A hypertension trial is mounted and 12 participants are randomly assigned to receive either a new treatment or a placebo.  Each participant takes the assigned medication and their systolic blood pressure (SBP) is recorded after 6 months on the assigned treatment.  The data are as follows.   Placebo New Treatment 134 114 143 117 148 121 142 124 150 122 160 128  Is there a difference in mean SBP between treatments? Assume equal variances.  Run the test at a 5% level of significance. : 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value.

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A hypertension trial is mounted and 12 participants are randomly assigned to receive either a new treatment or a placebo.  Each participant takes the assigned medication and their systolic blood pressure (SBP) is recorded after 6 months on the assigned treatment.  The data are as follows.
 

 Placebo
New Treatment
134
114
143
117
148
121
142
124
150
122
160
128

 
Is there a difference in mean SBP between treatments? Assume equal variances.  Run the test at a 5% level of significance. : 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. 

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