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

question 39

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 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 $\alpha = 0.01$ $$\begin{array} { c | c | c } \text { Machine } 1 & \text { Machine } 2 & \text { Machine 3 } \\\hline 32 & 40 & 31 \\32 & 29 & 28 \\31 & 38 & 29 \\30 & 33 & 25 \\33 & 36 & \\31 & 32 & \\& 35 &\end{array}$$

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Definitions:

Fovea

A small, central pit composed of closely packed cones in the eye's retina, responsible for achieving the maximum visual acuity and color perception under bright light conditions.

Lens

An optical device or medium through which light passes, altering its path or focus, often used metaphorically to describe a perspective or way of viewing something.

Cornea

The transparent front part of the eye that covers the iris, pupil, and anterior chamber, contributing to the eye's ability to focus.

Temporal Theory

A theory that suggests our perception of sound is related to the timing of auditory nerve fiber firing.