X-bar Chart: Problem 1) A quality control inspector at the Beautiful Shampoo Company has taken seven samples with five observations each, of the volume of shampoo bottles filled. The data collected by the inspector are shown here: Sample 1 2 3 4 5 6 7 Observ ation 1 19.90 19.50 21.20 21.40 19.90 18.80 2 18.80 22.10 19.50 20.60 18.00 3 19.70 20.20 18.90 20.10 23.00 20.80 23.00 22.50 19.90 21.10 19.90 4 21.60 22.00 20.40 19.40 18.20 21.20 21.50 22.50 22.00 22.70 23.00 20.30 20.20 5 Mean If the standard deviation of the shampoo bottle-filling operation is 0.7 ounces: (a) Fill out the values of the mean for each sample in the space provided above. (6) Use the information in the table to develop control limits of 3 standard deviations (below). Conclusion: (c) Graph an X bar chart for the above problem in the space provided. (d) Write the conclusion you draw from the chart (be specific). = CL= UCL LCL = Problem 2) For the volume of the shampoo bottles displayed in Problem R Chart: Sample 1 2 3 4 5 6 7 Observa tion 1 19.90 19.50 19.90 21.40 2 20.60 18.00 19.70 20.20 18.90 18.80 21.60 20.80 23.00 22.50 18.80 21.20 3 21.20 22.10 22.00 22.70 23.00 19.50 19.90 20.30 4 20.10 22.00 19.90 21.50 19.40 18.20 5 23.00 20.40 21.10 22.50 20.20 Mean (a) Calculate the range for each of the seven samples in the space provided. (b) Calculate control limits for the R chart (3 standard deviations) corresponding to this problem. (c) Graph the R chart for this bottling operations as neatly as you can. (d) What do you conclude from the chart? D3 = D4 = CL= Conclusion: UCLE LCl=