CC Operations Management Average Reliability & System Components Worksheet

Question Description

Instructions

Answer the following questions from your text in an MS Word document with questions identified by number, page, and title using MLA style. Your answers should provide thoughtful, supporting details, and examples and graphics as necessary.

Questions to answer: Chapter 5, Solve Problems 1, 3, 9 & 10; Chapter 6, Solve Problems 4, 6 & 19.

Chapter 5

  1. A CD player has five components that all must function for the player to work. The average reliability of each component is 0.90. What is the reliability of the CD player
  2. An office copier has four main components in a series with the following reliabilities: 0.89, 0.95, 0.90, and 0.90. Determine the reliability of the copier.
  3. BioTech Research Center is working to develop a new vaccine for the West Nile Virus. The project is so important that the firm has created three teams of experts to work on the project from different perspectives. Team 1 has a 90 percent chance of success, team 2 an 85 percent chance of success, and team 3 a 70 percent chance. What is the probability that BioTech will develop the vaccine?
  4. The following system of components has been proposed for a new product. Determine the reliability of the system.
    Image Here

)))))Chapter 6(((((((((

)))))) Question 4. A production manager at Ultra Clean Dishwashing Company is monitoring the quality of the company’s production process. There has been concern relative to the quality of the operation in accurately filling the 16 ounces of dishwashing liquid. The product is designed for a fill level of 16.00 ± 0.30. The company collected the following sample data on the production process:

Observations
Sample 1 2 3 4
1 16.40 16.11 15.90 15.78
2 15.97 16.10 16.20 15.81
3 15.91 16.00 16.04 15.92
4 16.20 16.21 15.93 15.95
5 15.87 16.21 16.34 16.43
6 15.43 15.49 15.55 15.92
7 16.43 16.21 15.99 16.00
8 15.50 15.92 16.12 16.02
9 16.13 16.21 16.05 16.01
10 15.68 16.43 16.20 15.97

(a) Are the process mean and range in statistical control?

(b) Do you think this process is capable of meeting the design standard?

))))) Question 6. The Awake Coffee Company produces gourmet instant coffee. The company wants to be sure that the average fill of coffee containers is 12.0 ounces. To make sure the process is in control, a worker periodically selects at random a box of six containers of coffee and measures their weight. When the process is in control, the range of the weight of coffee samples averages 0.6 ounce.

(a) Develop an R-chartR-chart and an ¯x–x¯–chart for this process.

(b) The measurements of weight from the last five samples taken of the six containers follow:

Sample ¯¯¯¯XX¯ RR
1 12.1 0.7
2 11.8 0.4
3 12.3 0.6
4 11.5 0.4
5 11.6 0.9

Is the process in control? Explain your answer.

))))))))) Question 19. 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:

Ounces of Toothpaste per Tube
Sample 1 2 3 4 5
1 5.78 6.34 6.24 5.23 6.12
2 5.89 5.87 6.12 6.21 5.99
3 6.22 5.78 5.76 6.02 6.10
4 6.02 5.56 6.21 6.23 6.00
5 5.77 5.76 5.87 5.78 6.03
6 6.00 5.89 6.02 5.98 5.78
  1. Develop a control chart for the mean and range for the available toothpaste data.
  2. Plot the observations on the control chart and comment on your findings.

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