If an Observed F Statistic (4

question 24

Multiple Choice

If an observed F statistic (4.80) with 1 degree of freedom within and 12 degrees of freedom between and a significance level of p =.04 and the table value is 4.75 what can the researcher conclude?

• A) He has proven there are differences between groups.
• B) There are no differences between groups.
• C) Differences between groups are due to chance.
• D) Differences between groups are greater than those expected by chance.

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Definitions:

Sum of Squares

A statistical measure that quantifies the total deviation of data points from their mean, often used in variance and standard deviation calculations.

Coefficient of Correlation

A statistical measure that calculates the strength and direction of the relationship between two variables.

Linear Relationship

A type of correlation where there is a constant rate of change between two variables.

Dependent Variable

A variable in an experiment or study whose changes are determined by the presence or manipulation of one or more independent variables.