1.       Â
(a) Using a normal distribution,define what is meant by both “ machine†and “process†capabilityand explain the difference by providing three measures that areused in eachcase.                                                                   [8 marks]
(b) The following data was obtainedfrom subgroups of parts manufactured to 10.5 mm +/- 0.5 mm
Size Range(mm)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Quantity
10.0-10.2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1
10.2-10.4Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 4
10.4-10.6Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 9
10.6-10.8Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 6
Determine :
The mean and standard deviation [use N = 20]Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â [6 marks]
The values of the capability indices Cm and Cp                        [4 marks]
If the operation can be judged as “capable†if considered to bea machine or alternatively a process? [2 marks]
