Project#4 – Methods of Quality Improvement Individual ProjectThe data set shows 72 samples (for 72...

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Project#4 – Methods of Quality Improvement Individual Project The data set shows 72 samples (for 72 hours) of size n=7 collected to test the production process of a filling machine for soft drink...

Project#4 – Methods of Quality Improvement

Individual Project

The data set shows 72 samples (for 72 hours) of size n=7 collected to test the production process of a filling machine for soft drink bottling. The target filling is 20 fluid ounces.

Your tasks:

Select a random sample of 24 hours of data. [Feel free to do it manually, if you cannot use the sample selection procedure in the software.] Using the sample data, accomplish the following:

Part 1

1. Construct an x-bar
chart. Need to use graph paper.

2. Calculate and plot the centerline and upper and lower control limits for the charts.

3. Calculate and plot the A, B and C zone boundaries of the x-bar chart.

4. Plot the 24 sample means on the
x-bar
chart.

5. Based on
x-bar findings, is the process under statistical control? Explain and justify your answer.

Part 2

6.
Construct an R-chart. Need to use graph paper.

7. Calculate and plot the centerline and upper and lower control limits for the charts.

8. Calculate and plot the A, B and C zone boundaries of the R-chart.

9. Plot the sample ranges on the R-chart.

10. Analyze the pattern of the R-chart.

11. Based on R-chart findings, is the process under statistical control? Explain and justify your answer.

Part 3

12. Theoretically, what is the difference between x-bar chart and R-chart? Explain briefly.

13. How are they used? That is, what is their purpose? Explain briefly.

Part 4

14. Compare the findings from your x-bar chart and R-chart.

15. Explain why rational sub-groupings are used in constructing control charts?

16. What are the major findings from the study? Explain briefly.

17. What are your conclusions from the study? Explain briefly.

Report
:

Submit your findings and analysis in a report format.

Feel free to contact me if you have questions. Good Luck.

project4-data-methods-of-quality-improvement-ukl5pqve.xls

Answered Same DayAug 12, 2021

Shakeel · Accepted Answer

Sheet1
	Sample	X1	X2	X3	X4	X5	X6	X7
	1	20.1	19	20.9	22.2	18.9	18.1	21.3
	2	19	17.9	21.2	20.4	20	22.3	21.5
	3	22.6	21.4	21.4	22.1	19.2	20.6	18.7
	4	18.1	20.8	17.8	19.6	19.8	21.7	20
	5	22.6	19.1	21.4	21.8	18.4	18	19.5
	6	19.1	19	22.3	21.5	17.8	19.2	19.4
	7	17.1	19.4	18.6	20.9	21.8	21	19.8
	8	20.2	22.4	22	19.6	19.6	20	18.5
	9	21.9	24.1	23.1	22.8	25.6	24.2	25.2
	10	25.1	24.3	26	23.1	25.8	27	26.5
	11	25.8	29.2	28.5	29.1	27.8	29	28
	12	28.2	27.5	29.3	30.7	27.6	28	27
	13	28.2	28.6	28.1	26	30	28.5	28.3
	14	22.1	21.4	23.3	20.5	19.8	20.5	19
	15	18.5	19.2	18	20.1	22	20.2	19.5
	16	21.4	20.3	22	19.2	18	17.9	19.5
	17	18.4	16.5	18.1	19.2	17.5	20.9	19.6
	18	20.1	19.8	22.3	22.5	21.8	22.7	23
	19	20	17.5	21	18.2	19.5	17.2	18.1
	20	22.3	18.2	21.5	19	19.4	20.5	20
	21	20.1	19	20.9	22.2	18.9	18.1	21.3
	22	19	17.9	21.2	20.4	20	22.3	21.5
	23	22.6	21.4	21.4	22.1	19.2	20.6	18.7
	24	18.1	20.8	17.8	19.6	19.8	21.7	20
	25	22.6	19.1	21.4	21.8	18.4	18	19.5
	26	19.1	19	22.3	21.5	17.8	19.2	19.4
	27	17.1	19.4	18.6	20.9	21.8	21	19.8
	28	20.2	22.4	22	19.6	19.6	20	18.5
	29	21.9	24.1	23.1	22.8	25.6	24.2	25.2
	30	25.1	24.3	26	23.1	25.8	27	26.5
	31	25.8	29.2	28.5	29.1	27.8	29	28
	32	28.2	27.5	29.3	30.7	27.6	28	27
	33	28.2	28.6	28.1	26	30	28.5	28.3
	34	22.1	21.4	23.3	20.5	19.8	20.5	19
	35	18.5	19.2	18	20.1	22	20.2	19.5
	36	21.4	20.3	22	19.2	18	17.9	19.5
	37	18.4	16.5	18.1	19.2	17.5	20.9	19.6
	38	20.1	19.8	22.3	22.5	21.8	22.7	23
	39	20	17.5	21	18.2	19.5	17.2	18.1
	40	22.3	18.2	21.5	19	19.4	20.5	20
	41	25.1	24.3	26	23.1	25.8	27	26.5
	42	25.8	29.2	28.5	29.1	27.8	29	28
	43	28.2	27.5	29.3	30.7	27.6	28	27
	44	28.2	28.6	28.1	26	30	28.5	28.3
	45	22.1	21.4	23.3	20.5	19.8	20.5	19
	46	18.5	19.2	18	20.1	22	20.2	19.5
	47	21.4	20.3	22	19.2	18	17.9	19.5
	48	18.4	16.5	18.1	19.2	17.5	20.9	19.6
	49	18.1	20.8	17.8	19.6	19.8	21.7	20
	50	20	19.1	21.4	21.8	18.4	18	19.5
	51	19.1	19	22.3	21.5	17.8	19	19.4
	52	17.1	19.4	18.6	20.9	21.8	21	19.8
	53	20.2	22.4	22	19.6	19.6	20	18.5
	54	21.9	24.1	23.1	22.8	25.6	24.2	25.2
	55	25.1	24.3	26	23.1	25.8	27	26.5
	56	25.8	29.2	28.5	29.1	27.8	29	28
	57	28	27.5	29.3	30.7	27.6	28	27
	58	28.2	28.6	28.1	26	30	28.5	28.3
	59	22.1	21.4	23.3	20.5	19.8	20.5	19
	60	18.5	19.2	18	20.1	22	20.2	19.5
	61	21.4	20.3	22	19.2	18	17.9	19.5
	62	18.4	16.5	18.1	19.2	17.5	20.9	19.6
	63	20.1	19.8	22.3	22.5	21.8	22.7	23
	64	20	17.5	21	18.2	16.6	17.2	18.1
	65	22.3	18.2	21.5	19	19.4	20.5	20
	66	25.8	29.2	28.5	29.1	27.8	29	28
	67	28.2	27.5	29.3	30.6	27.6	28	27
	68	28.2	28.6	28.1	26	30	28.5	28.3
	69	22.1	21.4	23.3	20.5	19.8	20.5	19
	70	18.5	19.2	18	20.1	22	20.2	19.5
	71	21.4	20.3	22	19.2	18	17.9	19.5
	72	18.1	20.8	17.8	19.6	19.7	21.

Project#4 – Methods of Quality Improvement Individual Project The data set shows 72 samples (for 72 hours) of size n=7 collected to test the production process of a filling machine for soft drink...

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