# A newly hired human resource analyst proposes to senior management that the number of employee sick days could be reduced by converting to a flex-time work schedule.  Assume that historical records show that the population means for employee sick days is 5.28 days with a population standard deviation of 2.14 days.  Senior management agrees to a one-year pilot study involving fifty employees working a flex-time schedule.  After one-year, the analyst reports to management that the fifty employees in the study averaged 4.68 sick days during the year.  Does the flex-time work schedule reduce employee sick days?   What are the appropriate null and alternative hypotheses for this study?     Assuming that the H0 is true, what is the probability of the analyst arriving at these results?  (i.e., what is the p-value?)  Does the flex-time work schedule reduce employee sick days?                       Using a 0.05 level of significance, what is the necessary value of the test statistic to justify rejecting the H0 (and thus conclude the Ha)?

Question

A newly hired human resource analyst proposes to senior management that the number of employee sick days could be reduced by converting to a flex-time work schedule.  Assume that historical records show that the population means for employee sick days is 5.28 days with a population standard deviation of 2.14 days.  Senior management agrees to a one-year pilot study involving fifty employees working a flex-time schedule.  After one-year, the analyst reports to management that the fifty employees in the study averaged 4.68 sick days during the year.  Does the flex-time work schedule reduce employee sick days?

What are the appropriate null and alternative hypotheses for this study?

Assuming that the H0 is true, what is the probability of the analyst arriving at these results?  (i.e., what is the p-value?)  Does the flex-time work schedule reduce employee sick days?

Using a 0.05 level of significance, what is the necessary value of the test statistic to justify rejecting the H0 (and thus conclude the Ha)?