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

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 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. Test the claim that there is no difference among the means.
Use $$\alpha = 0.05 .$$ $\begin{array}{ccc}\hline \text { Group 1}& \text { Group 2}& \text { Group 3 } \\\hline 11 & 8 & 6 \\12 & 2 & 12 \\13 & 3 & 4 \\15 & 5 & 8 \\9 & 4 & 9 \\8 & 0 & 4 \\\hline\end{array}$