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Problem 3 (9 marks) Two employees verify 3 invoices twice (9:00 AM and 4:00 PM) in order to detect possible errors and classify them as
Problem 3 (9 marks) Two employees verify 3 invoices twice (9:00 AM and 4:00 PM) in order to detect possible errors and classify them as correct (1) or wrong (0). The invoices are also classified by an experienced employee, as the standard. The results of inspections over two consecutive weeks are provided in the following table: Invoice Standard Employee 1 Employee 2 1 1 1 1 1 1 0 0 2 0 0 0 2 0 0 1 3 1 1 1 3 1 0 1 1 1 1 2 0 0 0 2 0 0 0 3 1 1 0 3 1 Date Time Feb. 15 9:00 AM Feb. 15 4:00 PM Feb. 15 9:00 AM Feb. 15 | 4:00 PM Feb. 15 | 9:00 AM Feb. 15 4:00 PM Feb. 8 9:00 AM Feb. 8 4:00 PM Feb. 8 9:00 AM Feb. 8 4:00 PM Feb. 8 9:00 AM Feb. 8 4:00 PM Based on the above data, calculate the following metrics of the measurement system: 3.1) Overall repeatability (average repeatability over all employees) 3.2) Overall reproducibility (average reproducibility over all employees) 3.3) Overall accuracy (average accuracy over all employees) Problem 3 (9 marks) Two employees verify 3 invoices twice (9:00 AM and 4:00 PM) in order to detect possible errors and classify them as correct (1) or wrong (0). The invoices are also classified by an experienced employee, as the standard. The results of inspections over two consecutive weeks are provided in the following table: Invoice Standard Employee 1 Employee 2 1 1 1 1 1 1 0 0 2 0 0 0 2 0 0 1 3 1 1 1 3 1 0 1 1 1 1 2 0 0 0 2 0 0 0 3 1 1 0 3 1 Date Time Feb. 15 9:00 AM Feb. 15 4:00 PM Feb. 15 9:00 AM Feb. 15 | 4:00 PM Feb. 15 | 9:00 AM Feb. 15 4:00 PM Feb. 8 9:00 AM Feb. 8 4:00 PM Feb. 8 9:00 AM Feb. 8 4:00 PM Feb. 8 9:00 AM Feb. 8 4:00 PM Based on the above data, calculate the following metrics of the measurement system: 3.1) Overall repeatability (average repeatability over all employees) 3.2) Overall reproducibility (average reproducibility over all employees) 3.3) Overall accuracy (average accuracy over all employees)
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