To determine which inference can be drawn from the data, let's analyze the production numbers of each company.
Paper Giant:
- 653
- 647
- 651
- 658
- 655
Wipe It Clean:
- 756
- 582
- 734
- 542
- 784
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A. The workers at Wipe It Clean are more consistent than the workers at Paper Giant.
- To assess consistency, we can calculate the range or the standard deviation. Wipe It Clean's production numbers vary significantly (highest 784, lowest 542), suggesting less consistency compared to Paper Giant.
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B. Wipe It Clean shows a wider variation in the numbers of paper towels produced than Paper Giant.
- Calculating ranges:
- Paper Giant: Range = 658 - 647 = 11
- Wipe It Clean: Range = 784 - 542 = 242
- Wipe It Clean shows much wider variation.
- Calculating ranges:
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C. On average, Paper Giant produces more paper towels than Wipe It Clean.
- Calculate the averages:
- Paper Giant average = (653 + 647 + 651 + 658 + 655) / 5 = 664
- Wipe It Clean average = (756 + 582 + 734 + 542 + 784) / 5 = 679.6
- This indicates that Paper Giant does not produce more on average.
- Calculate the averages:
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D. The data for Paper Giant has a higher median than the data for Wipe It Clean.
- Find the medians:
- Paper Giant sorted: 647, 651, 653, 655, 658 → Median = 653
- Wipe It Clean sorted: 542, 582, 734, 756, 784 → Median = 734
- This shows that the median of Wipe It Clean is higher.
- Find the medians:
Based on this analysis, the correct inference is:
B. Wipe It Clean shows a wider variation in the numbers of paper towels produced than Paper Giant.
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