Construct frequency distribution and calculate mean range

Question

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