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In this problem you may use R to simulate draws from the standard normal distribution only.
(a) Obtain 1000 samples from the chi-squared distribution with 1 degree of freedom by fifirst sampling 1000 samples Zi from a standard normal distribution (you can use built-in R functions), and then applying the appropriate transformation. Plot a histogram of the results. Overlay a curve onto the histogram denoting the true density.
(b) Repeat (a), but produce F-distributed random variables with 5 and 3 degrees of freedom, i.e., create samples from F5,3. by only generating standard normals (and then transforming in the appropriate way).
Determine the appropriate correlation matrix and use it to predict which variable will enter in the first step of a stepwise regression model.
Consider an edge-emitting laser with identical facets. Find the mirror loss and threshold gain if nactive =3.2, a,=5 cm·1 and L=l mm. Now consider that one of the facets is coated with a dielectric/metal layer such that th..
Most computer languages have a function that can be used to generate random numbers. In Microsoft's Excel, the RAND function can be used to generate random
Given the following box-and-whisker plot, determine the approximate values for the median, the first and third quartiles, and the range. Does the distribution appeared to be skewed? If so, is it positively skewed or negatively skewed?
What is the difference between a parameter and a statistic? Describe an example. Finally, there are "adjustments"
Suppose that events occur in accordance with a Poisson process al the rate of i five events per hour.
Contruct a confidence interval for the proportion of non-fatal accidents that involved a cell phone at a 95% confidence interval.
In a business publication such as The Wall Street Journal or Business Week, find a graph or chart representing time-series data.
What is the value of Fcrit for an experiment with k = 3, n1 = n2 = n3 = 10 subjects, and a = 0.01?
morens department store has a special sale whereby each customer upon checkout chooses a random ticket that is labeled
there are 8 cds in a rack 5 are jazz and 3 are classic rock. two cds are selected at random one after the other with
a) Are you likely to be able to pass by guessing on every question? Explain.
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