Data on the rate of mixing of sand and salt particles in an air-fluidized bed are given in Table 28.3. The number of particles in each spot sample was about 100. 

(a) For each run. calculate the estimated standard deviations and the theoretical standard deviation for complete mixing σ_e. 

(b) How close was the mixture to being completely mixed after 87 s?

Table 28.3

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TABLE 28.3 Data on mixing of 35/48-mesh salt in sand in a 2-in. air-fluidized mixer" Mixing Run no. time, s 45 Number fraction of sand in spot samples 0.59 0.65 0.62 0.70 0.60 0.65 0.87 0.60 0.64 0.68 0.74 0.63 0.73 0.81 0.66 0.64 0.77 0.70 0.67 0.58 0.49 0.52 0.49 054 064 0.38 0.32 0.34 0:49 0.52 0.25 0.32 0.33 0.35 0.48 0.23 0.16 0.32 0.44 0.39 0.26 0.26 0.21 0.32 0.38 0.22 0.24 0.22 0.15 0.36 87 0.53 0.54 0.60 0.60 0.60 0.55 0.48 0.67 0.65 0.63 0.62 0.46 0.49 0.53 0.46 0.49 0.58 0.34 0.42 0.35 0.43 0.49 0.59 0.38 0.37 0.48 0.35 0.36 0.37 0.49 0.63 0.58 0.48 0.59 0.56 0.60 0.69 0.63 0.52 0.45 0.50 0.47 0.39 0.45 0.52 0.39 0.49 0.32 0.32 0.36