The mean number of sick days an employee takes per year is believed to be about 10. members of a personnel department do not believe this figure. they randomly survey 8 employees. the number of sick days they took for the past year are as follows: 12; 6; 14; 4; 9; 8; 6; 8. let x = the number of sick days they took for the past year. should the personnel team believe that the mean number is about 10? conduct a hypothesis test at the 5% level. note: if you are using a student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (in general, you must first prove that assumption, though.)