A certain mineral is inspected for particle size. Since particles tend to separate out, a sample is taken from four different locations in the storage silo. The four samples are then averaged. The results of 30 samples are shown in the table.

b. In this particular process what does the average range represent?

d. if appropriate estimate the average particle size and the process variability in partical size.
Does any particle size variability exist between samples?

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Mea surement Sample N umber 1.92 1.62 1.85 1.92 1.85 1.60 1.82 1.83 1.94 1.98 1.87 1.88 1.86 1.98 1.90 0.32 1.72 1.76 1.77 1.82 1.80 1.76 1.80 1.94 1.76 1.85 1.80 1.85 1.87 1.90 .82 1.84 1.67 1.95 0.20 1.86 1.83 0.27 0.29 0.40 0.32 0.43 0.20 1.87 1.63 1.92 1.91 1.57 1.76 1.92 1.76 1.89 1.80 1.72 1.82 1.92 1.95 1.83 1.97 .74 1.85 1.93 1.89 1.76 1.88 2.25 0.72 1.93 1.69 1.99 2.00 1.90 1.95 2.03 1.95 1.79 1.85 1.85 20 1.80 2.04 2.20 2.21 0.43 0.24 1.96 1.94 23 1.87 2.00 1.55 1.60 1.96 1.77 0.43 0.25 25 26 1.79 1.66 2.08 1.57 2.00 1.80 1.63 1.62 0.38 1.92 1.83 1.92 1.82 29 1.84 0.06 0.22 1.78 Yand R Yand R