A machine is newly installed in a factory to fill bags of flour. The standard weight of each bag of flour is 2000 g's. The installing company operates the machine for one day in order to test and five samples of the output from the machine are recorded every hour. The average results for each of the five samples are as follows: 1996, 2090, 2010, 2008, 1835, 1820, 2180, 2118 grams. The specification limits are ± 2% of the target value. The installers completed the installation based on the above measurements. Assume the variance for the production line (σ²) is 100g.
1a. What is the capability index of this process (Cp)?
1b. Is the company capable of producing within the customer’s specification limits: ?
and why