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The Dean of a Local School Wants to Determine If

Question 64

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The dean of a local school wants to determine if the grade distribution is independent of
the subject matter taught. How many degrees of freedom does this contingency table have?
 Subject ABCDE Science 51127711 History 14183257 English 1835681823\begin{array} { l l l l l l } \text { Subject } & \mathbf { A } & \mathbf { B } & \mathbf { C } & \mathbf { D } & \mathbf { E } \\\text { Science } & 5 & 11 & 27 & 7 & 11 \\\text { History } & 14 & 18 & 32 & 5 & 7 \\\text { English } & 18 & 35 & 68 & 18 & 23\end{array}

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