Operation Management

Question Description

Please complete problems # 4, 5, 6, 7 in the Topic 8.10 Discussion and Practice in your online text book.

Your work must be submitted in PDF or Word document format. So, I would advise you to do your work on blank piece of papers, take the photo of the pages, and then paste the photo on a word or pdf document. Make sure the pages are readable, not blurry, or sideways.

4. Imagine you are evaluating a supplier’s ability to meet your product specifications. You have collected data on the process’s performance. Here is what you have discovered.

Design Target: 20
Process Mean: 20
Upper Specification Limit: 28
Lower Specification Limit: 12
Process Standard Deviation: 5

Calculate the Cpk. What does your analysis tell you about the process?

5. Imagine you are evaluating a supplier’s ability to produce to your product specifications. You have collected data on the process’s performance. Here is what you have discovered.

Design Target: 4.36
Process Mean: 4.27
Upper Specification Limit: 4.59
Lower Specification Limit: 4.13
Process Standard Deviation: 0.075

Calculate the Cpk. What does your analysis tell you about the process?

6. As a process owner, you have been tasked with developing a x-bar chart. You’ve collected the following data.Calculate the upper and lower control limits using a 3-sigma performance level and build your x-bar chart. Begin by calculating the overall standard deviation and standard error.

Sample Number Values for Each Item in the Sample

1 59 45 51

2 45 57 41

3 42 43 45

4 57 57 50

5 53 55 40

6 52 48 50

7 50 51 45

8 49 47 56

9 56 50 41

10 60 40 50

Now, compute the upper and lower control limits using the range as your measure of variability.Finally, having built a control chart, you started to collect data, sampling three items every 30 minutes. Your data for the first five samples are shown below. Plot them on your control chart. Is your process in control?

Sample Number Values for Each Item in the Sample

1 57 47 51

2 45 59 45

3 44 49 55

4 55 59 55

5 57 49 53

7. You operate a high-speed automated juice bottling line. The machine is set up to fill the bottles with 100 ounces of juice. To help you build the control chart for the entire run, you collected the following 10 samples with 4 bottles in each sample

Sample Number	Values for Each Item in the Sample
1	59	45	51
2	45	57	41
3	42	43	45
4	57	57	50
5	53	55	40
6	52	48	50
7	50	51	45
8	49	47	56
9	56	50	41
10	60	40	50

Sample Number	Values for Each Item in the Sample
1	57	47	51
2	45	59	45
3	44	49	55
4	55	59	55
5	57	49	53

Sample Number	Values for Each Item in the Sample (ounces)
1	101	99	98	98
2	99	99	10	99
3	99	100	101	108
4	101	102	100	99
5	101	101	100	99
6	99	100	99	105
7	98	99	98	102
8	100	98	99	99
9	100	98	105	100
10	99	100	100	97

Calculate the upper and lower control limits using a 3-sigma performance level and build your x-bar chart. Begin by calculating the overall standard deviation and standard error.Now, compute the upper and lower control limits using the range as your measure of variability.Finally, having built a control chart, you began sampling four items every 30 minutes. Your data for the first five samples are shown below. Plot them on your control chart. Is your process in control?

Sample Number	Values for Each Item in the Sample (ounces)
1	101	97	97	99
2	99	99	101	99
3	99	98	98	97
4	101	108	104	105
5	101	101	100	100

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