Astudy reports that recent college graduates from new hampshire face the highest average debt of $31,813 (the boston globe, may 27, 2012). a researcher from connecticut wants to determine how recent undergraduates from that state fare. he collects data on debt from 40 recent undergraduates. a portion of the data is shown in the accompanying table. assume that the population standard deviation is $5,000. [you may find it useful to reference the z table.] debt debt 24,042 31,921 19,157 31,531 26,757 34,212 31,923 14,629 31,527 29,866 34,210 37,413 14,629 22,269 24,371 29,873 31,014 37,417 20,112 22,265 22,087 33,845 21,675 17,478 14,952 28,238 22,705 30,056 23,520 35,137 26,214 25,120 23,718 22,928 24,036 28,912 19,159 23,638 26,764 29,332 picture click here for the excel data file a. construct the 95% confidence interval for the mean debt of all undergraduates from connecticut. (do not round intermediate calculations. round "z" value to 3 decimal places and final answers to 2 decimal places.) b. use the 95% confidence interval to determine if the debt of connecticut undergraduates differs from that of new hampshire undergraduates. the debt of connecticut undergraduates differs from that of new hampshire undergraduates. the debt of connecticut undergraduates does not differ from that of new hampshire undergraduates.