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 |
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---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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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