Question 3. (20 pts) You are working as a methods engineer at Destel Company. In your project, you performed a time study. As a result of your study: a) (10 pts) Twenty cycles have been observed during time study. The mean time for the longest element was 0,85 min, and the standard deviation calculated on the same data was 0,27 min. If you want to be 95% confident that the mean of the sample was within +10% of the true mean, how many more observations should be taken? b) (10 pts) The observed times for six work elements are given in the table below. Element D is a machine controlled element and the time is constant. Elements A, B, C, E, and F are operator controlled and they were performance rated at 90%. If the machine allowance is 15%, and the worker PFD allowance is 25%, determine the normal time and standard time for the cycle. Element Observed time (min) A 0,28 B 0,40 0,98 D 2,12 2,55 2,80