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: 10; 5;15; 5; 11; 10; 8; 10. 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. 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 Part (a) Part (b) D Part (c) Θ Part (d) State the distribution to use for the test. (Enter your answer in the form z or taf where df is the degrees of freedom) Θ Part (e) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) 7.966 What is the p-value? (Round your answer to four decimal places.) 9.363 ec ma. answers to hre Round Construct a 95% confidence interval or the rue mean Sketch the graph of the situation. Label the point es mate and he lower and upper bounds o the confidence places.) en 959k C.I.

Answer 1