A Researcher Wishes to Determine Whether There Is a Difference

question 34

Multiple Choice

A researcher wishes to determine whether there is a difference in the average age of middle school, highschool, and college teachers. Teachers are randomly selected. Their ages are recorded below. Find the criticalvalue F-value to test the hypothesis that there is no difference in the average age of each group. Useα = 0.01. $$\begin{array} { c c c } \hline \text { Middle School Teachers } & \text { High School Teachers } & \text { College Teachers } \\\hline 23 & 38 & 39 \\28 & 36 & 45 \\27 & 41 & 36 \\52 & 47 & 61 \\25 & 42 & 45 \\37 & 31 & 35\end{array}$$

• A) 6.36
• B) 5.09
• C) 9.43
• D) 5.42

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Definitions:

Suburban

Pertaining to a residential area located on the outskirts of a city, characterized by lower population density than urban areas but more than rural areas.

Collaborating

The process of two or more people or organizations working together towards a common goal, often characterized by mutual respect and cooperation.

Ambivalence

Mixed feelings or contradictory attitudes toward a person, object, or situation.

Educators

Individuals such as teachers or professors responsible for delivering education and fostering learning.