The process engineers have designed our drink process with an upper spec or tolerance of 46 ounces and a lower spec or 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 (Cp and Cpk) Cp = (USL – LSL) / (6 x sigma)  Where: USL= Upper Specification Limit or Tolerance LSL = Lower Specification limit or Tolerance Cpk is the capability the process is achieving whether or not the mean is centered between the  specification limits. Process Capability Formulas:

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You Got Gas have developed a new type of fuel additive that supposedly increases car speed. Before they put it out on the market, however, they need to test if it really is a difference compared to standard fuel. So, they took 6 vehicles and calculated the time it takes to for them to drive 1 mile going as fast as they can. They received the following data: Car ID# Course time (standard fuel in minutes) Course time (w/ additive in minutes) 1 35 27 2 40 35 3 25 27 4 40 39 5 95 94 6 32 18 6. What is the null and research hypothesis for this study? 7. What type of statistical test should we use to compare means (z-test, independent t-test, dependent t-test, or ANOVA)? Why? 8. What are the degrees of freedom? What are the critical values for that statistical test with this data at α = 0.05? α = 0.01? 9. Comparing the groups, is there a significant difference at α = 0.05 in lap time between eating the name bran and when they ate Dog Go?  10. How would the researcher…