The mean number of sick days an employee takes per year is believed to be about...

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; 6; 14; 3; 11; 8; 7; 8. 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.

d) State the distribution to use for the test. (Enter your answer in the form z or t_df where df is the degrees of freedom.)

f) What is the p-value? (Round your answer to four decimal places.)

i) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to three decimal places.)

Solutions

Expert Solution

d) The distribution used for the Test Statistic is T-Distribution and df=7.

f) The P-Value is 0.2553.

Do comment for any doubts.

orchestra answered 1 year ago

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