A large bank establishes X-bar and R charts for the time required to process applications for its charge cards. A sample of five applications is taken each day. The first four weeks (20 days) of data give: X-double bar = 16 min s-bar = 3 min R-bar = 7 min Based on the values given, calculate the centerline and control limits for the X-bar and R charts. Mention all the details with the formulae used. (You may use extra sheets of papers (if needed) for showing the details of supporting calculations.)

Wo small variable-thrust jets are actuated to keep the spacecraft angular velocity about the z-axis constant at ? 0 = 1.16 rad/s as the two telescoping booms are extended from r1 = 1.18 m to r2 = 4.69 m at a constant rate over a period of 124 seconds. the small 19-kg experiment modules at the ends of the booms may be treated as particles, and the mass of the rigid booms is negligible. determine the necessary thrust t for each jet as a function of time where t = 0 is the time when the telescoping action is begun. after you have the general expression for t, answer the questions. show work.