When subjects were treated with a drug, their systolic blood pressure readings (

Question

When subjects were treated with a drug, their systolic blood pressure readings (in mm Ha) were measur the table below. Assune that the ed before and after the drug was taken Resulfts are gven in paired sample data is a simple randorn sample and that the diflerences 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 After 187 195 199 167 165 176 148 177 136 152147 157 179 183 159 144 163 169 158 159 164 148 185 172 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 t(Round to two decimal places as needed)

Explanation / Answer

I have solved it using R. Here is the solution:-

data= Before-After

t.test(data,alternative= "greater")

One Sample t-test

data: data
t = 2.3347, df = 11, p-value = 0.01977
alternative hypothesis: true mean is greater than 0
95 percent confidence interval:
3.173517 Inf
sample estimates:
mean of x
13.75

As the p-value is less than 0.05, we shall reject H0, thus the drug is affective in reducing the blood pressure

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