Mathematics
Florida International University Bottle Cap Case Initial Capability Paper

Florida International University

Question Description

I’m working on a Statistics question and need guidance to help me study.

Be very detailed and elaborate on the explainations


C.1. Explain the purpose of a capability analysis and why you would want to run the analysis for

this case.

C.2. Paste the initial capability analysis here – both Sixpack and Process Capability Report.

C3. Discuss assumptions required to perform a capability analysis and explain whether the assumptions have

been met or not. Discuss why capability analysis information may still be useful even if an assumption

had not been met.

C.4. Based on the results of the overall capability analysis, what is the capability of the current

process to hold the diameter? (discuss Cp, Cpu, Cpl and Cpk and describe what each tells about the

process.

C.5. Assuming the process remains in its current state, what would you predict the percentages out

of specification (expected overall) to be in the future? Describe how these percentages relate to the

indices.)

Unformatted Attachment Preview

Handout Version L BOTTLE CAP CASE (Rev 2_20) A. Understanding the Case. (This case was developed for educational purposes. While it was reviewed by an injection molding expert, some aspects of the case were introduced in the case entirely for educational purposes, and may not represent actual industry practice.) You are a member of a quality control team for a small injection molding company. Your company produces specialty plastic bottle caps used for wide mouth PET bottles. Your company has received some complaints about the consistency of the caps from the bottling company. Proper was thickness is important for a bottle cap because a tight seal with the bottle is extremely important. If the diameter is too large, the product will leak from the bottle. If the diameter is too small, the cap will not screw onto the threads of the bottle properly. Company engineers have determined that the ideal diameter for the bottle caps is 0.375 mm. However, they have allowed a +/- .004 tolerance. The caps are made using a Cincinnati Milacron, 250 ton, high pressure injection molding machine. The injection press runs 24 hours per day, with three shifts of eight hours each. There is a different operator for each shift. The mold used in the press is made of aluminum and can make up to nine caps in one cycle. Since the machine is dedicated to making this part, the mold stays in the machine. The resin (plastic pellets) used to make the caps is high density polyethylene (HDPE). This is a very common resin and is relatively inexpensive. The pellets are poured into a hopper above the machine, and then melted so the fluid can be injected into the mold. One cycle consists of 4 basic operations: closing the mold, injection of the resin, cooling of the part, and opening the mold. The equipment is run in semi-automatic mode where the operator closes the mold to start the cycle, but the mold is automatically opened at the end of a cycle. The operator presses a button and the parts are ejected into a temporary bin for inspection. In the current process, after every 10 cycles, the operator will select a sample of 5 parts at random for inspection with a go/no-go gage. If all 5 parts are good, the temporary bin is dumped into the crate for shipping to the customer at the end of the shift. If any of the 5 are not good, the parts are dumped into a scrap barrel. Proper temperature control of the part is essential to producing a quality part. The mold is cooled by a chiller, which pumps cold water through small channels in the mold in order to keep the mold cool. Depending on the cycle time, or even the weather, the chiller can sometimes become overheated, and as a result it will not be able to keep the mold temperature stable. When this happens, the diameter of the bottle caps may vary according to temperature changes in the mold. If you are not familiar with plastic injection molding, you may want to learn a bit about it before you start the case. There are many videos on YouTube that portray the process. You may find these videos helpful to understand the case. Injection molding basics: https://www.youtube.com/watch?v=RMjtmsr3CqA Animation: https://www.youtube.com/watch?v=b1U9W4iNDiQ Plastic crate with pellet loading: https://www.youtube.com/watch?v=YQRT-KIiv3g C. Initial Capability Run a capability analysis using the overall data. (Run both the capability analysis and the sixpack.) C.1. Explain the purpose of a capability analysis and why you would want to run the analysis for this case. C.2. Paste the initial capability analysis here – both Sixpack and Process Capability Report. C3. Discuss assumptions required to perform a capability analysis and explain whether the assumptions have been met or not. Discuss why capability analysis information may still be useful even if an assumption had not been met. C.4. Based on the results of the overall capability analysis, what is the capability of the current process to hold the diameter? (discuss Cp, Cpu, Cpl and Cpk and describe what each tells about the process. C.5. Assuming the process remains in its current state, what would you predict the percentages out of specification (expected overall) to be in the future? Describe how these percentages relate to the indices.) ...
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Final Answer

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Running head: INITIAL CAPABILITY

1

Initial Capability:
Name:
Institution affiliation:
Date:

INITIAL CAPABILITY

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C. Initial Capability
Run a capability analysis using the overall data. (Run both the capability analysis and the
sixpack.)
C.1. Explain the purpose of a capability analysis and why you would want to run the
analysis for this case.
The main purpose of a capability analysis is to measure how well a given process
performs. In other words, capability analysis is used to determine how well a process is meeting
a set of specified limits. During a capability analysis, the distribution of sample values that
represent the process outcome is compared to specification limits that ensure quality control
(Swift & Booker, 2013).
Therefore, taking into considera...

Chucks574 (14317)
University of Virginia

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