The Index of Exposure to Radioactive Waste and the Cancer

The index of exposure to radioactive waste and the cancer mortality rates (deaths per 100,000) were recorded for nine different geographic regions.A 95% confidence interval for the mean cancer mortality rate of all regions whose index of exposure is 6.57 was determined to be (162.5,188.2) . $$\begin{array} { l c l l c } \text { Variable } & \text { Count } & \text { Mean } & \text { StdDev } & \text { Range } \\\text { Index of Exp } & 9 & 4.617778 & 1.163731 & 10.39 \\\text { Cancer Mortality Rate } & 9 & 157.3444 & 11.59712 & 96.8\end{array}$$ Dependent variable is: Cancer Mortality Rate R-squared = 85.8%
S = 14.00993 with 9 - 2 = 7 degrees of freedom $$\begin{array} { l l l l l } \text { Variable } & \text { Coefficient } & \text { SE(Coeff) } & \text { t-ratio } & \text { P-value } \\\text { Constant } & 114.7156 & 8.045663 & 14.25807 & 0.00000198 \\\text { Index of Exp } & 9.231456 & 1.418787 & 6.506584 & 0.000332\end{array}$$

A) Based on this regression,we are 95% confident that the mean index of exposure will increase between 162.5 and 188.2 points for each one-unit increase in the cancer mortality rate.
B) Based on this regression,95% of all random samples will have a mean cancer mortality rate between 162.5 and 188.2 deaths per 100,000.
C) With 95% confidence,the cancer mortality rate for a region with an index of exposure of 6.57 is between 162.5 and 188.2 deaths per 100,000,based on this regression.
D) Based on this regression,we are 95% confident that the mean cancer mortality rate will increase between 162.5 and 188.2 deaths per 100,000 for each one-unit increase in the index of exposure.
E) With 95% confidence,the mean cancer mortality rate for regions with an index of exposure of 6.57 is between 162.5 and 188.2 deaths per 100,000,based on this regression.