X-bar Chart: Problem 1) A quality control inspector at the Beautiful Shampoo Company has taken eight samples with four 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 8 Observ ation 1 21.40 20.90 19.70 20.20 19.50 18.80 2 20.80 23.00 22.50 19.50 19.90 20.60 18.00 19.40 19.00 21.20 22.10 22.00 22.70 3 18.90 19.90 18.80 21.20 21.50 17.28 21.60 4 20.10 19.90 22.00 16.98 19.90 20.30 17.62 19.90 18.95 17.35 Mean 15.78 16.18 18.04 18.8 If the standard deviation of the shampoo bottle-filling operation is 0.6 ounces: (a) Fill out the values of the mean for each sample in the space provided above. (b) Use the information in the table to develop control limits of 2 standard deviations (below). (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). Conclusion: = O = CL= UCL= LCL =