A new machine is set or calibrated to fill tubes of toothpaste at precisely 6.75 ounces. Then, once the machine is running, a sample of six tubes is taken every three hours and weighed with the following results: What is the mean range?
A) 0.000
B) 0.160
C) 0.080
D) 0.203

Question

A new machine is set or calibrated to fill tubes of toothpaste at precisely 6.75 ounces. Then, once the machine is running, a sample of six tubes is taken every three hours and weighed with the following results:  What is the mean range?
A) 0.000 
B) 0.160 
C) 0.080 
D) 0.203

Quizplus · Accepted Answer

To find the mean range, first we need to calculate the range for each sample. The range is the difference between the largest and smallest measurement in each sample.

Sample 1 range: 6.88 - 6.61 = 0.27 
Sample 2 range: 6.85 - 6.60 = 0.25 
Sample 3 range: 6.92 - 6.64 = 0.28 
Sample 4 range: 6.87 - 6.60 = 0.27 
Sample 5 range: 6.89 - 6.65 = 0.24 
Sample 6 range: 6.90 - 6.62 = 0.28

Next, we calculate the mean of these ranges: 
Mean range = (0.27 + 0.25 + 0.28 + 0.27 + 0.24 + 0.28) / 6 ≈ 0.08

Therefore, the correct answer is C) 0.080.

A New Machine Is Set or Calibrated to Fill Tubes