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Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 220 numerical entries from the file and r = 51 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using What is the value of the test statistic?
Determine the stable and unstable manifolds for the rest point of the system.
A pendulum is 18 feet long. Its central angle is 44º. The pendulum makes one back and forth swing every 12 seconds. Each minute, the pendulum swings _____ feet.
An elevator at a construction site has a maximum capacity of 3000 pounds. If the elevator operator weighs 245 pounds and each cement bag weighs 95 pounds, how many bags of cement can be safely lifted on the elevator in one trip?
From the information given here, determine the 95% confidence interval estimate of the population mean.
For any given circles R and R' in C_oo, there is a mobius transformation T such that T(r)=R'. Further, we can specify that T take any 3 points on R onto any 3 points of R'. If we do specify Tz_j for j=2,3,4 (distinct z_j in R), then T is unique.
A firm has an opportunity to invest $80000 today that will yield $92000 in one year. if the interest rates are 5% what is the net present value (NPV0 of this interest?
Interpret the results and draw onclusions that address the question posed in the case problem. What are the limits of the study? Write at least one paragraph.
For what values of k is the origin a hyperbolic equilibrium point of the system ? In this case, classify it as a sink, source or saddle. For what values of k is the origin a Non-hyperbolic equilibrium point of the system ? In this case, determine..
I want to prove that a population mean is not 150. Use an alpha of 5 percent & set up the full, detailed, five step hypothesis test. Suppose when the sample 200 is taken the sample standard deviation is ten & the sample mean is 151.77.
Give the y values for x = -2, -1, 0, 1, 2, 3. Using these points, draw a curve.
Hypothesis Testing Paper Select a research issue, problem, or opportunity facing an organization that could benefit from hypothesis testing.
957 randomly selected light bulbs were tested in a laboratory, 491 lasted more than 500 hours. Find a point estimate of true proportion of all light bulbs that last more than 500 hours.
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