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Question 2.The data shown in Table 2 are the deviations from nominal diameter for holesdrilled in a carbon fiber composite material used in aerospace manufacturing. The valuesreported are deviations from nominal in ten-thousandths of an inch.(a) Set up ´Xand S charts on the process. Is the process in statistical control?(b) Estimate the process standard deviation.Table 2SampleNumberX1X2X3X4X51-3050-2010302050-60-20303-50102030204-10-1030-2050520-4050201060040-402070020-20-10870-3030-10090020-201010102030105011400200201230203010401330-30010101430-1050-10-301510-1050400160030-1001720203030-201810-205030101950-10402002050003010Question 3.Samples of n=4 items are taken from a process at regular intervals. A normallydistributed quality characteristics is measured and ´xand svalues are calculated for each sample.After 50 subgroups have been analyzed, we have∑i=150´xi=1000 and ∑=150si=72(a) Compute the control limit for the ´xand s control charts.(b) Assume that all points on both charts plot within the control limits. What are the natural tolerance limits of the process?(c) If the specification limits are 19∓4.0, what are your conclusions regarding the ability of the i