Chapter 11, Problem 18E

The null and alternate hypotheses are:

$\begin{array}{l}{H}_0:{\mu }_d=a_0\\ H_1:{\mu }_d\ne 0\end{array}$

The following paired observations show the number of traffic citations given for speeding by Officer Dhondt and Officer Meredith of the South Carolina Highway Patrol for the last 5 months.

At the .05 significance level, is there a difference in the mean number of citations given by the two officers?

1. What is the $p$-value?
2. Is the null hypothesis rejected?
3. What is the conclusion indicated by the analysis?

Note: Use the six-step hypothesis testing procedure to solve the following exercises.