Creating histogram to determine if the data from three 'product parameters' are normally distributed.
The Black Belt team did a pareto analysis of the data and determined that three factors were causing over 95% of the problem with the leveler plates. Those factors are, the length of the plates, the width of the plates, and the thickness of the plates.
You need to know if the data from these three 'product parameters' are normally distributed.
Instructions for you:
1. Construct three (3) histograms for the three data sets.
2. Interpret each of the histograms to determine whether the variables are random or normally distributed.
Data:
Length Width Thickness
10.67 7.51 0.551
10.74 7.57 0.546
10.68 7.55 0.546
10.72 7.53 0.554
10.66 7.53 0.546
10.69 7.56 0.542
10.70 7.52 0.545
10.72 7.58 0.538
10.69 7.55 0.552
10.68 7.53 0.547
10.72 7.56 0.546
10.70 7.58 0.545
10.70 7.55 0.546
10.73 7.55 0.548
10.75 7.54 0.546
10.73 7.57 0.543
10.69 7.54 0.548
10.68 7.55 0.545
10.70 7.55 0.553
10.77 7.56 0.539
10.72 7.54 0.549
10.69 7.56 0.541
10.66 7.56 0.543
10.69 7.55 0.545
10.63 7.54 0.549
10.68 7.55 0.546
10.73 7.56 0.545
10.74 7.57 0.540
10.65 7.54 0.541
10.69 7.55 0.545
10.70 7.54 0.547
10.72 7.55 0.543
10.75 7.53 0.545
10.71 7.54 0.546
10.72 7.55 0.547
Upper Spec 11 7.66 0.56
Lower Spec 10.5 7.45 0.54
Target 10.75 7.55 0.55
We are looking for obvious signs of special cause variation. Try using 6 bins to get a better picture.
Slightly skewed is okay.
Project: Manufacturing
Deliverable: Histogram
Student last name: RiCHARD
Is 'length' normally distributed? Yes or No
Is 'width' normally distributed? Yes or No
Is 'thickness' normally distributed? Yes or No