Case |
Average Fill for the 5 bottles tested |
Sample variance for the five bottles tested |
1 |
15.95 |
0.18 |
2 |
16.02 |
0.17 |
3 |
15.83 |
0.10 |
4 |
15.92 |
0.12 |
5 |
16.23 |
0.21 |
6 |
15.94 |
0.12 |
Total no of cases= 100
No of bottles in each case= 24
Total number of bottles or the total population= 2400
Sample for which the test was carried out = 6 cases
% of sample = 5x6/2400 = 30/2400= 1/80= 0.01
We tabulate the actual fill of the bottles by subtracting the variance from the data.
case |
Actual fill of the bottles |
1 |
15.77 |
2 |
15.85 |
3 |
15.73 |
4 |
15.8 |
5 |
16.02 |
6 |
15.82 |
Average fill = |
15.83 |
Therefore the average ounces per bottle is 15.83 with error of 0.01%
Coca-cola is testing a new processing line for filling 16-oz. bottles. They perform a test run in...
A quality-control engineer wants to find out whether or not a new machine that fills bottles with liquid has less variability than the machine currently in use. The engineer calibrates each machine to fill bottles with 16 ounces of a liquid. After running each machine for 5 hours, she randomly selects 15 filled bottles from each machine and measures the volume of their contents (in ounces). The resulting data is provided in the table below. Is the variability in the...