How much has the parameter for the poisson changed

Assignment Help Engineering Mathematics

Reference no: EM131524237

Question: A plant manager is interested in developing a quality-control program for an assembly line that produces light bulbs. To do so, the manager considers the quality of the products that come from the line. The light bulbs are packed in boxes of 12, and the line produces several thousand boxes of bulbs per day. To develop baseline data, workers test all the bulbs in 100 boxes. They obtain the following results:

Run @RISK's distribution fitting procedure on the preceding data choosing Discrete Sample Data (Counted Format) for the type of data.

a. The Fit Results window shows that the Poisson is the best fitting theoretical distribution. Is the Poisson a good choice? Why or why not? What is the interpretation of the parameter for the Poisson in this setting?

b. Noticing that there are only two boxes with three defective bulbs, you combine the last two categories in the preceding data. Rerunning @RISK's fitting procedure, we see that the binomial now fits best according to the Chi-Square measure, with the Poisson coming in a close second. How much has the parameter (m) for the Poisson changed from the case with four categories? Is there a reasonable interpretation of the parameters n and p for the binomial in this setting?

c. Which distribution would you use if you were the plant manager? Why?

Reference no: EM131524237

Questions Cloud

Create value for consumers and investors : create value for consumers, investors, and other stakeholders, such as the community in which the firm operates within its value chain.

Considering new three-year expansion project : Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.47 million.

Example of possible decision supported by hiring system : In the Information Systems course module (included in the Week 4 Learning Resources), you were introduced to the information requirements.

Identify top three issues your writing specialist focused : Identify the top three issues your writing specialist focused on in your rough draft (e.g. paragraph structure, proper use of quotations, and thesis statement).

How much has the parameter for the poisson changed : A plant manager is interested in developing a quality-control program for an assembly line that produces light bulbs.

Perspective of four classical ethical theories : Analyse the each article/case study from the perspective of four classical ethical theories including utilitarianism, deontology, virtue and contract.

What competencies were you able to develop in researching : What competencies were you able to develop in researching and writing the course Comprehensive Project?

Identify the key dilemmas the researcher in the media piece : Identify the key dilemmas the researcher in the media piece, Research Proposal: Ethics and Data Collection faced and describe why they posed ethical concerns.

Assess the network access needs of the business : You have conducted a needs analysis to assess the network access needs of the business you are working with.

User Account

All Pages