Question

A food processing plant is packaging 32oz bags of coffee beans. The tolerance is 0.25 ounces. 100 bags of coffee were weighed, and the number at each weight is shown in the table below:

Weight # of bags
31.25. 1
31.7. 3
31.8. 3
31.83. 6
31.9. 15
32. 49
32.1. 14
32.2. 5
32.24. 2
32.3. 2

If more than 1 in 10 bags is outside of the acceptable tolerance, the bagging line is paused until the problem is identified. Does the line need to be paused?

Answer 1

Answer: No

Step-by-step explanation:

Answer 2

The percentage of bags outside the acceptable tolerance is 3%, which is less than 10%.

To determine if the bagging line needs to be paused, we can calculate the percentage of bags that fall outside the acceptable tolerance of 0.25 ounces.

Bags with weight less than 31.75 ounces or more than 32.25 ounces are considered outside the tolerance.

Let's calculate the number of bags outside the tolerance:

Bags with weight less than 31.75 ounces: 1 bag

Bags with weight more than 32.25 ounces: 2 bags

Total bags outside tolerance = 1 + 2 = 3 bags

Now, let's calculate the percentage of bags outside tolerance:

Percentage outside tolerance=( Total bags outside tolerance/ Total number of bags )×100

Percentage outside tolerance=( 100^3 )×100=3%

The percentage of bags outside the acceptable tolerance is 3%, which is less than 10%. Therefore, based on the given data, the bagging line does not need to be paused as the percentage of bags outside the tolerance is within the acceptable limit.