Consider the clearance, C, between shaft and a bearing. The shaft are mass produced such that outside diameter, S, are normally and independently distributed with mean μ_s=1.05 inches, and standard deviation σ_s. The bearing are produced such that diameter, B, are normally and independently distributed with mean μ_b=1.06 inches and standard deviation σ_b=0.001 inch. If production of shaft is to be controlled so that no more than 1% of randomly mated shafts and bearing will exhibit interference, what is the maximum allowable value of σ_s? Note that C=B-S