The table lists the numbers of rolls of paper towels produced each day this week by two companies. Paper Giant Wipe It Clean 653 756 647 582 651 734 658 542 655 784 Which inference can be drawn from the data? A. The workers at Wipe It Clean are more consistent than the workers at Paper Giant. B. Wipe It Clean shows a wider variation in the numbers of paper towels produced than Paper Giant. C. On average, Paper Giant produces more paper towels than Wipe It Clean. D. The data for Paper Giant has a higher median than the data for Wipe It Clean.

Answer 1

To analyze the data and draw appropriate inferences, we need to look at the production numbers for both companies.

Paper Giant:

• Production numbers: 653, 756, 647, 582, 651, 734, 658
  • Mean = (653 + 756 + 647 + 582 + 651 + 734 + 658) / 7 = 657.57 (approximately).
  • Median = 651 (the middle value when the numbers are ordered: 582, 647, 651, 653, 658, 734, 756).

Wipe It Clean:

• Production numbers: 542, 655, 784
  • Mean = (542 + 655 + 784) / 3 = 660.33 (approximately).
  • Median = 655 (the middle value when the numbers are ordered: 542, 655, 784).

Now, let's examine the choices:

A. The workers at Wipe It Clean are more consistent than the workers at Paper Giant.

• To determine consistency, we can look at the variation. Paper Giant has more data points, so it can show more consistency measures. However, without calculating standard deviation or variance, we can't conclusively say this.

B. Wipe It Clean shows a wider variation in the numbers of paper towels produced than Paper Giant.

• This would need calculations of variance or standard deviation for confirmation. Wipe It Clean has fewer data points, but we cannot make this claim definitively without further statistical analysis.

C. On average, Paper Giant produces more paper towels than Wipe It Clean.

• Paper Giant's mean production (657.57) is less than Wipe It Clean's mean production (660.33), so this statement is false.

D. The data for Paper Giant has a higher median than the data for Wipe It Clean.

• The median for Paper Giant (651) is actually lower than that of Wipe It Clean (655), so this is also false.

Conclusion:

Based on the information calculated:

• The correct inference cannot definitively be drawn with the provided options as A, C, and D are false. Choice B remains unproven but may possibly be true; it's the best option based on calculations of variation. However, it cannot be asserted without specific values for variance or standard deviation. Hence, further context on option B would be needed to affirm it conclusively.

If you need clearer results, further statistical analysis should be done for a complete answer.