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For one new product to be produced by the Aplus Company, bushings will need to be drilled into a metal block and cylindrical shafts inserted into the bushings. The shafts are required to have a radius of at least 1.0000 inch, but the radius should be as little larger than this as possible. With the proposed production process for producing the shafts, the probability distribution of the radius of a shaft has a triangular distribution with a minimum of 1.0000 inch, a most likely value of 1.0010 inches, and a maximum value of 1.0020 inches. With the proposed method of drilling the bushings, the probability distribution of the radius of a bushing has a normal distribution with a mean of 1.0020 inches and a standard deviation of 0.0010 inch. The clearance between a bushing and a shaft is the difference in their radii. Because they are selected at random, there occasionally is interference (i.e., negative clearance) between a bushing and a shaft to be mated. Management is concerned about the disruption in the production of the new product that would be caused by this occasional interference. Perhaps the production processes for the shafts and bushings should be improved (at considerable cost) to lessen the chance of interference. To evaluate the need for such improvements, management has asked you to determine how frequently interference would occur with the currently proposed production processes. Estimate the probability of interference by performing 500 iterations of a simulation on a spreadsheet. Also generate other available results regarding the frequency distribution of the clearance (positive or
The deadly Ebola virus is a threat to both people and gorillas in Central Africa. An outbreak in 2002 and 2003 killed 91 of 95 gorillas in seven home ranges in the Congo. Find the correlation r between distance and time. Find the regression equati..
Find the critical value and test statistic value follows normal distribution.
Develop a linear regression model for these data and forecast carpet sales if 30 construction permits for new homes are filed.
Thirty-two samples of 8 items each were collected from a process. The average sample mean is 12 and the average range is 0.10. The upper and lower control limits, respectively, for an:
Prepare a document flowchart to reflect how ANGIC Insurance Company processes its casualty claims. The process begins when the claims department receives a notice of loss from a claimant.
Consider the vector X in Problem 5.7.1 and define the average to be Y = (X1 + X2 + X3)/3. What is the probability that Y > 4? In this problem, we extend the proof of Theorem 5.16 to the case when A is m × n with m X = 0.
Forty percent of the homes constructed in the Quail Creek area include a security system. Three homes were selected at random. What is the probability all three homes selected have a security system?
in using the triangulation method to determine the range of an acoustic source the test equipment must accurately
inverse probability based on normal distribution.the mean price of new homes from a sample of houses is 155000 with a
the p-value for a two tail test of hypothesis is 0.014. what is the p-value for the corresponding one tail
A cereal manufacturer wants to determine if the filling machine is operating to specifications. The machine is specified to fill to a 12oz level.
What is the likelihood that the sample mean is between $19 and $21? Assume the population of fares is normally distributed. (Round z value to 2 decimal places and final answer to 4 decimal places.)
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