(a)
To determine: The sample means and ranges, and whether this process is in control by using table 10.3. and mean and range charts when the time to replace vehicle wiper blades at a service center was monitored where 6 samples of n = 20 observations were collected.
Introduction: To monitor the process dispersion, range control charts are used and the mean control limit charts are based on a
(b)
To determine: The sample means and ranges, and whether this process is in control by using table 10.3 according to the given table of b when the n is 15.
Introduction: To monitor the process dispersion, range control charts are used and the mean control limit charts are based on a normal distribution.
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EBK OPERATIONS MANAGEMENT
- What is it important to prove that a process is proven capable before developing statistical control limit ?arrow_forwardcontrol charts for means and rangers. processing times for new accounts at bank are shown in the following table. five samples of four observations each have been taken. use the sample data in conjunction with table 10.3 to construct upper and lower control limits for both mean chart and range chart. do the result suggest that the process is in control? sample 1 sample 2 sample 3 sample 4 sample 5 10.2 10.3 9.7 9.9 9.8 9.9 9.8 9.9 10.3 10.2 9.8 9.9 9.9 10.1 10.3 10.1 10.4 10.1 10.5 9.7 40.0 40.4 39.6 40.8 40.0arrow_forwardWebster Chemical Company produces mastics and caulking for the construction industry. The product is blended in large mixers and then pumped into tubes and capped. Management is concerned about whether the filling process for tubes of caulking is in statistical control. The process should be centered on 8 ounces per tube. Several samples of eight tubes were taken, each tube was weighed, and the weights in Table were obtained. Ounces of Caulking Per Tube Tube Number Sample 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7.98 8.33 7.89 8.24 7.87 8.13 8.34 8.22 7.77 8.18 8.13 8.14 8.02 8.08 7.91 7.83 7.92 8.11 7.94 8.51 8.04 8.05 7.99 8.13 8.44 8.41 8.00 7.90 8.10 8.14 7.68 8.28 7.89 8.16 7.81 8.12 7.81 8.09 7.93 7.97 8.14 8.13 8.11 8.16 8.09 8.07 7.88 8.14 a. Assume that only six samples are sufficient and develop the control charts for the mean and the range.b. Plot the observations on the control chart and comment on your findings.arrow_forward
- The time in minutes to replace vehicle wiper blades at a service center was monitored using a mean and a range chart. Six samples of n=20 observations were obtained nd the sample means and ranges were compared. Sample Mean Range 1 3.06 .42 2 3.15 .50 3 3.11 .41 4 3.13 .46 5 3.06 .46 6 3.09 .45 Using the factors in Table 10.3 in your text for 20 observations, determine the upper and lower limits for mean and range charts. Is the process within control limits?arrow_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: 172.11, 219.58, 208.24, 112.44, and 123.30 respectively. In the same sample, the corresponding ranges are: 13.17, 3.38, 15.34, 13.0 , and 13.02 respectively What are the lower and upper control limits for the X-bar chart? a . 157.21 , 177.05 b. 146.01, 157.87 c. 159.25, 175.02 d. 142.92, 160.66 e. 143.55, 165.47 f. None is correctarrow_forwardTwelve samples, each containing five parts, were takenfrom a process that produces steel rods at Emmanuel Kodzi’sfactory. The length of each rod in the samples was determined.The results were tabulated and sample means and ranges werecomputed. The results were: a) Determine the upper and lower control limits and the overallmeans for x -charts and R -charts.b) Draw the charts and plot the values of the sample means andranges.c) Do the data indicate a process that is in control?d) Why or why not?arrow_forward
- The time to replace vehicle wiper blades at a service center was monitored using a mean and a rangechart. Six samples of n = 20 observations were obtained and the sample means and ranges computed:Sample Mean Range Sample Mean Range1 3.06 .42 4 3.13 .462 3.15 .50 5 3.06 .463 3.11 .41 6 3.09 .45 a. Using the factors in Table 10.3, determine upper and lower limits for mean and range charts.b. Is the process in control?arrow_forwardFive samples of size 4 were taken from a process. A range chart was developed that had LCLR = 0 and UCLR = 2.50. Similarly, an average chart was developed with the average range from the five samples, with LCL = 15.0 and UCL = 24.0. The ranges for each of the five samples were 1.75, 2.42, 2.75, 2.04, and 2.80, respectively. The values of the sample average for each sample were 19.5, 22.3, 17.4, 20.1, and 18.9, respectively. What can you tell management from this analysis? The process variability is out of control, and we cannot make a statement about the process average. The process variability is out of control, but the process average is in control. The process variability and the process average are out of control. We cannot tell if the process variability or the process average is out of control. Need the answer in 10 minutes, if possible. Pleasearrow_forwardA process considered to be in control measures an ingredient in ounces. Roberto Baggio, a quality inspector took 20 samples, each with 8 observations as follows: thats in the pictuer after that using this information, obtain three-sigma (i.e., z=3) control limits for a mean control chart and control limits for a range chart, respectively. It is known from previous experience that the standard deviation of the process is 0.693. First: perform all actions and calculations needed to answer the question. All equations/calculations needed to be fully written STEP by STEP. No short calculations or direct answers/results will be accepted. This applies to the calculations for both types of control limits (mean and range). Second: Explain the process followed to identify each type of control limit and any observations made in the problem-solving process. thank you very mucharrow_forward
- McDaniel Shipyards wants to develop control charts to assess the quality of its steel plate. They take ten sheets of 1" steel plate and compute the number of cosmetic flaws on each roll. Each sheet is 20' by 100'. Based on the following data, develop limits for the control chart, plot the control chart, and determine whether the process is in control. Sheet Number of flaws 1 1 2 1 3 2 4 0 5 1 6 5 7 0 8 2 9 0 10 2arrow_forwardA teller at a drive-up window at a bank had the following service times (in minutes) for 20 randomly selected customers: SAMPLE 1 2 3 4 4.5 4.6 4.5 4.7 4.2 4.5 4.6 4.6 4.2 4.4 4.4 4.8 4.3 4.7 4.4 4.5 4.3 4.3 4.6 4.9 a. Determine the mean of each sample. b. If the process parameters are unknown, estimate its mean and standard deviation. c. Construct control charts for means and ranges using Table 10.3. Are any samples beyond the control limits? If so, which one(s)? d. If the process has a known mean of 4.4 and a known standard deviation of .18, what would three-sigma control limits be for a mean chart? Are any sample means beyond the control limits? If so, which one(s)?arrow_forwardIn a fabric manufacturing factory, the quality contral 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 X-bar chart?arrow_forward
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