A family of four parts is produced by a manufacturing cell. The parts are scheduled in small batch quantities in sequence. Three parts are selected at random from each batch and measured for a critical characteristic. The sampling results for six production cycles are shown in the following table. The production personnel assume that the process variance is the same for all products within the family.

b. Apply Equation 11-7 to show the validity of the assumption that the process variance is equal for all products.

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Production Cycle Product Nominal 115. 125 14.807 14.964 117.938 17.863 17.807 20.097 19.587 20.118 20.938 21.190 20.560 15.024 15.138 14.774 18.374 18.148 17.720 14.728 14.925 15.069 15.009 15.224 14.857 17.671 17.756 18.120 15.176 14.836 14.823 34 17.885 17.857 17.95617.743 15 15.234 18.134 18.081 18 17.961 17.719 20 19.849 20.158 21.273 21.197 19.618 20.206 20.036 19.740 21.147 21.011 20.150 19.846 20.836 20.799 20.941 20.640 20.979 20.72021.113 19.951 20.291 21 21.059 and R