The data shown in Table 2 are the deviations from nominal diameter for holes

The data shown in table 2 are the deviations from

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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 2 Sample Number X 1 X 2 X 3 X 4 X 5 1 -30 50 -20 10 30 2 0 50 -60 -20 30 3 -50 10 20 30 20 4 -10 -10 30 -20 50 5 20 -40 50 20 10 6 0 0 40 -40 20 7 0 0 20 -20 -10 8 70 -30 30 -10 0 9 0 0 20 -20 10 10 10 20 30 10 50 11 40 0 20 0 20 12 30 20 30 10 40 13 30 -30 0 10 10 14 30 -10 50 -10 -30 15 10 -10 50 40 0 16 0 0 30 -10 0 17 20 20 30 30 -20 18 10 -20 50 30 10 19 50 -10 40 20 0 20 50 0 0 30 10 Question 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 havei=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 194.0, what are your conclusions regarding the ability of the i
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