Webster Chemical Company produces mastics and caulking for the construction industry. The product is blended in large mixers and then pumped into tubes and capped. Webster is concerned whether the filling process for tubes of caulking is in statistical control. The process should be centered on 8 ounces per tube. Several samples of eight tubes are taken and each tube is weighed in ounces. Assuming that taking only 6 samples is sufficient, is the process in statistical control?     Tube 1  Tube 2 Tube 3 Tube 4 Tube 5 Tube 6 Tube 7 Tube 8 Sample 1 7.98 8.34 8.02 7.94 8.44 7.68 7.81 8.11 Sample 2 8.23 8.12 7.98 8.41 8.31 8.18 7.99 8.06 Sample 3 7.89 7.77 7.91 8.04 8.00 7.89 7.93 8.09 Sample 4 8.24 8.18 7.83 8.05 7.90 8.16 7.97 8.07 Sample 5 7.87 8.13 7.92 7.99 8.10 7.81 8.14 7.88 Sample 6 8.13 8.14 8.11 8.13 8.14 8.12 8.13 8.14

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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Webster Chemical Company produces mastics and caulking for the construction industry. The
product is blended in large mixers and then pumped into tubes and capped.
Webster is concerned whether the filling process for tubes of caulking is in statistical control. The
process should be centered on 8 ounces per tube. Several samples of eight tubes are taken and
each tube is weighed in ounces. Assuming that taking only 6 samples is sufficient, is the process
in statistical control?

 

  Tube 1  Tube 2 Tube 3 Tube 4 Tube 5 Tube 6 Tube 7 Tube 8
Sample 1 7.98 8.34 8.02 7.94 8.44 7.68 7.81 8.11
Sample 2 8.23 8.12 7.98 8.41 8.31 8.18 7.99 8.06
Sample 3 7.89 7.77 7.91 8.04 8.00 7.89 7.93 8.09
Sample 4 8.24 8.18 7.83 8.05 7.90 8.16 7.97 8.07
Sample 5 7.87 8.13 7.92 7.99 8.10 7.81 8.14 7.88
Sample 6 8.13 8.14 8.11 8.13 8.14 8.12 8.13 8.14
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