Case Study- Bayfield Mud Company

Case Study- Bayfield Mud CompanyDilipNavjotAmanpreet SinghIntroductionAccording to the case study of the bobby pin weight problem, therefore the avow department gathered the weight bag as a sample from three different break of serves (morning, afternoon, night) any day. As per given up report the six samples collected per fracture, therefore the size of the sample is six. To analysis the report of three different shift, we will apply x-bar chart and range chart. nevertheless we will take mean value i.e is 50, explanation given below. In addition we will also calculate the range chart figure for every samples in different shifts, which will be find out by applying formula (Largest-Smallest).AnalysisD3(Value taken from Sigma table)=0D4 (Value taken from Sigma table)==2.004N(Sample Size)=6Standard deviation=1.2Desired image Limit 3Sigma =99.73%FormulationFor X chartUCL x (Upper Control Limit for x bar) = X-Dbl Bar+ZxLower Control Limit (Upper Control Limit = X-Dbl Bar-Zxx= is c alculated by /Sqrt(n)For R graphUCLR (Upper Control Limit for the Range) = D4*RBarLCLR(Lower Control Limit for the Range)= D3*RbarMorning errorFor X ChartFor R ChartSamplesTime ShiftsAverageSmallest LargestRangeX Bar (Averages)49.80R-Bar (CL)3.4516Day 1 Morning49.648.750.72.0UCLx51.27LCL r0.002750.249.151.22.1LCLx48.33UCL r6.913850.649.651.41.8CL504950.850.251.81.651049.949.252.33.161150.348.651.73.171248.646.250.44.2814946.4503.696Day 2 Morning48.647.4524.61075049.252.23.011849.84952.43.412950.349.451.72.3131050.249.651.82.21411504952.33.315125048.852.43.616150.149.453.64.2176Day 3 Morning48.445494.018748.844.849.74.919849.64851.83.82095048.152.74.621105148.155.27.1221150.449.554.14.623125048.750.92.224148.947.651.23.6Afternoon ShiftFor X ChartFor R ChartSamplesTime ShiftsAverageSmallest LargestRangeX Bar (Averages)48.93R-Bar (CL)4.3812Day 1 Afternoon494650.64.6UCLx50.40LCL r0.002349.848.250.82.6LCLx47.46UCL r8.783450.349.252.73.5CL504551.45055.35.35651.649.254.75.56751.85055.65.6 785148.653.24.68950.549.452.4392Day 2 Afternoon49.7048.6512.410348.447.251.74.511447.2045.350.95.612546.844.1494.913646.84151.210.21475046.251.75.515847.44448.74.71694744.248.94.7172Day 3 Afternoon49.848.4512.618349.848.850.821945049.150.61.520547.845.251.2621646.44449.75.722746.444.4505.623847.246.648.92.324948.447.249.52.3Night ShiftsX Bar ChartR ChartSamplesTime ShiftsAverageSmallest LargestR-BarX Bar Average48.65R- Bar (CL)3.36110Day1 Night49.246.150.74.6UCLx51.50UCLr6.732114946.350.84.5LCLx45.80LCLr031248.4045.450.24.8CL504147.644.349.75.45247.444.149.65.56348.2045.2493.8744845.549.13.68548.4047.149.62.5910Day 2 Night47.246.650.23.6101148.647503111249.848.250.42.212149.648.451.73.3132504952.23.21435049.2500.815447.246.350.54.21654744.149.75.61710Day 3 Night49.248.150.72.6181148.404750.83.8191247.246.449.22.820147.446.8492.221248.847.251.44.222349.64950.61.62345150.551.5124550.55051.91.9Analysis Report After calculating and analysing the three different shifts of three days. We flock bring up that second shift and third shift consistently out of control. Although, 21 Samples of range chart is only out of control which is 7.10 which is greater than UCLr which is 6.9. Despite, this is only shift which is in control. By observing the second shift it is clearly seen that x chart is out of control, whereas R chart of second shift is in control only 13 Samples is out of control which is 10.20 whereas UCLr is 8.7842 Now, for third shift, the X bar Chart the process is consistently out of control whereas the R chart is absolutely in control.Recommendation. In order to control the system, Company should be done some changes, mention belowIn order to build up the productivity, knowledge should be provide to the new employees especially in the night shift. Another solution company can shift experienced employee in night shift to maintain the balance.Bayfield Mud Company should examine their machinery on regular basis as prescribed by managers. As we know a small issued can convert into big hindrance at the time of execution.Company should hire some quality control specialist who can take proper responsibilities of examine and track every problems with all documents in efficient way.Bayfield Company should do automated testing device to observe the bag weights.