A Member of the Provincial Legislature Has Expressed Concern About

question 148

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.

---

Definitions:

Global Warming

The long-term increase in Earth's average surface temperature due to human activities, particularly the emission of greenhouse gases.

Environmental Movement

A diverse scientific, social, and political movement for addressing environmental issues through advocacy, education, and policy changes.

Greenhouse Effect

The trapping of the sun's warmth in the planet's lower atmosphere due to the greater transparency of the atmosphere to visible radiation from the sun than to infrared radiation emitted from the planet's surface.

Carbon Dioxide

A colorless, odorless gas produced by burning carbon and organic compounds and by respiration. It is naturally present in air and is absorbed by plants in photosynthesis.