Preliminary Data Analyses Indicate That It Is Reasonable to Consider $\text { Use } \alpha = 0.01 \text {. }$

question 43

Essay

Preliminary data analyses indicate that it is reasonable to consider the assumptions for one-way ANOVA satisfied.Perform the required hypothesis test using the critical-value approach.
-A consumer magazine wants to compare the lifetimes of ballpoint pens of three different types. The magazine takes a random sample of pens of each type in the following table. Do the data indicate that there is a difference in mean lifetime for the three brands of ballpoint pens? Us $\text { Use } \alpha = 0.01 \text {. }$

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Definitions:

Arterial Duct

A blood vessel in a fetus that connects the pulmonary artery to the descending aorta, allowing most of the blood to bypass the fetus's developing lungs.

Pulmonary Trunk

The major artery that exits the heart, carrying deoxygenated blood from the right ventricle to the lungs for oxygenation.

Aorta

In humans, the major systemic artery that takes blood from the heart to the tissues.

Fetus

A developing human from roughly eight weeks after conception to the moment of birth.