Tom Dooley and the Crabby Candy Company Quality Management Problem

Background:

Tom Dooley, a recent graduate from Seahawk University, has joined Crabby Candy Company, which produces gum drops in various colors and flavors. The company has been facing customer complaints regarding their gum drop packages.

Customer Complaints:
1. Bags appear not to be full, and customers feel they are not receiving a fair measure.
2. There are "too many green ones" in the package.

Objective:

Tom's task is to determine if there is a problem with the production process and to ensure quality control using the tools from his Quality Management course.

Plan:

Tom decided to:
- Take random samples of 10 bags throughout the day.
- Use their weights to monitor "fair measure."
- Address the "too many green ones" issue by defining bags with 2-4 green ones as "good."

Questions:

1. a) What kind of chart(s) does Tom need to analyze this problem? Explain why you chose the chart(s).

b) Specifically, what information will Tom need to construct the chart(s) and how will he gather it?

c) Explain the calculations Tom will need to make – including formulas and tables he will need – to construct the chart(s).

d) After he has completed the chart(s), what should Tom do over the next week or so?

2. a) Should Tom use the same or different type of chart(s) to analyze this problem? Explain why.

b) Specifically, what information will Tom need to construct the chart(s) for this problem and how will he gather it?

c) Explain the calculations Tom will need to make – including formulas and tables he will need – to construct the chart(s).

d) After he has completed the chart(s), what should Tom do over the next week or so?

a) The x-bar chart will help him monitor the average weight of the gum drops in each bag, ensuring they meet the 16-ounce requirement. The R-chart will help him monitor the range of weights within each sample, providing insight into the variability of the weights.

b) Tom will need to gather random samples of 10 bags throughout the day and weigh the gum drops in each bag.

c) To construct the x-bar chart, Tom will calculate the average weight of the gum drops in each sample. He will then plot these averages on the chart and calculate the control limits based on the sample size.

To construct the R-chart, he will calculate the range of weights within each sample and plot them on the chart, also calculating the control limits.

d) After completing the charts, Tom should monitor the process over the next week or so, looking for any patterns or trends that indicate issues with the weight of the gum drops.

Tom should use a p-chart to analyze the problem of "too many green ones" in the bags.

a) The p-chart will help him monitor the proportion of green gum drops in each bag, ensuring they are within the acceptable range of 2-4 green ones per bag.

b) Tom will need to gather random samples of 10 bags throughout the day and count the number of green gum drops in each bag.

c) To construct the p-chart, Tom will calculate the proportion of green gum drops in each sample. He will then calculate the overall proportion of green gum drops and the control limits based on the sample size.

d) After completing the chart, Tom should monitor the process over the next week or so, looking for any points outside the control limits or trends that indicate issues with the proportion of green gum drops. He should also investigate any "bad" or "defective" bags with less than 2 or more than 4 green gum drops.

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