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:

Louisiana Transfer

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Dutch New Netherland

The 17th-century colonial province of the Dutch Republic that included parts of modern-day New York, New Jersey, Delaware, and Connecticut.

Dutch Authorities

Refers to the officials and institutions responsible for governing and managing the Netherlands, as well as Dutch colonies in historical contexts.

Racial Boundaries

Socially constructed lines that divide individuals based on perceived racial differences.