The Following Table Entries Are Test Scores for Males and Females

question 104

Essay

The following table entries are test scores for males and females at different times of day. Assuming no effect
from the interaction between gender and test time, test the claim that males and females perform the same on
the test. Use a 0.05 significance level. $\begin{array}{l|cccc} & 6 \text { a.m. }-9 \text { a.m. } 9 \text { a.m. - } 12 \text { p.m. } 12 \text { p.m. - 3 p.m. 3 p.m. - 6 p.m. } \\\hline \text { Male } & 87 & 89 & 92 & 85 \\\text { Female } & 72 & 84 & 94 & 89\end{array}$

$\begin{array}{lcllcc}\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \\\text { Gender } & 1 & 24.5 & 24.5 & 0.6652 & 0.4745 \\\text { Time } & 3 & 183 & 61 & 1.6561 & 0.3444 \\\text { Error } & 3 & 110.5 & 36.83 & &\end{array}$

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Definitions:

Literate

Having the ability to read and write, or possessing knowledge in a particular area.

Numerate

Having the ability or skill to perform basic mathematical operations and understand quantitative information.

School Reforms

Changes implemented in the education system to improve quality, accessibility, and relevance of education to meet changing societal needs.

Mentoring

The practice of providing guidance, advice, and support by a more experienced or knowledgeable person to help and encourage the development of another individual.