A Researcher Wishes to Determine Whether There Is a Difference

question 3

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. Use α = 0.01.Which of the following is a correct statement about the means? $$\begin{array} { c c c } \hline \text { Middle School Teachers } & \text { High School Teachers } & \text { College Teachers } \\\hline 23 & 41 & 36 \\28 & 36 & 45 \\27 & 38 & 39 \\37 & 47 & 61 \\25 & 42 & 45 \\52 & 31 & 35 \\\hline\end{array}$$

• A) There is not enough evidence to suggest that the means are different.
• B) The mean age of middle school teachers is different from the mean age of high school teachers.
• C) The mean age of middle school teachers is different from the mean age of college teachers.
• D) The mean age of high school teachers is different from the mean age of college teachers.

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Definitions:

Statistical Regression

A statistical technique used to understand the relationship between independent variables and a dependent variable, often seen in predictive modeling.

Independent Groups Design

An experimental design where different participants are used in each condition of the experiment, without any overlap.

Random Assignment

Random assignment is a procedure in research design used to distribute participants across various experimental conditions or groups, ensuring each has an equal chance of being assigned to any group.

Independent Groups

A research design where different subjects are assigned to distinct groups, with each group experiencing a unique condition.