The Same Police Department Decided to Reward Officers for Low

Essay

The same police department decided to reward officers for low rates of citizen complaints. Officers falling in the lower 20% (for the year 2015) will receive two additional paid days off for the year 2016.
a. Compute the mean.
b. Compute the standard deviation.
c. Compute the z scores for every individual officer.
d. Indicate the area under the normal curve (AUC) listed in the z-score table.
e. Indicate the percent ranking for each police officer.
f. List the officer IDs of the individuals who will receive two additional paid days for the year 2016.
$$\begin{array} { | c | c | } \hline \text { Officer ID } & \begin{array} { c } \text { No. of citizen } \\\text { complaints/2015 }\end{array} \\\hline 5556 & 1 \\\hline 5557 & 9 \\\hline 5558 & 3 \\\hline 5559 & 20 \\\hline 5560 & 14 \\\hline 5561 & 8 \\\hline 5562 & 5 \\\hline 5562 & 21 \\\hline 5562 & 0 \\\hline 5563 & 11 \\\hline 5564 & 0 \\\hline 5565 & 6 \\\hline 5566 & 15 \\\hline 5567 & 9 \\\hline 5568 & 4 \\\hline\end{array}$$