| 1 point ; A study of the career paths of hotel general managers sent questionnaires to an SAIS Of 280 hotels belonging to major U . S . hotel chains . There were 178 responses . The average time these 178 general managers had spent with their current company was 10. 5 years . I Take it as known that the standard deviation of time with the company for all general managers is $ . 3 years . ! (a) Find the margin of error for an $5%6 confidence interval to estimate the mean time a general manager had spent with their current company* years ( 6) Find the margin of error for a $9%6 confidence interval to estimate the mean time a general manager had spent with their current company . years ( C ) In general , increasing the confidence level the margin of error ( width ; of the confidence interval . ( Enter ." " DECREASES"," DOES NOT CHANGE" Or " INCREASES ", without the quotes !| 1 point ; A class survey in a large class for first- year college students asked , " About how many minutes do you study on a typical weeknight ?" The mean response of the 298 students was * = 132 minutes . Suppose that we know that the study time follows a Normal distribution with standard deviation ` = 65 minutes in the population of all first - year students at this university . Use the survey result to give a 9.9%'6 confidence interval for the mean study time of all first - year students . to