A process engineer is investigating the inherent variability of two types of equipment that can be used to monitor the output of a production process: He suspects that the old equipment; type I, has a larger variance than the new one. Two random samples of n1 = 12 and n2= 10 observations are taken, with sample variances of 14.5 and 10.8 respectively:Test whether his suspicion is true using an alpha of 0.05.
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The variance in a production process is an important measure of the quality of the process. A large variance often signals an opportunity for improvement in the process by finding ways to reduce the process variance. Conduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for the two machines. Use a .05 level of significance. What is your conclusion? Which machine, if either, provides the greater opportunity for quality improveme
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