Problem 3 (16 points): Below is one set of data from Lab 9 for the work sampling. The student recorded 18 random observations over one hour for all six workstations into the 4 categories listed. Use the totals at the bottom to answer each question. Workstation 2 (middle Workstation 3 (outside Workstation 4 (outside Workstation 5 (middle Workstation 6 (window Workstation 1 (base): arm): arm): cab): cab): cab): Observ Assem Id Sort Ot Assem ld Sort Ot Assem Id Sort Ot Assem ld Sort Ot Assem Id Sort Ot ation Assem ld Sort Ot bling le ing her bling le ing her bling ing her bling le ing her bling le ing her bling leing her 1 1 1 1 1 1 1 2 1 1 1 1 1 1 3 1 1 1 1 1 1 4 1 1 1 1 1 1 5 1 1 1 1 1 1 6 1 1 1 1 1 1 7 1 1 1 1 1 1 8 1 1 1 1 1 1 9 1 1 1 1 1 1 10 1 1 1 1 1 1 11 1 1 1 1 1 1 12 1 1 1 1 1 1 13 1 1 1 1 1 1 14 1 1 1 1 1 1 15 1 1 1 1 1 1 16 1 1 1 1 1 1 17 1 1 1 1 1 1 18 1 1 1 1 1 1 Total 9 5 0 4 10 3 0 5 17 1 0 0 9 0 8 1 9 0 5 4 7 0 5 6 a. (6 points) Which station had the most idle time? Based on this data, how much time was spent at this station on assembling? b. (8 points) Managements wants to improve performance at the cab stations and notes that a lot of time is spent sorting. For station 5, what is the accuracy of the study on the sorting category, if you want a 95% confidence interval? (2 points) What could the student do to improve the accuracy of the study on sorting? (no calculations needed, just describe) c