Test the Indicated Claim About the Means of Two Populations

question 104

Essay

Test the indicated claim about the means of two populations. Assume that the two samples are independent
simple random samples selected from normally distributed populations. Do not assume that the population
standard deviations are equal. A researcher wishes to determine whether people with high blood pressure can
reduce their blood pressure, measured in mm Hg, by following a particular diet. Use a significance level of 0.01
to test the claim that the treatment group is from a population with a smaller mean than the control group.
Include your null and alternative hypotheses, the test statistic, P-value or critical value(s), conclusion about the
null hypothesis, and conclusion about the claim in your answer. $$\begin{array} { | l | l | } \hline \hline { \text { Treatment Group } } & { \text { Control Group } } \\\hline n _ { 1 } = 35 & n _ { 2 } = 75 \\\hline \bar { x } _ { 1 } = 189.1 & \bar { x } _ { 2 } = 203.7 \\\hline s _ { 1 } = 38.7 & s _ { 2 } = 39.2 \\\hline \hline\end{array}$$

---

Definitions:

Fugitive Slave Act

Legislation passed by the United States Congress in 1850 that required the return of escaped slaves to their owners.

Legal Remedies

Judicial orders enforcing a right or redressing a wrong, which can include damages, injunctions, and other legal resolutions.

Sierra Leone

is a country in West Africa, known for its rich natural resources and recovering from a civil war that ended in 2002.