A Motorcycle Manufacturer Produces the Parts for Its Vehicles in Different

Multiple Choice

A motorcycle manufacturer produces the parts for its vehicles in different locations and transports them to its plant for assembly.In order to keep the assembly operations running efficiently,it is vital that all parts be within specification limits.One important part used in the assembly is the engine camshaft,and one important quality characteristic is the case hardness depth.Specifications state that the hardness depth must be between 3.0 mm and 6.0 mm.To investigate the process,the quality control engineer selected 25 daily subgroups of n = 5 and measured the hardness depth.The process yielded a mean of the means $\overline { \overline{ x } }$

= 4) 50 and an average range = 1.01.Assuming that the process is in statistical control,calculate the natural tolerance limits for the process.

A) [1.47,7.53]
B) [3.197,5.803]
C) [3.729,5.271]
D) [4.066,4.934]