Perform the Indicated One-Way ANOVA Test $\alpha = 0.05$

question 91

Essay

Perform the indicated one-way ANOVA test. Be sure to do the following: identify the claim and state the null and
alternative hypotheses. Determine the critical value and rejection region. Calculate the test statistic F. Decide to reject
or to fail to reject the null hypothesis and interpret the decision in the context of the original claim. Assume that each
population is normally distributed and that the population variances are equal.
-A medical researcher wishes to try three different techniques to lower blood pressure of patients with high
blood-pressure. The subjects are randomly selected and randomly assigned to one of three groups. Group 1 is
given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of
six weeks, each subjectʹs blood pressure is recorded. Perform a Scheffe´ Test to determine which means have a
significance difference. Use $\alpha = 0.05$ $\begin{array}{ccc}\hline \text { Group 1}&\text { Group 2 }&\text { Group 3 } \\\hline 11 & 8 & 6 \\12 & 2 & 12 \\13 & 5 & 4 \\15 & 3 & 8 \\9 & 4 & 9 \\8 & 0 & 4 \\\hline\end{array}$

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Definitions:

Fleeing Slavery

The act of escaping from the condition of being legally owned by someone else and forced to work for them, often observed in historical contexts such as the antebellum United States.

Massachusetts Bay Colony

An early English settlement established in the 17th century in the Northeastern United States, pivotal in the history and development of America.

British Caribbean

Refers to the region in the Caribbean once colonized and controlled by Britain, characterized by a history of plantation economies, slavery, and later, emancipation and independence movements.

Yamasee War

A conflict from 1715 to 1717 in the southern British colonies, initiated by the Yamasee and several other Native American tribes against European settlers due to trade abuses and land encroachment.