Computer upgrades have a nominal time of 80 minutes. Samples of six observations each have been taken, and the results are as listed. Using factors from Table 10.3, determine upper and lower control limits for mean and range charts. Does the process is in control? Sample 2 3 4 5 73.7 75.0 74.1 73.4 75.0 73.3 73.2 74.1 73.9 74.1 74.5 75.5 74.9 74.2 74.9 72.9 74.9 74.8 73.9 75.3 75.5 74.6 75.3 75.1 73.3 74.2 75.1 75.0 74.5 75.6

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=??

Given the following data from 7 days. Compute, CL, UCL, and LCL of Control Charts for the following data.            Day            Sample Values (Group Sample Size = n = 4)             1                        22      24      23      26           2                        25      25      28      26           3                        24      25      27      27           4                        27      23      29      28           5                        26      27      23      25           6                        27      25      23      28           7                        27      28      28      22

Why is it important to prove that a process is proven capable before developing statistical control limits (i.e., SPC charts)?

x and R Control Charts A cereal manufacturer fills cereal boxes to an averageweight of 20 ounces and has an average range of 2 ounces when the filling process is in control. A sample size of 10 boxes is used in evaluating the process.a. What are the CL, UCL, and LCL for the x and R charts?b. A sample with the following 10 measurements was just taken: 20, 21, 19, 18, 19, 21,22, 20, 20, 19. Is the process still in control?

5-3   Sample data:Mean (Microns) (N=4)    Minimum    Maximum3.821    3.764    3.9993.946    3.804    4.2514.049    4.039    4.4543.793    3.779    3.9233.635    3.534    4.0684.046    3.578    4.5043.569    2.974    3.9084.084    3.779    5.6673.414    2.806    4.2565.319    5.168    6.3464.096    4.092    4.2234.108    3.957    4.3084.037    3.982    4.3933.789    3.691    3.8534.066    4.023    4.269   Constants:   Sample Size N A2 D3 D4 2 1.88 0 3.27 3 1.02 0 2.57 4 0.73 0 2.28 5 0.58 0 2.11 6 0.48 0 2.00 7 0.42 0.08 1.92 8 0.37 0.14 1.86 9 0.34 0.18 1.82 10 0.31 0.22 1.78 11 0.29 0.26 1.74 12 0.27 0.28 1.72

Develop a p chart with 3 sigma control limits and evaluate whether the process is in statical control

5-4 Sample data:Mean (Microns) (N=4)    Minimum    Maximum3.821    3.764    3.9993.946    3.804    4.2514.049    4.039    4.4543.793    3.779    3.9233.635    3.534    4.0684.046    3.578    4.5043.569    2.974    3.9084.084    3.779    5.6673.414    2.806    4.2565.319    5.168    6.3464.096    4.092    4.2234.108    3.957    4.3084.037    3.982    4.3933.789    3.691    3.8534.066    4.023    4.269   Constants:   Sample Size N A2 D3 D4 2 1.88 0 3.27 3 1.02 0 2.57 4 0.73 0 2.28 5 0.58 0 2.11 6 0.48 0 2.00 7 0.42 0.08 1.92 8 0.37 0.14 1.86 9 0.34 0.18 1.82 10 0.31 0.22 1.78 11 0.29 0.26 1.74 12 0.27 0.28 1.72

A process that is assumed to be in control with limits of 85 3 had sample averages for the x-bar chart of the following: 87.1,87,87.2,89,90,88.5,89.5, and 88. Which of the following statement below are correct? O a. Process mean is out-of-control Ob. Process mean is in-control 1x OG. Not enough information to determine Od. Noneis correct

Waiting time (minute) at a Tim Horton is monitored using sample mean and range control charts. Six samples of n = 10 observations have been obtained and the sample means and ranges computed (in minutes): Determine the upper and lower limits for sample mean and range control charts. Is the process in control? Draw appropriate control chart (s).