A Member of the Provincial Legislature Has Expressed Concern About

Essay

A member of the provincial legislature has expressed concern about the differences in the mathematics test scores of grade 9 high school students across the province.She asks her research assistant to conduct a study to investigate what factors could account for the differences.The research assistant looked at a random sample of school districts across the province and used the factors of percentage of mathematics teachers in each district with a degree in mathematics,the average age of mathematics teachers,and the average salary of mathematics teachers $$\begin{array} { l c c } \text { Predictor } & \text { Coef } & \text { SE Coef } \\\text { Constant } & 35.178 & 7.595 \\\text { Math Dgr } & 0.22073 & 0.07131 \\\text { Age } & 0.3353 & 0.1901 \\\text { Salary } & 0.0930 & 0.1675\end{array}$$ s = 7.62090
Analysis of Variance $$\begin{array} { l c c } \text { Source } & \text { DF } & \text { SS } \\\text { Regression } & 3 & 1053.09 \\\text { Residual Error } & 32 & 1858.50\end{array}$$ $$\begin{array} { l c c } \text { Source } & \text { DF } & \text { Seq SS } \\\text { Math Dgr } & 1 & 672.10 \\\text { Age } & 1 & 363.09 \\\text { Salary } & 1 & 17.90\end{array}$$ Additional information related to this point estimate of 65.12 is given below.
Predicted Values for New Observations
50% with math degree,average age of 43 and average salary is 48.3
New $$\begin{array} { c c c } \text { Obs } & \text { Fit Standard } & \text { Deviation Fit } \\1 & 65.12 & 1.68\end{array}$$
-Determine the 95% confidence interval for this estimate and interpret its meaning.