Ten patients were selected to participate in an experiment to assess how a new medication affects pulse rates (Beats/min). The results are summarized below.

	Pulse Rates (beats/min) for 10 Patients before and after medication administration
Patient #	1	2	3	4	5	6	7	8	9	10
Before	81	76	82	80	86	79	83	85	84	82
After	78	76	77	76	82	78	81	80	81	78
Difference

a) Compute the pulse rate differences of the before and after values and complete the table.Using a histogram briefly describe the differences.

b) Test the null hypothesis that there is no change in pulse rates when patients take the new medication. Provide all steps of hypothesis testing, including assumptions and interpretation of the results. Assume that the data are normally distributed, regardless of your answer in part (a).