Breeze Toothpaste Company makes tubes of toothpaste. The product is produced and then pumped into tubes and capped. The production manager is concerned whether the filling process for the tubes of toothpaste is in statistical control. The process should be centered on 6 ounces per tube. Six samples of five tubes were taken and each tube was weighed. The weights are:

(a) Develop a control chart for the mean and range for the available toothpaste data.

(b) Plot the observations on the control chart and comment on your findings.

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Ounces of Toothpaste per Tube Sample 2 3 4 6.24 5.78 6.34 5.23 6.12 6.12 2 5.89 5.87 6.21 5.99 5.78 3 6.22 5.76 6.10 6.02 6.21 6.23 6.00 4 6.02 5.56 5.77 5.76 5.87 5.78 6.03 5.98 6.00 5.89 6.02 5.78