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A smooth wire has the form of the helix x = a cos θ, y = a sin θ, z = bθ, where θ is a real parameter, and a, b are positive constants. The wire is fixed with the axis Oz pointing vertically upwards.
A particle P, which can slide freely on the wire, is released from rest at the point (a, 0, 2πb). Find the speed of P when it reaches the point (a, 0, 0) and the time taken for it to do so.
we want to take a sample of 100 items out of a large batch for quality control purposes. based on past history the
Consider the Xbar charts shown below for two processes. The charts may OR may not have instances of special cause variation. Identify ALL violation(s) (if any) of the eight tests where statistical signals show that special cause variation is ind..
What is the probability that Player I describes to the event A?- What is the probability that Player II ascribes to the event A?
Construct a cross tabulation to examine the relationships between the two nominal/ordinal level variables. Assume that you selected a random sample of two hundreds cases and collected data on these cases.
conduct a test of hypothesis to determine whether the mean payroll of the teams was different from 80 million. .05 is
What is the probability that a randomly selected individual will own both a colour television and a stereo set? What is the probability that a randomly selected individual will own a colour television or a stereo set?
Determine the sample size needed in order to be 99% confident that the sample proportion of the current customer accounts is within .03 of the true proportion of all current accounts for this company.
assume a binomial probability distribution with formula n45 and 0.22 compute the followinga the mean and standard
At the 0.01 significance level is it reasonable to conclude that the modifaction reduced the number of traffic accidents?
The company selling the brand knows the age distribution of consumers.
In Example 6.9 (page 373), we found that the average student debt has risen between 1997 to 2002. In computing the difference, we did not adjust for differing values of the dollar.
What are the critical assumptions (not the stated constraints) for your answers in parts a and b? In other words, how good, qualitatively, are you answers?
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