A chocolate company manufactures 4 ounces chocolate bars. Random samples of size four were taken and weighted. Eight hours of observation provided the following data: Sample Mean Range 1 4.95 0.12 2 5.02 0.17 3 4.98 0.15 4 5.15 0.15 5 4.89 0.12 6 5.04 0.17 7 5.05 0.17 8 5.08 0.15 Use the above information to answer the following questions (always round to two decimal places): I. Determine the lower and upper control limits for the x-bar control chart. a) 4.81 and 5.23 respectively. b) 4.65 and 5.39 respectively. c) 4.91 and 5.13 respectively. d) 4.94 and 5.10 respectively. e) None of the above II. Is the central process in control, explain why? a) No, because exactly one x-bar values fall outside the control interval. b) No, because exactly two x-bar values fall outside the control interval. c) No, because exactly three x-bar values fall outside the control interval. d) Yes, because all x-bar values fall within the control interval. e) None of the above III. Determine the lower and upper control limits for the R-control chart. a) 0.00 and 0.32 respectively. b) 0.00 and 0.34 respectively. c) 0.02 and 0.28 respectively. d) 0.02 and 0.30 respectively.
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Since we only have one sample mean and one sample range, the averages are the same as the given values: $\bar{x} = 5.02$ $\bar{R} = 0.408$ Show more…
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Chocolate company manufactures 4-ounce chocolate bars. Random samples of size four were taken and weighed. Eight hours of observation provided the following data: Use the above information to answer the following questions (always round to two decimal places): a) Determine the lower and upper control limits for the x-bar control chart: 4.81 and 5.23 respectively. b) Is the central process in control? No, because exactly one x-bar value falls outside the control interval. c) Determine the lower and upper control limits for the R-control chart: 0.00 and 0.32 respectively.
Madhur L.
3. We are interested in seeing if 4-ounce chocolate bars are being accurately created to contain 4-ounces. Random samples of size 5 were taken and weighed. Eight hours of observation provided the following data: Sample Mean Range 1 3.95 0.11 2 4.01 0.12 3 3.86 0.16 4 4.19 0.15 5 3.84 0.20 6 4.07 0.14 7 4.19 0.22 8 4.04 0.16 a. Find the UCL for the R chart. b. Find the LCL for the R chart. c. Is this chart in control? Why/why not? d. Find the UCL for the x̄-chart. e. Find the LCL for the x̄-chart. f. Is this process in control? Why/why not?
An X-bar R chart was prepared for an operation using twenty samples with 5 pieces in each sample. X-bar-bar was found to be 33.6 and R-bar was 6.2. During production, a sample of 5 was taken and the pieces measured 36, 43, 37, 25, and 38. At the time this sample was taken: Select the correct answer: a. Both the average and range were within control limits. b. Neither the average nor range were within control limits. c. Only the average was outside control limits. d. Only the range was outside control limits.
Akash M.
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