A factory cans fresh pineapple in sugar syrup. The manager in charge is interested in estimating the average amount of sugar per can to within 2 mg of the true mean. From previous experiments, based on a very large sample, he knows that the standard deviation of the sugar content is approximately 15 mg. Each test measuring the amount of sugar in a can costs $45. Two thousand dollars have been budgeted for this experiment. Does the manager have enough funds to estimate the average amount of sugar per can with 90 percent confidence? Justify your