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. Give each of the following to receive full credit: 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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According to the provided information,
1) Hypothesis for the test is given below:
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