(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
- Checkout time at a supermarket is monitored using a mean and a range chart. Six samples of n = 20 observations have been obtained and the sample means and ranges computed:arrow_forwardplease provide upper and lower limitsarrow_forwardAdministering new bank accounts is intended to average 15 minutes each. Five samples of four observations each have been taken. Use the sample data in concurrence with Table 2.3 to create upper and lower control limits for both a mean chart and a range chart. Do results propose that the procedure is in control? Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 11.2 11.3 10.7 10.9 10.8 10.9 10.8 10.9 11.3 11.2 10.8 10.9 10.9 11.1 11.3 11.1 11.4 11.1 11.5 10.7 Total: 44 44.4 43.6 44.8 44arrow_forward
- Chocolate, Inc. manufactures 4 ounce chocolate bars. Random samples of size four were taken and weighed. Eight hours of observation provided the following data. Sample Mean Range 1 3.96 0.13 2 4.03 0.16 3 3.97 0.16 4 4.14 0.16 5 3.88 0.11 6 4.03 0.18 7 4.04 0.18 8 4.07 0.14 (a) Determine the upper and lower control limits for the x chart. (Round your answers to four decimal places.) UCL=?? LCL=?? (b) Determine the upper and lower control limits for the R chart. (Round your answers to four decimal places.) UCL=?? LCL=??arrow_forwardsniparrow_forwardThe 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_forward
- please answer within 30 minutes.arrow_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_forwardHelp please A2 is 0.557 D3 is 0 2.115arrow_forward
- Describe how to construct process control charts and use them to determine whether a process is out of statistical control.arrow_forwardWhat is the significance of the order of observation in process control?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 4 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, 13.38, 15.34, 13.04, and 13.02 respectively What are the lower and upper control limits for the X-bar chart? O a. None is correct O b. 143.55, 165.47 Oc. 144.78, 159.11 O d. 157.21, 177.05 O e. 146.01, 157.87 Of. 142.92, 160.66arrow_forward
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