The Bank of New England is concerned about the amount of debt being accrued by customers using its credit cards. The Board of directors decided to install an expensive monitoring system if the mean for all the bank's customers is greater than $2000. The bank randomly selected 100 credit card holders and determined the amounts they charged. For this sample group the mean is $2180 and standard deviation is $845. Use 0.05 level of significance to test the claim that the mean amount charged is greater than $2000. Based on the results of testing, will the monitoring system be implemented?