8) / 6 = 102.63 Sample 2: (101.1 + 94.9 + 103.6 + 96.4 + 99.7 + 96.1) / 6 = 98.63 Sample 3: (98.8 + 98.4 + 103 + 101 + 103.5 + 102.5) / 6 = 101.03 Sample 4: (102.2 + 95.9 + 104.6 + 99.7 + 105.3 + 97.6) / 6 = Show more…
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Random samples of size n = 400 are taken from a population with p = 0.10. a. Calculate the centerline, the upper control limit (UCL), and the lower control limit (LCL) for the ̄p chart. (Round the value for the centerline to 2 decimal places and the values for the UCL and LCL to 3 decimal places.) Centerline 0.10 Upper Control Limit 0.145 Lower Control Limit 0.055 b. Suppose six samples of size 400 produced the following sample proportions: 0.06, 0.11, 0.09, 0.08, 0.14, and 0.16. Is the production process under control? Yes, because all sample proportions lie within the control limits, and there is no systematic pattern. Yes, because at least one sample proportion lies outside the control limits. No, because all sample proportions lie within the control limits, and there is no systematic pattern. No, because at least one sample proportion lies outside the control limits.
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