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When subjects were treated with a drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results

When subjects were treated with a drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results are given in the table below. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Using a 0.05significance level, is there sufficient evidence to support the claim that the drug is effective in lowering systolic blood pressure?

Before

197

176

192

157

210

189

164

205

179

210

183

155

 

After

162

179

166

152

164

155

148

143

147

179

144

156

In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the systolic blood pressure reading before the drug was taken minus the reading after the drug was taken. What are the null and alternative hypotheses for the hypothesis test?

Identify the test statistic.

Identify the P-value.

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