The Following ANOVA Table Shows the Results of a Study

question 12

Essay

The following ANOVA table shows the results of a study in which three different teachers taught calculus classes of five different sizes.The class average was recorded for each class.Assuming no effect from the interaction between teacher and class size,test the claim that the teacher has no effect on the class average. $$\begin{array}{l}\begin{array} { l r c c c c } &&\text { Sum of}&{ Mean }\\\text { Source } & \text { DF } & \text { Squares } & \text { Square } & \text { F-ratio } & \text { P-value } \\\text { Teacher } & 2 & 56.93 & 28.47 & 1.018 & 0.404 \\\text { Class } & 4 & 672.67 & 168.17 & 6.013 & 0.016 \\\text { Error } & 8 & 223.73 & 27.97 & & \\\text { Total } & 14 & 953.33 & & &\end{array}\end{array}$$

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Definitions:

Confidence Interval

The interval estimate of the mean value of y for a given value of x.

Linear Regression Model

A statistical technique that models and examines the linear relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.

Interval Estimate

An estimate of a population parameter that provides an interval believed to contain the value of the parameter. For the interval estimates in this chapter, it has the form: point estimate ± margin of error.

Regression Analysis

A set of statistical processes for estimating the relationships among variables, including a dependent variable and one or more independent variables.