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The Index of Exposure to Radioactive Waste and the Cancer

question 32

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The index of exposure to radioactive waste and the cancer mortality rates (deaths per 100,000) were recorded for nine different geographic regions.Use the regression analysis and summary statistics provided below to determine a 95% prediction interval for the cancer mortality rate of a county whose index of exposure is 5.93.  Variable  Count  Mean  StdDev  Range  Index of Exp 94.6177781.16373110.39 Cancer Mortality Rate 9157.344411.5971296.8\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  Variable  Coefficient  SE(Coeff)   t-ratio  P-value  Constant 114.71568.04566314.258070.00000198 Index of Exp 9.2314561.4187876.5065840.000332\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}


Definitions:

Transverse Tubules

These are extensions of the cell membrane that penetrate into the center of skeletal and cardiac muscle cells, facilitating the uniform contraction of the muscle.

Sarcolemma

The thin, plasma membrane that envelopes a muscle cell (fiber), playing a critical role in muscle contraction.

Z Lines

Positions within muscle fibers that mark the boundaries of sarcomeres, playing a critical role in muscle contraction by anchoring actin filaments.

I Bands

The light-appearing regions of a sarcomere in striated muscle fibers, primarily composed of thin actin filaments.

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