Need help with parts e and f

'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 gure. They randomly survey 8 employees. The number of sick days they took for the past year are as follows: 11; 4; 15; 4; 9; 8; 8; 10. LetX = 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 tdistribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must rst prove that assumption, though.) Part (a) Forum ~ Part (c) 9 Par! (d) B Part (a) What is the test statistic? (If using the 2 distribution round your answers to two decimal places, and if using the tdistribution round your answers to three decimal places.) I v = -1.187 x B Part (f) What is the pvalue? (Round your answer to four decimal places.) 9.1364 , X Explain what the pvalue means for this problem. o If H0 is true, then there is a chance equal to the pvalue that the average number of sick days for employees is at least as ditferent from 10 as the mean of the sample is different from 10. F' If H0 is true, then there is a chance equal to the pvalue the average number of sick days for employees is not at least as different from 10 as the mean of the sample is different from 10. C if H0 is false. then there is a chance equal to the pvalue the average number of sick days for employees is not at least as different from 10 as the mean of the sample is different from 10. F' lf H0 is false, then there is a chance equal to the pvalue that the average number of sick days for employees is at least as different from 10 as the mean of the sample is different from 10. v Correct! A p-value Is the probability that an outcome of the data will happen purely by chance when H\" Is true