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.Calculate the center line for the R chart.

Question

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.Calculate the center line for the R chart.

= 4)50 and an average range = 1.01.Calculate the center line for the R chart.

Quizplus · Accepted Answer

The center line for the R chart is calculated using the formula:
Rbar = ΣRi / n
where Ri is the range of the ith subgroup and n is the number of subgroups.
In this case, the average range is given as 1.01 and the number of subgroups is 25. Therefore, the center line for the R chart is:
Rbar = 1.01 / 25 = 0.0404
which is approximately equal to 0.04 or 0.05 (depending on rounding). Therefore, the best choice is A) 0.04 or 0.05.

A Motorcycle Manufacturer Produces the Parts for Its Vehicles in Different