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Use Software to Conduct the Analysis of Variance Test Do the Data Indicate That There Is a Difference in a Significance

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Use software to conduct the analysis of variance test. Use a significance level of 0.05 to test the null hypothesis.
-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.
 Brand 1 Brand 2 Brand 3260181238218240257184165241219218213\begin{array}{ccc} \underline{\text { Brand } 1}& \underline{ \text { Brand } 2}& \underline{ \text { Brand } 3}\\ 260 & 181 & 238 \\218 & 240 & 257 \\184 & 165 & 241 \\219 & 218 & 213\end{array}
Do the data indicate that there is a difference in mean lifetime for the three brands of ballpoint pens?


Definitions:

Drooping

Sagging or hanging down loosely, often used to describe parts of the body, plants, or objects.

Iris

The colored part of the eye surrounding the pupil, controlling light levels entering the eye by adjusting the pupil size.

Ciliary Body

A ring of tissue behind the iris of the eye, containing muscle that controls the shape of the lens for focusing and produces aqueous humor.

Hyperopia

A vision condition where distant objects are seen more clearly than near objects, often referred to as farsightedness.

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