The international organisation for standardization (ios) has developed strict standards for the production of perishable goods. in relation to chocolates, the ios requires confidence levels to be calculated for the mean number of defective chocolates that are created in a year by chocolate companies. the standard strictly states that the margin of error required for these calculations should be no more than ±1,100 chocolates. badbury chocolates are planning on carrying out a quality assurance test and they want to ensure that this testing process complies with the ios standards. the chief of quality control, meticulous martin, has declared that badbury will tolerate a margin of error of no more than ±600 chocolates during its testing process. based on past testing, martin believes that the population standard deviation of the number of defective chocolates produced by badbury in a year is equal to 5,250. meticulous martin would like to be overly conservative during the quality assurance test and require a level of confidence of 99.7%. a)calculate the minimum sample size (n) that should be used by martin to construct a 99.7% confidence interval for the mean number of defective chocolates produced by badbury in a year. give your answer as a whole number.