The average 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; 5; 14; 5; 10; 10; 8; 9. Let X = the number of sick days they took for the past year. Should the personnel team believe that the average number is about 10? Conduct a hypothesis test at the 5% level.State the distribution to use for the test. What is the test statistic? Construct a 95% confidence interval for the true mean
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