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Cattle Are Classified According to Age (Young, Medium, and Old)

question 67

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Cattle are classified according to age (young, medium, and old) and carcass quality (grades A, B, and C) . In one study, the animals were classified as :
 Grade A 75 medium  old  Total  Grade B 1008025180 Grade C 752030150 Total 2505045170150100500\begin{array}{lccccl} & \text { Grade A } & 75 & \text { medium } & \text { old } & \text { Total } \\& \text { Grade B } & 100 & 80 & 25 & 180 \\& \text { Grade C } & 75 & 20 & 30 & 150 \\\text { Total } & 250 & 50 & 45 & 170 \\& & 150 & 100 & 500\end{array}
The chi-square statistic for testing if there is an association between age and carcass quality was calculated. What is the expected frequency for the (2,2) ( 2,2 ) cell?


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