To Test to Determine Whether There Is Any Significant Difference

question 28

Essay

To test to determine whether there is any significant difference in the mean number of units produced per week by each of three production methods, the following data were collected: $$\begin{array} { c c c } \text { Method I } & \text { Method II } & \text { Method III } \\182 & 170 & 162 \\170 & 192 & 166 \\180 & 190 &\end{array}$$ At the α = .05 level of significance, is there any difference in the mean number of units produced per week by each method? Show the complete ANOVA table. (Please note that the sample sizes are not equal.)

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Definitions:

Risky Activities

Behaviors or actions that involve a significant degree of danger or potential harm to oneself or others.

Peer Behavior

The actions or reactions of individuals of the same age or maturity level, influencing or reflecting social norms or group dynamics.

Adolescents' Perceptions

The way in which adolescents interpret and understand their environments, experiences, and themselves.

Ethnic Identity

A person's sense of belonging to a particular ethnic group, including aspects of culture, tradition, language, and heritage.