LastName1Students NameInstructors NameCourse NameDateUsing R studio to answer questionsQuestion 1 (10 points). For a newly installed machine, a series of 184 density measurementswere taken over 46 daily samples of size 4 (that is, we have 46 sub-samples or groups of 4). Theprocess is assumed to be in a state of a statistical control when = 252 and = 1.2. The data arecontained in the DENSITY file.a. (2 points) Showing setup/work, what are the lower and upper control limits when wehave these known parameters? (Calculate LCL and UCL)Limits = 3LCL = 252 (1.2*3) = 248.5UCL= 252 + (1.2*3) = 255.6b. (1 point) Using the density data given, construct the X/S-chart.LastName2For the following problems, I recommend adjusting your plot window in RStudio (stretching itso it is wider) to allow you to view the Sample/Group numbers.c. (1 point) For which dai ...

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