Suppose a hypertension trial is mounted and 12 participants are randomly assigned to the standard treatment or a new treatment. Each participant takes the assigned treatment and their systolic blood pressure is recorded after 6 months on the treatment. The data are shown in the table below. Is there a difference in mean systolic blood pressure among treatments? Run the appropriate test at α= 0.05.
Standard Treatment New Treatment
124 114
111 117
133 121
125 124
128 122
115 128
Please state the test you used with hypothesis statements, p-values or confidence intervals, a detailed conclusion, and any follow-up analysis if necessary.