Determine if this case need a p-chart, an R-chart, a c-chart, or an x-bar chart.

Kate has been hired by m&m's to address a quality problem that the production facility has been facing. With Halloween just around the corner, production is in high demand for peanut m&m's. Most of the process is automated with the packages getting a mix of colors of candies. Each bag should contain 16 ounces of candy; each candy is about one-half ounce. The mix in each bag should be approximately 20% red, 20% orange, 20% yellow, 20% blue, 10% green, and 10% brown.

There have been customer complaints that the company has received:

-Many are complaining that the bags do not appear full and believe that they are not getting a fair measure for the money they are paying, but no one has verified this.

-Several customers have complained about “too many green ones” in the package. Some have even reported counting the total number of candies and the number of green ones in a package. No one has ever complained about “too few green ones.”

Lucy, the manager has been assigned to “fix the problem.” She has hired Kate to help her. She has decided the first step is to determine if there really is a problem with the process. Lucy needs to implement lesson from Statistical Quality Control. Kate needs to analyze the problem, and create a system to monitor the quality of the product to assure that these customer complaints do not arise in the future. At first, Kate is not sure whether to count the m&m's, weigh them, or use some other measure. After giving it more thought, Kate decided to take random samples of 10 bags throughout the day and use their weights to monitor a “fair measure.”

The problem of “too many green ones” is a bit more difficult to formulate. Perhaps the green ones could be termed “defects,” but then Kate would have to say that each bag should contain about 10% “defects.” This wouldn't make sense in a report to the management. A better approach would be to say that since the bag should contain about 32 m&m's and 10% of those should be green, any bag containing 2, 3, or 4 green ones would be a “good” bag. Therefore, if a bag contained less than 2 or more than 4 green ones, the bag would be considered “bad” or “defective” with respect to the product specifications.

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

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

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

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

Question

Determine if this case need a p-chart, an R-chart, a c-chart, or an x-bar chart.

Kate has been hired by m&m's to address a quality problem that the production facility has been facing. With Halloween just around the corner, production is in high demand for peanut m&m's. Most of the process is automated with the packages getting a mix of colors of candies. Each bag should contain 16 ounces of candy; each candy is about one-half ounce. The mix in each bag should be approximately 20% red, 20% orange, 20% yellow, 20% blue, 10% green, and 10% brown.

There have been customer complaints that the company has received:

-Many are complaining that the bags do not appear full and believe that they are not getting a fair measure for the money they are paying, but no one has verified this.

-Several customers have complained about “too many green ones” in the package. Some have even reported counting the total number of candies and the number of green ones in a package. No one has ever complained about “too few green ones.”

Lucy, the manager has been assigned to “fix the problem.” She has hired Kate to help her. She has decided the first step is to determine if there really is a problem with the process. Lucy needs to implement lesson from Statistical Quality Control. Kate needs to analyze the problem, and create a system to monitor the quality of the product to assure that these customer complaints do not arise in the future. At first, Kate is not sure whether to count the m&m's, weigh them, or use some other measure. After giving it more thought, Kate decided to take random samples of 10 bags throughout the day and use their weights to monitor a “fair measure.”

The problem of “too many green ones” is a bit more difficult to formulate. Perhaps the green ones could be termed “defects,” but then Kate would have to say that each bag should contain about 10% “defects.” This wouldn't make sense in a report to the management. A better approach would be to say that since the bag should contain about 32 m&m's and 10% of those should be green, any bag containing 2, 3, or 4 green ones would be a “good” bag. Therefore, if a bag contained less than 2 or more than 4 green ones, the bag would be considered “bad” or “defective” with respect to the product specifications.

Should the Team use the same or different type of chart(s) to analyze this problem? Explain why.
Specifically, what information will the Team need to construct the chart(s) for this problem and how will they gather it?
Explain the calculations the Team will need to make – including formulas and tables he will need – to construct the chart(s).
After the Team has completed the chart(s), what should the Team do over the next week or so?

Accepted Answer

Answered: Image /qna-images/answer/794a9ed2-d78e-4d3b-b1c2-f057f52b8924.jpg