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The Daytona 500 is a 500-mile automobile race held annually at the Daytona International Speedway in Daytona Beach, Florida. The following cross-tabulation shows the automobile make by average speed of the 25 winners from 1988 to 2012 (The 2013 World Almanac).

\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
\multirow{2}{*}{Make} & \multicolumn{6}{|c|}{Average Speed in Miles per Hour} \\
\cline{2-7}
& [tex]$130-139.9$[/tex] & [tex]$140-149.9$[/tex] & [tex]$150-159.9$[/tex] & [tex]$160-169.9$[/tex] & [tex]$170-179.9$[/tex] & Total \\
\hline
Buick & 1 & 3 & 5 & 4 & 3 & 16 \\
Chevrolet & 2 & 2 & 2 & 1 & & 7 \\
Dodge & 2 & 1 & 2 & 1 & & 6 \\
Ford & & 2 & 2 & 1 & & 5 \\
\hline
Total & 6 & 8 & 6 & 4 & 1 & 25 \\
\hline
\end{tabular}

1. Compute the row percentages. If required, round your answers to two decimal places. If your answer is zero, enter [tex]$0$[/tex].



Answer :

GinnyAnswer
To compute the row percentages for each make of car (Buick/Chevrolet and Dodge/Ford) based on the given table, we need to determine what percentage each cell's value represents of its row total. The row totals are provided, so we will use them for our calculations.

### Row Totals
- For Buick and Chevrolet combined: 16 winners.
- For Dodge and Ford combined: 9 winners.

### Buick/Chevrolet Calculations

For Buick and Chevrolet, let's calculate the row percentages for each speed category:

1. 130-139.9 mph:
- Winners: 1 (Buick) + 3 (Chevrolet) = 4
- Percentage: [tex]\( \frac{4}{16} \times 100 = 25.0 \% \)[/tex]

2. 140-149.9 mph:
- Winners: 5
- Percentage: [tex]\( \frac{5}{16} \times 100 = 31.25 \% \)[/tex]

3. 150-159.9 mph:
- Winners: 4
- Percentage: [tex]\( \frac{4}{16} \times 100 = 25.0 \% \)[/tex]

4. 160-169.9 mph:
- Winners: 3
- Percentage: [tex]\( \frac{3}{16} \times 100 = 18.75 \% \)[/tex]

5. 170-179.9 mph:
- Winners: 1
- Percentage: [tex]\( \frac{1}{16} \times 100 = 6.25 \% \)[/tex]

So the row percentages for Buick/Chevrolet are:
[tex]\[ [25.0, 31.25, 25.0, 18.75, 6.25] \% \][/tex]

### Dodge/Ford Calculations

For Dodge and Ford, let's calculate the row percentages for each speed category:

1. 130-139.9 mph:
- Winners: 2
- Percentage: [tex]\( \frac{2}{9} \times 100 = 22.22 \% \)[/tex]

2. 140-149.9 mph:
- Winners: 3
- Percentage: [tex]\( \frac{3}{9} \times 100 = 33.33 \% \)[/tex]

3. 150-159.9 mph:
- Winners: 2
- Percentage: [tex]\( \frac{2}{9} \times 100 = 22.22 \% \)[/tex]

4. 160-169.9 mph:
- Winners: 1
- Percentage: [tex]\( \frac{1}{9} \times 100 = 11.11 \% \)[/tex]

5. 170-179.9 mph:
- Winners: 0
- Percentage: [tex]\( \frac{0}{9} \times 100 = 0.0 \% \)[/tex]

So the row percentages for Dodge/Ford are:
[tex]\[ [22.22, 33.33, 22.22, 11.11, 0.0] \% \][/tex]

### Final Result

The row percentages, rounded to two decimal places, are as follows:
- Buick/Chevrolet:
[tex]\[ 25.00\%, 31.25\%, 25.00\%, 18.75\%, 6.25\% \][/tex]

- Dodge/Ford:
[tex]\[ 22.22\%, 33.33\%, 22.22\%, 11.11\%, -0.00 \][/tex]

These percentages represent how the total for each speed category contributes to the overall total for each car make.

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