Construct frequency distribution and calculate mean

Reference no: EM13674870

Construct frequency distribution and calculate mean, range and standard deviation

Relate the characteristics of the normal curve to the distribution of the means of small samples

Select and group sample data based on variable inspection and attribute inspection and calculate appropriate control chart limits

Construct control charts for variables, rejects per unit and percentage defectives per batch

Initiate a control program for a specified application

A factory mass produces resistors of various standard values, in order to test the production processes samples are taken. The following 15 tables show one batch of samples.

Data Set 1		Data Set 2		Data Set 3
Sample	Resistance (Ohms)	Sample	Resistance (Ohms)	Sample	Resistance (Ohms)
1	119	1	178.5	1	238
2	120	2	180	2	240
3	119	3	178.5	3	238
4	121	4	181.5	4	242
5	118	5	177	5	236
6	120	6	180	6	240
7	119	7	178.5	7	238
8	122	8	183	8	244
9	123	9	184.5	9	246
10	120	10	180	10	240
11	121	11	181.5	11	242
12	119	12	178.5	12	238
13	118	13	177	13	236
14	123	14	184.5	14	246
15	120	15	180	15	240
16	121	16	181.5	16	242
17	119	17	178.5	17	238
18	118	18	177	18	236

Data Set 4				Data Set 5				Data Set 6
Sample		Resistance (Ohms)		Sample		Resistance (Ohms)		Sample		Resistance (Ohms)
1		297.5		1		357		1		416.5
2		300		2		360		2		420
3		297.5		3		357		3		416.5
4		302.5		4		363		4		423.5
5		295		5		354		5		413
6		300		6		360		6		420
7		297.5		7		357		7		416.5
8		305		8		366		8		427
9		307.5		9		369		9		430.5
10		300		10		360		10		420
11		302.5		11		363		11		423.5
12		297.5		12		357		12		416.5
13		295		13		354		13		413
14		307.5		14		369		14		430.5
15		300		15		360		15		420
16		302.5		16		363		16		423.5
17		297.5		17		357		17		416.5
18		295		18		354		18		413

Data Set 7				Data Set 8				Data Set 9
Sample		Resistance (Ohms)		Sample		Resistance (Ohms)		Sample		Resistance (Ohms)
1		476		1		535.5		1		595
2		480		2		540		2		600
3		476		3		535.5		3		595
4		484		4		544.5		4		605
5		472		5		531		5		590
6		480		6		540		6		600
7		476		7		535.5		7		595
8		488		8		549		8		610
9		492		9		553.5		9		615
10		480		10		540		10		600
11		484		11		544.5		11		605
12		476		12		535.5		12		595
13		472		13		531		13		590
14		492		14		553.5		14		615
15		480		15		540		15		600
16		484		16		544.5		16		605
17		476		17		535.5		17		595
18		472		18		531		18		590

Data Set 10			Data Set 11				Data Set 12
Sample	Resistance (Ohms)		Sample		Resistance (Ohms)		Sample		Resistance (Ohms)
1	654.5		1		714		1		773.5
2	660		2		720		2		780
3	654.5		3		714		3		773.5
4	665.5		4		726		4		786.5
5	649		5		708		5		767
6	660		6		720		6		780
7	654.5		7		714		7		773.5
8	671		8		732		8		793
9	676.5		9		738		9		799.5
10	660		10		720		10		780
11	665.5		11		726		11		786.5
12	654.5		12		714		12		773.5
13	649		13		708		13		767
14	676.5		14		738		14		799.5
15	660		15		720		15		780
16	665.5		16		726		16		786.5
17	654.5		17		714		17		773.5
18	649		18		708		18		767

Data Set 13			Data Set 14				Data Set 15
Sample	Resistance (Ohms)		Sample		Resistance (Ohms)		Sample		Resistance (Ohms)
1	833		1		892.5		1		952
2	840		2		900		2		960
3	833		3		892.5		3		952
4	847		4		907.5		4		968
5	826		5		885		5		944
6	840		6		900		6		960
7	833		7		892.5		7		952
8	854		8		915		8		976
9	861		9		922.5		9		984
10	840		10		900		10		960
11	847		11		907.5		11		968
12	833		12		892.5		12		952
13	826		13		885		13		944
14	861		14		922.5		14		984
15	840		15		900		15		960
16	847		16		907.5		16		968
17	833		17		892.5		17		952
18	826		18		885		18		944

1. For your given data set of ungrouped data calculate the mean, range and standard deviation.

2. From the information you correlated:

a. Identify the relationship between the normal curve and the mean values

b. Select and group the data based on variable and attribute inspection methodology.

3. Using appropriate control charts, calculate the limits you would use

4. Construct an appropriate control chart for variable inspection methodology, showing rejects per unit and percentage defects per batch

5. Develop and implement an inspection control program for your data.Identify:

a. The inspection methodology used

b. The control charts

c. Frequency of inspection and or the batch size

d. Method of implementation

Reference no: EM13674870

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