In: Statistics and Probability
You work the human resources in your county’s criminal justice department. You have noticed that it seems that probation officers miss more days of work in a year than parole officers. You think they do but you want to be sure that the difference is significant. You collect data on the number of missed days of work and determine that the mean number of missed days for parole officers is 7 and the mean number of missed days for probation officers is 12. The grouped standard deviation is 2. You assume a normal distribution of your variables.
Would you reject the null hypothesis for a:
i. One-tailed .05 test? (5 pts)
ii. Two-tailed .01 test? (5 pts)
*edit: sample size not given in the problem.