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Question
and safety data
distribution of mileage efficiencies across different weight classes
what is the missing value for heavyweight cars in the medium-mileage category?
(table with columns: weight, high mileage, medium mileage, low mileage, total; rows: light (2,1,0,3), medium (?,2,1,3), heavy (0,?,2,2), total (2,3,3,8))
(options: 2, 1, 0, 3)
Step1: Recall the total formula for a row
For a row in a contingency table, the sum of the values in the columns (High, Medium, Low Mileage) should equal the Total value of the row.
Step2: Apply the formula to the Heavy row
For the "Heavy" weight class row, we know the values for High Mileage is 0, Low Mileage is 2, and the Total is 2. Let the missing value (Medium Mileage for Heavy) be \( x \). Then we have the equation: \( 0 + x + 2 = 2 \).
Step3: Solve for \( x \)
Subtract 2 and 0 from both sides of the equation: \( x = 2 - 2 - 0 = 0 \).
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