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Suppose that there are three uniform random variables U(0,1), X,Y,Z.
Solve the following questions with Monte Carlo simulations.
1) What is the probability density function of X + Y + Z?
2) What is the cumulative probability function of X + Y + Z? Graph it.
Explain your thinking. Will he be more likely or less likely to reject the null hypothesis than if had correctly used the t-distribution?
An engineer was comparing the output from two different processes by independently sampling each one.
Explain whether each of the following would be likely if you were to take a sample of 190 students from the original population.- The mean hours of sleep for the 190 students would be between 8 and 9 hours.
Pulling wood apart How heavy a load (pounds) is needed to pull apart pieces of Douglas fir 4 inches long and 1.5 inches square?
Which of the following is the most appropriate conclusion given this finding?
When we say we have a confidence level of 95%, what do you think our "margin of error" is? If we move the level of confidence from 95 to 99%, what will happen to our margin of error? What will happen to the width of our confidence interval?
assume that iq scores are normally distributed with a standard deviation of 15 points and a mean of 100 points. if 100
penner and watts 1991 investigated whether the time to drill holes in rock differs using dry or wet drilling. in dry
Consider a jar containing 4 blue marbles, 9 green marbles, and 5 yellow marbles. Suppose each marble has an equal chance of being picked from the jar. Find:
a new test was designed to have a mean of 80 and a standard deviation of 10. a random sample of 20 students at your
Does this provide evidence that there's a difference in retention rates of firstyear students at public and private colleges?
Discussion 1: Many people do not "like" or "trust" single point estimates for things they need measured. How might adding confidence intervals help managers accept the results better? Why?
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