After the onset of the Covid 19 pandemic, we saw an increasing individual demand in office type swivel chairs as people started to work remotely from home. As one of the leading players in the market, your company conducts outgoing quality audit before chairs are sent to the packaging process and randomly selected representative samples from the production process are measured according to the CTQs as shown in the diagrams. The specification limits for the CTQ's is listed below. Perspective-side Perspective-Front 22 inch 18 inch 36-41inch 18 inch b 4 inch 20---25Inch 21 inch 25 inch Perspective-Side CTQs and tolerances A. 36-41 inch (LSL:36, USL:41) B. 22 inch (+/- 1 inch) C. 18 inch (+/- 0,5 inch) D. 20-25 inch (LSL:20, USL:25) Perspective -Front CTQs and tolerances E. 18 inch (+/- 0,4 inch) F. 17 inch (+/- 0,3 inch) G. 4 inch (+/- 0,05 inch) H. 21 inch (+/- 0,2 inch) I. 25 inch (+/- 0,5 inch) There are currently 5 different production lines and the historical audit data is recorded in the file swivel chair.mpx, a. What is the mean and standard deviation of measurement A? Also show the distribution of data with graphical and statistical tools and comment. b. Is normal distribution a good assumption for the shape of the data on measurement B? Why or why not?