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;10;8;6;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.

What is the test statistic?

What is thep-value?

Construct a 95% confidence interval for the true mean