A company produces 8-pound bags of cat litter; as shown below, it gathered 5 samples with 6 bags in each sample for quality control purposes.The weights of each of the bags are listed below. Determine .

Question

Quizplus · Accepted Answer

To determine the mean weight of the bags, we need to add up all the weights and divide by the total number of bags.

Total weight = 8.1 + 7.9 + 8.0 + 8.3 + 8.0 + 8.0 + 7.8 + 8.2 + 7.8 + 7.9 + 7.9 + 8.1 
Total number of bags = 6 x 5 = 30

Mean weight = Total weight / Total number of bags 
Mean weight = 97.3 / 30 
Mean weight = 3.24333 (rounded to 2 decimal places)

Since the bags are supposed to weigh 8 pounds, we want the mean weight to be as close to 8 as possible. The closest choice is B, with a mean weight of 8.06.

A Company Produces 8-Pound Bags of Cat Litter; as Shown