1. Control limits for an xChart have been determined as:

UCLx = 56.4 and LCLx = 53.2

(a) Sample averages for the most recent five samples, in sequential order, are 53.7, 53.8, 54.7, 55.4, and 56.3. What should be concluded about the process average? Should some action be taken? Why or why not? (4 points)

(b) What would you conclude about the process average if the sample means, in sequen- tial order, were 55.4, 54.9, 56.1, 55.6, and 55.2? (3 points)

***** Please provide step by step explanation along with the solutions without using excel or another