Approximate the distribution of the data

Assignment Help Basic Statistics

Reference no: EM131015158

Purified water is used in one step in the production of a medical device. The water is tested daily for bacteria. The results of 50 days of testing are contained in bacteria .txt. The values are the count of a particular strain of bacteria in a 100 ml sample of water. The process engineers would like to set up a warning limit and an action limit for future testing based on this data. If a sample were to test above the warning limit, then the engineers would be aware of potential system problems, such as a filter that might need changing. An action limit would indicate that the process should be stopped. Although there are regulatory limits on the bacteria level (which all of the samples fell below), the engineers wanted data-based warning and action limits on the bacteria level. They felt that a warning limit which 80% of the data fell below and an action limit which 95% of the data fell below would be reasonable.

(a) The data here are counts, so they are discrete, however, one might try to approximate the distribution with a continuous distribution. What distribution(s) might approximate the distribution of the data? What distribution(s) would not approximate the distribution of this data?

(b) Using quantiles, set up warning and action limits for the engineers.

(d) Do you think that the engineers could reduce their sampling from every day to every other day, or once a week? What information should you take into account in making such a decision?

Reference no: EM131015158

Questions Cloud

Express given integral as an iterated integral in variable u : Using the transformation of coordinates x = (3/8)u - (1/8)v and y =-(1/8)u + (3/8)v, express the integral ∫∫D(24x + 8y )dx dy as an iterated integral in the variables u and v. Do not evaluate the integral.

Conduct an internal and external environmental analysis : Create a SWOT table summarizing your findings. Your environmental analysis should consider, at a minimum, the following factors.

Display the color graph of the monastery liking network : Display the color graph of the monastery liking network in which you modified the nodes to indicate the novice monks' attributes. Describe what you observe

Should the company take this special order : If a computer manufacturer offers to buy 200,000 units of Blue-Ray drive for $2 million on a one-time special order. Assume that ABC Electronics has enough manufacturing capacity for the order and there will be no selling and administrative cost ..

Approximate the distribution of the data : The data here are counts, so they are discrete, however, one might try to approximate the distribution with a continuous distribution. What distribution(s) might approximate the distribution of the data? What distribution(s) would not approximate..

What conclusions are evident from your trend analysis : What conclusions are evident from your trend analysis? Justify your answers and explain how these findings might be relevant to the investor and the management of the company.

Practical information regarding the vendors : Is a sample of size 10 large enough to provide any practical information regarding the vendors supposed process improvement?

Estimate the probability of making : Suppose that one was unsure about the 0.1 probability given above and want to estimate the probability of making an A. If a random sample of 30 students resulted in six who made A, what would you estimate the probability of making an A to be?

What is true regarding the easystep interview process : Michael is wanting to produce GAAP financial statements for his client so that the client can apply for a loanat a bank. The client currently keeps their financial information in QuickBooks Premier Accountant. Which ofthe following programs would ..

User Account

All Pages