A manufacturer of dustless chalk instituted a quality control program to monitor chalk density. The sample standard deviations of densities for 24 different subgroups, each consisting of / = 8 chalk specimens, were as follows: This data has been coded so that you may copy and paste it into R with the name k.sdevs. k . sdevs = c (0. 204, 0. 312, 0. 095, 0. 183, 0. 228, 0. 209, 0. 321, 0. 289, 0.143, 0.213, 0. 050, 0.143,0.274,0.34 8, 0. 159, 0. 212, 0. 391, 0. 187, 0.149, 0. 232, 0. 276, 0. 120, 0.088, 0.053) mean (k . sdevs ) # Using the mean of k. sdevs and the appropriate multiplier to remove bias, calculate LCL and UCL # Construct your own Control Chart. LCL = LCL ##### change this value to be the same as your calculated LCL UCL = UCL ##### change this value to be the same as your calculated UCL plot (k. sdevs) abline(h = mean(k. sdevs) ) abline (h = LCL, Ity = 2) abline (h = UCL, Ity = 2)Fill in the Blanks Type your answers in all of the blanks and submit X X Q- Calculate limits for an 5 chart. S = Type your answer here (Round your answer to four decimal places) an = Type your answer here (Round your answer to three decimal places) LCL Type your answer here (Round your answer to four decimal places) UCL = Type your answer here (Round your answer to four decimal places)Select the correct s chart. Plot A Plot B 0.4 UCL 0.4 UCL 0.3 0.3 0.21 0.2 .. . LCL 0.1 0.1 LCL Subgroup Subgroup 5 10 15 20 25 5 10 15 20 25 -0.1 Plot C S Plot D 0.4 UCL 0.4 UCL 0.3 0.35 0.2 0.2K 0.1 . . LCL 0.1 LCL Subgroup Subgroup 5 10 15 20 25 5 10 15 20 25 -0.1 -0.14 Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a Plot A b Plot B C Plot C d Plot DBased on the s chart, which of the following statements is correct? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a The value of S on the 17th sample lies above the UCL, so the process appears to be out of control. b All points are between these limits, so the process appears to be in control with respect to variability. C Most points are between these limits, so the process appears to be in control with respect to variability. d All points are between these limits, so the process appears to be out of control with respect to variability. e Most points are between these limits, so the process appears to be out of control with respect to variability