1. Consider the data displayed in the following table (one data set with 49 data points) 1.09 0.85 1.86 1.82 1.4 1.92 1.24 1.9 1.79 1.64 2.31 1.58 1.68 2.46 2.09 1.79 2.03 1.51 1.88 1.75 LCL 2.28 1.7 1.64 2.08 1.63 1.74 2.17 UCL 0.72 1.67 2.37 (a) Calculate the sample mean, sample variance, and standard deviation. (b) Construct a box plot of the data set and comment on the possible presence of outliers. x xx Standard Mean Shifted Mean 2. The following figure shows the 22.36% chance that the sample mean will plot outside X-bar chart control limits based on samples of size n=5. The process mean is shifted from its standard value by 1 process standard deviation. Calculate the ARL for this particular scenario. Briefly (1-2 sentences) elaborate on its meaning. 1.47 2.55 1.69 1.37 1.75 1.97 2.11 1.85 1.93 1.69 -2236