A Drive-In Restaurant Is Running a New Promotion,the "Route 44

A drive-in restaurant is running a new promotion,the "Route 44," named after an interstate that runs through their primary market area.The drink is promoted as 44 ounces of pure carbonated pleasure but the regional manager,being somewhat of a quality expert,wants to make sure that the company's drink process can deliver 44 ounces.He decides statistical quality control is the best way to monitor their process.
For ten consecutive days he purchases five Route 44 drinks from franchise locations on his way to headquarters and turns them over to the testing lab for volume analysis.The data appear in the table,all amounts are in fluid ounces as measured by the testing lab.

-The regional manager first develops an chart to see whether he is achieving the goal of 44 ounces.He calculates his center line using this data and arrives at the value 45.03."Not ideal," he muses,"but at least the customers won't complain.If I were consistently delivering less than 44 ounces,I'd probably have a lawsuit on my hands.The and R charts both look good,and my calculations indicate a process standard deviation of 3.08.The process engineers have designed our drink process with an upper tolerance of 46 ounces and a lower tolerance of 42 ounces.I wonder what our process capability really is? I've been reading about Six Sigma,it would be fantastic if we could add that to our already fantastic slogan regarding this new beverage!"
Calculate the process capability and comment on the likelihood achieving Six Sigma with this process.

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This process is not centered,so the proc...

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