Concept explainers
(a)
Interpretation: The control limits for the mean and the range chart are to be determined.
Concept Introduction:
The control chart is used to determine the changes in the process over the time. The control chart consists three lines which are upper control limit line, lower control limit line and central line.
(b)
Interpretation: The capability of the process to meet the required specification is to be determined.
Concept Introduction:
The control chart is used to determine the changes in the process over the time. The control chart consists three lines which are upper control limit line, lower control limit line and central line.
(c)
Interpretation: The percent of the output which will fall outside the specification limit when the process is not capable is to be determined.
Concept Introduction:
The control chart is used to determine the changes in the process over the time. The control chart consists three lines which are upper control limit line, lower control limit line and central line.
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Operations Management: Processes and Supply Chains (12th Edition) (What's New in Operations Management)
- Cartons of Plaster are supposed to weigh exactly 32 ounces. Inspectors want to develop process control charts. They take five samples of six (5) boxes each and weigh them. Sample means (X-bar) are: 33.8, 34.6, 34.7, 34.1, and 34.2 respectively. Also, the corresponding ranges are: 1.1, 0.3, 0.4, 0.7, and 0.3, respectively. The lower and upper control limits of the R-chart are ,respectively O a. None is correct O b. O and O.15 O c. 0.01 and 1.13 O d. 0.03 and 1.18 O e. O and 1.18arrow_forwardIn a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 4 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the Rchart? O a. 0,29.17 O b. 0,31.17 O c. 0,30.47 O d. 0,24.71 O e. 0, 28.17 Of. None is correctarrow_forwardIn a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the X-bar chart? a. 143.55, 165.47 b. 145.40, 190.72 С. 144.77, 159.11 O d. 142.92, 160.66 e. None is correct O f. 156.55, 170.47arrow_forward
- In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the X-bar chart? ר O a. 142.92, 160.66 O b. 144.77,159.11 Oc. None is correct O d. 143.55, 165.47 O e. 156.55, 170.47 Of. 145.40, 190.72 OUS PAGE NEXT PAGE Type here to search - F5 F7 Pris F8 F9 F10 F12 %23 & 3 5 V 8 19 E T Y H. J K 1. 10 C V B NiM Alt く I LIarrow_forwardIn a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 6 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the X-bar chart? O a. None is correct O b. 146.01, 157.87 Oc. 142.92, 160.66 Od. 143.55, 165.47 Oe. 156.55, 170.47 Of. 144.78, 159.11arrow_forwardFactors for Computing Control Chart Limits (3 sigma) Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean x (mm) Range R (mm) 1 156.9 4.2 2 153.2 4.6 3 153.6 4.1 4 155.5 5.0 5 156.6 4.5 Part 4 c) What are the (UCLx) and (LCLx) using 3-sigma? (UCLx) = mm (round your response to two decimal places). (LCLx) = mmarrow_forward
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- Studies on a machine that molds plastic water pipe indicate that when it is injecting1-inch diameter pipe, the process standard deviation is 0.05 inches. The one-inchpipe has a specification of 1-inch plus or minus 0.10 inch. What is the processcapability index (Cp) if the long-run process mean is 1 inch?arrow_forwardA manufacturer of precision machine parts produces round shafts for use in the construction of drill presses. The average diameter of a shaft is .56 inch. Inspection samples contain 6 shafts each. The average range of these samples is .006 inch. Determine the upper and lower x control chart limits.arrow_forwardControl charts for X-bar and S are maintained for the fill volume of protein shake drink. The specifications are 330 + 10 mL. After 40 samples of size n=7 are analyzed, we find that: 40 40 = 13,200 Si = 296 i=1 i=D1 Find the best estimate of the process standard deviation. 7.498 7.400 7.570 2.737 7.713 8.032arrow_forward
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