The Following ANOVA Table Shows the Results of an Experiment

question 5

Essay

The following ANOVA table shows the results of an experiment used to test scores for males and females at 4 different times of day.Assuming no effect from the interaction between gender and test time,test the claim that time of day does not affect test scores. $$\begin{array}{l}\begin{array} { l c c c c r } &&\text { Sum of}&{ Mean }\\\text { Source } & \text { DF } & \text { Squares } & \text { Square } & \text { F-ratio } & \text { P-value } \\\text { Gender } & 1 & 24.5 & 24.5 & 0.6652 & 0.4745 \\\text { Time } & 3 & 183 & 61 & 1.6561 & 0.3444 \\\text { Error } & 3 & 110.5 & 36.83 & & \\\text { Total } & 7 & 318 & & &\end{array}\end{array}$$

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Definitions:

Collective Efficacy

The shared belief in the ability of a group to achieve common objectives and influence events in their lives.

Group Cohesiveness

The strength of the relationships linking members of a group, affecting its performance and member satisfaction.

Challenging Work

Tasks or projects that require significant effort, skill, or innovation, offering individuals opportunities for learning and growth.

Reduced Supervision

A work environment where employees are given more autonomy and freedom, with less direct oversight from managers.