Question
You may need to use the appropriate appendix table or technology to answer this question. The mean number of sick days an employee takes
You may need to use the appropriate appendix table or technology to answer this question. 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: 11; 3; 14; 2; 10; 7; 7; 9. 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. State the null and alternative hypotheses (in days). (Enter != for as needed.) Ho Ha What is the test statistic? (Round your answer to two decimal places.) What is/are the critical value(s)? (If using the z distribution round your answer(s) to two decimal places, and if using the t distribution round your answer(s) to three decimal places. Enter NONE for any unused answer blanks.) lower tail upper tail What is the decision of the test and what conclusions can be drawn? At the 5% level of significance we would fail to reject Ho and conclude that there is not sufficient evidence to conclude that the average number of sick days used per year by an employee is not equal to 10 days. At the 5% level of significance we would reject Ho and conclude that there is sufficient evidence to conclude that the average number of sick days used per year by an employee is not equal to 10 days. O At the 5% level of significance we would reject Ho and conclude that there is not sufficient evidence to conclude that the average number of sick days used per year by an employee is not equal to 10 days. At the 5% level of significance we would fail to reject Ho and conclude that there is sufficient evidence to conclude that the average number of sick days used per year by an employee is not equal to 10 days.
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