Problem $2)$ An engineer wants to assess the capability of a process that coats large rolls of

paper with a thin film. The engineer collects three measurements of coating thickness from $25$

consecutive rolls. Because the machine is reset for each new roll, the engineer needs to

consider variation between rolls in addition to variation within a roll. The film thickness must be

$50+-3$ microns to meet engineering specifications.

The engineer performs between$/$within capability analysis to evaluate how well the coating

thickness meets the customer requirements of $50+-3$ microns.

Interpret the results below:

Retween$/$Within Canahility Renort for Coating

NOTE:Within variability represents within$-$batch variability, whereas Between variability represents short$-$term

fluctuations between batches. Within and Between variations estimates are then compounded together to

calculate a short$-$term between$/$within Cpk$,$ whereas the Ppk is still based on the overall long$-$term variability,

considering all individual values $($not in time order$)$ during the whole period.

Interpret the Results: