A process sampled 20 times with a sample of size 9 resulted in a = 26.5 and R = 1.9. Compute the upper and lower control limits for the and R charts for this process. Round your answers to two decimal places. Use Table 19.3.R Chart:UCLLCLChart:UCLLCL00 00

Here UCL is upper control limitsand LCL is lower control limits.

Answered: A process sampled 20 times with a…

Practical Management Science

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The observations below were collected at equal sampling intervals from a process with po- 20 and og=1 for the purpose of monitoring the process. Observation #i 19.32 2. 20.55 18.14 4 18.96 (1) Construct a suitable CUSUM chart for monitoring the process if the mean of the process will shift to 19? (2) If the control limit of the CUSUM chart is reduced by log, the false alarm will: (a) increase (b) decrease ©) remain the same (3) Is the process in control or out of control?
E1 You manufacture a widget and use a C chart to monitor the number of defects associated with your process. Your sample size is constant and on average you find7 defects per sample. Identify the upper and lower control limits for the C chart.
2- Quality Control Charts A local brewery and bottling plant wants to keep track of the bottling filling equipment's accuracy, Bottles are to be filled with exactly 16 ounces of the drink. The following is data from the bottling equipment where 5 samples of bottles filled were pulled every hour and measured for actual quantity filled. 1- Calculate the UCL, LCL and mean for the X-bar and R data 2- Draw an X-Bar chart and a R chart. 3- Is this filling process in control or out of control? Hour X-bar R 1 16.05 .20 2 16.03 3 15.96 4 15.97 16.03 16.06 15.98 16.09 15.94 16.01 5 6 7 8 9 10 @n-5: A2 = 0.58, D3 =0, D4 = 2.11 .25 .62 .58 .71 .37 .46 .21 .35 .29
< Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results: Hour X 1 2 3 4 5 6 R 3.25" 0.65" 3.00 1.23 3.32 1.43 3.39 1.26 3.07 1.17 2.96 0.37 Hour X R Hour R Hour 7 2.95" 0.48" 13 X 3.11" 0.90" 2.73 1.36 19 20 8 2.55 1.18 14 9 0.71 3.12 1.11 21 3.12 2.85 15 16 10 1.38 2.74 0.50 22 11 2.83 1.22 17 2.86 1.38 23 12 3.07 0.45 18 2.64 1.29 24 X 4.51" 2.89 2.65 3.18 3.04 2.54 R 1.56" 1.14 1.13 0.51 1.58 1.02 Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Upper Control Limit (UCL) = inches (round your response to three decimal places).
A control chart for fraction nonconforming is to be established using a center line of p=0.03. What sample size is required if we wish to detect a shift in the process fraction nonconforming to 0.08 with probability 0.50? 1269 475 73 316 216 2 105 150 265
concernedas to whether caulking tubes are being properly capped. Ifa significant proportion of the tubes are not being sealed,Webster is placing its customers in a messy situation.Tubes are packaged in large boxes of 144. Several boxes areinspected, and the following numbers of leaking tubes arefound: Calculate p-chart three-sigma control limits to assesswhether the capping process is in statistical control.
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If a point on a control chart falls outside one of the control limits, this suggests that the process output is non-random and should be investigated. O a. TRUE O b. FALSE 10 19 NEXT PAGE 28 IOUS PAGE Finish at 82°F Mostly er
Lower Range, Sample Size, n Mean Factor, Upper Range, DA A2 D3 2 1.880 3.268 3 1.023 2.574 4 0.729 2.282 5 0.577 2.115 6 0.483 2.004 7 0.419 1.924 0.076 8 0.373 1.864 0.136 0.337 1.816 0.184 10 0.308 1.777 0.223 12 0.266 1.716 0.284
7. The school board is trying to evaluate a new math program introduced to second-graders in five elementary schools across the county this year. A sample of the student scores on standardized math tests in each elementary school yielded the following data: School No. of Test Errors A 48 B 21 C 32 D 40 E 52 For the test errors, the c-chart with control limits that contain 99.73% of the random variation in test scores is: _____ Part 2 UCLc= _______ (round your response to two decimal places). LCLc= _______ (round your response to two decimal places). What does the chart tell you? Has the new math program been effective?
The results of inspection of DNA samples taken over the past 10 days are given below. Sample size is 100. LCLp Day Defectives = 1 5 2 7 3 7 4 9 5 5 6 6 a) The upper and lower 3-sigma control chart limits are: UCL = 0.127 (enter your response as a number between 0 and 1, rounded to three decimal places). (enter your response as a number between 0 and 1, rounded to three decimal places). 7 1 8 6 9 10 10 1

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A process sampled 20 times with a sample of size 9 resulted in a = 26.5 and R = 1.9. Compute the upper and lower control limits for the and R charts for this process. Round your answers to two decimal places. Use Table 19.3. R Chart: UCL LCL Chart: UCL LCL 00 00