Perform the Indicated One-Way ANOVA Test $\alpha = 0.01$

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 researcher wishes to compare times it takes workers to assemble a certain computer component using
different machines. Workers are randomly selected and randomly assigned to one of three different machines.
The time (in minutes)it takes each worker to assemble the component is recorded. Test the claim that there is
no difference in the mean assembly times for the three machines. Use $\alpha = 0.01$ $$\begin{array} { c | c | c } \text { Machine } 1 & \text { Machine } 2 & \text { Machine 3 } \\\hline 32 & 40 & 31 \\32 & 29 & 28 \\31 & 38 & 29 \\30 & 33 & 25 \\33 & 36 & \\31 & 32 & \\& 35 &\end{array}$$