Part a-) Twenty cycles have been observed during time study. The mean time for the longest element was 0,75 min, and the standard deviation calculated on the same data was 0,22 min. The analyst wanted to be 95% confident that the mean of the sample was within 10% of the true mean, and found 18 more cycles should be studied. If the pilot study was 38 cycles in the beginning, can the analyst be already 95% confident that the mean of the sample was within 10% of the true mean and proceed the standard time calculations? (yes-no answers will get no points, defend your answer and reasoning - use your probability and statistics knowledge!) Part b-) The observed times for six work elements are given in the table below. Element C is a machine controlled element and the time is constant. Elements A, B, D, E are operator controlled and they were performance rated at 90%. F is in transition from operator controlled to machine controlled (i.e. requires operator to be present time to time). If the machine allowance is 1596, and the worker PFD allowance is 2596, determine normal time and standard time for the cycle. What can you comment for this work and its standard time? Element B D 10,30 10.88 1,12 1,55 1,80 Observed time 10,18 (min)