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. TI sick days they took for the past year are as follows: 10; 5; 13; 5; 9; 9; 8; 9. Let X = the number of sick days they took for the past year. Should the personnel team believe that the mean 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, O Part (a) O Part (b) O Part (c) O Part (d) O Part (e) O Part (f

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