Workers at your plant take 8.9 sick days per year on average. You wish to see if last year had a different amount of sick days. In a sample of 140 workers they took on average 9.2 sick days with a standard deviation of 2.8 sick days last year.

a) At the .05 level was the number of sick days taken by workers different than normal? (p = .207)

b) The 95% confidence interval is (8.73,9.67) Interpret this answer in context of the problem

c) If I did another sample of 140 workers and found the average number of sick days for the year used by these 140 workers would an average of 9.5 sick days be something I would expect to occur? Explain

d) How do explain the .3 days difference in the average number of sick days used based on the answer for a)