A Consumer Magazine Wants to Compare the Lifetimes of Ballpoint $\alpha = 0.01$

question 105

Essay

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? Use $\alpha = 0.01$

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Definitions:

Profit Sharing

A company policy of distributing a portion of its net profits to its employees.

Team

A group of individuals working together towards a common goal, often characterized by collaboration, communication, and mutual support.

Taylorism

Also known as scientific management, it's an approach to industrial organization and efficiency developed by Frederick W. Taylor, emphasizing time studies, work standardization, and task specialization.

Scientific Management

Scientific Management is a theory of management that analyzes and synthesizes workflows, aiming to improve economic efficiency, especially labor productivity, by systematic study.