Operations Management - Control Charts Projects

Unit 6 Tutorial Statistical Process Control Using the information given below, complete the calculation

Unit 6 Tutorial

Statistical Process Control

Using the information given below, complete the calculation for
X and R, the calculations for X and R and then construct the control chart.

Batch 1	Batch 2	Batch 3	Batch 4
1.994	2.010	1.995	2.008
2.010	2.005	2.010	2.010
2.015	2.007	2.010	2.020
1.989	2.012	2.009	2.015
2.014	1.997	2.008	2.011

X =	X =	X =	X =
R =	R =	R =	R =

Batch 5	Batch 6	Batch 7	Batch 8
2.006	1.997	2.012	2.007
2.008	2.009	1.996	1.999
1.990	2.005	2.008	2.009
2.014	2.008	2.013	2.008
2.010	1.998	2.011	1.992

X =	X =	X =	X =
R =	R =	R =	R =

X = R=
Draw up the chart. (10 marks)

Figure 1: Control Chart for Cereal Dispensers.

Interpret the charts of cereal packets filled by a dispenser, shown in figure1 and comment on what appears to be happening with this

process. (5 marks)

3. Bottles are filled with the finished product so that the target content is 500 milliliters. Samples of size 5 are taken at regular intervals and the mean content of the 5 bottles and the range is recorded. The following data were obtained from a series of 20 such samples:

Sample Number	x	R
1	490.00	23
2	505.75	6
3	496.25	24
4	500.25	27
5	508.75	23
6	496.00	6
7	507.50	9
8	500.25	22
9	490.75	15
10	504.25	13
11	498.00	10
12	500.50	11
13	512.75	27
14	501.75	25
15	506.75	25
16	491.50	23
17	508.00	26
18	497.00	8
19	486.50	18
20	500.50	40

Use the data to set up a mean and a range chart. Plot the data on the chart and comment on the state of the process.

x = R=
Mean Chart UCL =
LCL =

Range Chart UCL =
LCL =

(10 marks)

4. For each batch of finished product four determinations are made of the total protein content. The results for 20 batches were as follows:

Determination
Batch	1	2	3	4	x	R
1	45.3	46.0	46.6	44.2
2	47.6	44.5	46.5	45.3
3	47.2	44.9	43.2	45.2
4	45.8	45.1	45.0	44.1
5	44.7	43.0	45.3	45.0
6	46.2	45.8	46.3	44.2
7	44.5	44.8	45.0	44.2
8	44.3	46.9	44.3	43.7
9	44.7	45.5	46.6	45.2
10	45.1	45.6	45.2	46.9
11	46.1	46.9	43.7	44.0
12	44.8	46.0	44.0	45.2
13	44.3	45.4	45.4	47.5
14	47.2	43.1	45.4	44.3
15	45.6	44.3	42.6	42.3
16	44.4	45.6	43.7	44.4
17	45.6	41.5	42.9	43.5
18	47.3	44.1	46.8	45.7
19	45.9	44.6	46.7	44.7
20	45.0	42.9	46.7	47.4
					x =	R =

Use the data to establish the Upper and Lower Control Limits for the mean and range control charts and construct the charts (Note: charts do not have to be submitted through WebCT if you have constructed them manually rather than by computer). (15 marks)

5. The following data are observations of the total protein content of 16 batches. Complete the table and hence set up both an individual and a moving range chart for the process.

X (protein MR content)

46.7 46.0 44.2 44.3 45.2 45.7 42.7 43.7 43.9 46.2 46.7 46.0 45.0 45.5 45.5 45.8

x =

MR=

For individual chart UCL = LCL =

For moving range chart UCL =

LCL =

(10 marks)

Plot the results on the chart and comment on the state of the process Note: charts do not have to be submitted through WebCT if you have constructed them manually rather than by computer however you must comment on the state of the process. (5 marks)

Price: $18.74

Solution: The downloadable solution consists of 14 pages, 474 words and 8 charts.
Deliverable: Word Document