Determine single sampling plans that will accept lots that are 0.8% nonconforming with a probability of 0.96 . Use acceptance numbers of 1,3 , and 4. If we desire batches that are 5% nonconforming to be accepted with a probability of no more than 0.04 , which of the plans above would be preferable? Will the plan meet this criterion? In a piston assembly, the specifications for the piston diameter are 120.5cm, and those for the cylinder diameter are 12.100.4cm. Assume that the natural tolerance limits coincide with the specifications. A clearance fit is required for the assembly. What proportion of the assemblies will be nonconforming, assuming a normal distribution of the piston and cylinder diameters? Clearances more than 0.8cm are undesirable. What proportion of the assemblies will not meet this stipulation? 4+2Marks