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A statistical process analyst is responsible for assuring statistical control. In one process, a machine is supposed to drop 11.4 ounces of mints into a bag. (Assume that this process can be approximated by a normal distribution). The acceptable ranges for weights of the bags of mints are 11.25 ounces to 11.55 ounces, inclusive. An error with the release valve has caused the setting on the mint release machine to "shift". Assume that the machine shift is filling the bags with a mean weight of 11.56 ounces and a standard deviation of 0.05 ounces. To check that the machine is placing the correct weight of mints into the bags, you randomly select three samples of five bags each and find the mean weight in ounces for each sample. Respond to the following: While sampling individual bags: You randomly select a bag of mints. What is the probability that the bag you select is not outside the acceptable range? (That is, you do not detect that the machine has shifted.) You randomly select 15 bags of mints. What is the probability that you select at least one bag that is not outside the acceptable range? While sampling groups of five: You randomly select a sample of five bags. What is the probability that your sample of five bags has a mean that is not outside the acceptable range? (That is, you do not detect that the machine has shifted.) You randomly select three samples of five bags. What is the probability that you select at least one sample of five bags that has a mean that is not outside the acceptable range? Describe your solutions to each of these problems and explain whether taking 15 bags of mints in one sample or three samples of five bags each is the better way to test for a process that is out of statistical control.
Produce a short report to update your manager on both the method and results of your analysis and the introduction od 'Six Sigma'.
Coral City has a beltway which circles the city.The City Council is concerned about the mean population speed of the cars on that beltway.Find the sample size if the City Council wants to estimate the mean speed within 1 mile per hour with 95%..
Use data from all networks, not just CBC movies and how well does this regression analysis explain the ratings?
According to a survey by Accountemps, 48% of Canadian executives within medium sized companies believe that employees are most productive on Tuesdays. Suppose 200 executives are randomly surveyed.
Example Study 2: Another researcher finds 4,000 men over 40 who have not had heart attacks and are willing to participate in a study. She assigns 2,000 of them into a regular program of supervised exercise. The other 2,000 continued their usual..
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the deci..
What is the deference between a complete factorial design and an incomplete factorial design and explain the difference between a two-way AMOVA and a three-way ANOVA.
Use a regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtr1 = 1 if Quarter 1, 0 otherwise; Qtr2 = 1 if Quarter 2, 0 otherwise; Qtr3 = 1 if Quarter 3, 0 otherwise.
Find a research article that uses a confidence interval. Give either the citation for it or the website address at which you found it. Discuss what the research was trying to show, as well as the results from the confidence interval. Give a little bi..
In 1997 the British government created a program
Let X1....X10 be a random sample from a population with mean 50 and standard deviation 4. Let X be the sample mean. Find the expected value and standard deviation of X. Do you know the probability distribution of X ? Clearly state any neces..
1. Briefly describe your area of research interest (1-3 sentences is sufficient).2. List 4 variables that you might assess in a research project related to your research area. List one for each type of measurement scale: Nominal, ordinal, interval, a..
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