A component part for a motorcycle is manufactured by an investment casting process. The air vent opening on this casting is an important functional parameter of the part. The results for five samples are given in the table. The values given have been coded using the last two digits of the dimension   Sample Air vent opening diameter (in mm             1 58 61 54 60 2 61 55 58 62 3 66 60 59 55 4 53 57 58 64 5 65 63 79 61       Determine the central line and control limits for the range and mean charts, and discuss whether or not  the process is in statistical control.

Practical Management Science
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A component part for a motorcycle is manufactured by an investment casting process. The air vent opening on this casting is an important functional parameter of the part. The results for five samples are given in the table. The values given have been coded using the last two digits of the dimension

 

Sample

Air vent opening diameter (in mm

 

 

 

 

 

 

1

58

61

54

60

2

61

55

58

62

3

66

60

59

55

4

53

57

58

64

5

65

63

79

61

 

 

 

  1. Determine the central line and control limits for the range and mean charts, and discuss whether or not  the process is in statistical control.

 

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