Acceptance sampling is an important quality control technique,where a batch of data is tested to determine if the proportion ofunits having a particular attribute exceeds a given percentage.Suppose that 11% of produced items are known to be nonconforming.Every week a batch of items is evaluated and the productionmachines are adjusted if the proportion of nonconforming itemsexceeds 15%. [You may find it useful to reference the z table.] a.What is the probability that the production machines will beadjusted if the batch consists of 52 items? (Round “z†value to 2decimal places, and final answer to 4 decimal places.) b. What isthe probability that the production machines will be adjusted ifthe batch consists of 104 items? (Round “z†value to 2 decimalplaces, and final answer to 4 decimal places.)
