A consumer products manufacturer operates a filling line that places liquid product in containers. Three different products

Question:

A consumer products manufacturer operates a filling line that places liquid product in containers. Three different products are filled on this line and the fill specifications are as follows.

Some data for some recent runs of these products are shown in the following table. From experience the production supervisor believes that the variation in fills is the same for all three products.

a. Using the minimum specified fill quantities as targets, construct a DTAR control chart
and determine the control status of this process. From this analysis, what are your
preliminary conclusions?
b. Using the charts constructed in part a comment on whether you think that the production
supervisor was correct in assuming that process variability is the same for all three products.
c. Assuming a normal distribution of fills, how much average overfill is required to ensure
that no more than approximately one-tenth of one percent of all containers are filled at
below the stipulated minimum?
The production operators make some adjustments on the line to try and avoid under fills while stabilizing the process. After the adjustments have been made the data summarized in the following table are collected. Have the adjustments worked? Is the process in statistical control? Explain.

e. Estimate the average overfills for each product after the adjustments described in part d.
f. Assuming a normal distribution, estimate the percentage of each of the three products that
will be under filled after the adjustments described in part d.

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