Question

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

0.05 significance​ level, is there sufficient evidence to support the claim that the drug is effective in lowering systolic blood​ pressure?

Before: 188, 210, 157, 179, 167, 195, 158, 175, 183, 169, 158, 155

After: 179, 179, 152, 147, 177, 176, 178, 162, 144, 186, 159, 156

In this​ example,

mud 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?

What is the test statistic?

What is the p value?

Is the p value less or greater than the significance level and do we fail to reject or reject Ho. Is there evidence to support the claim that the drug is effective in lowering systolic blood pressure?

Answer 1