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Using the telephone numbers listed in your local directory as your population, randomly obtain 20 samples of size 3. From each telephone number identified as a source, take the fourth, fifth, and sixth digits.
Calculate the mean of the 20 samples
Draw a histogram showing the 20 sample means. (Use classes -0.5 to 0.5, 0.5 to 1.5, 1.5 to 2.5 and so on).
Describe the distribution of the x-bars that you see in part b (shape of distribution, center, and the amount of dispersion).
Draw 20 more samples and add the 20 new x-bars to the histogram in part b. Describe the distribution that seems to be developing.
Use the empirical rule to test for normality. See the sampling distribution of sample means and the central limit theorem develop from your own data!
represents an estimate of the average cost of gas for year x starting in 1997 ("Consumer price index," 2006). The year 1997 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 9, or ..
Describe specifically how you will use the technology to create the computer-based simulation model.
The Distance from B to C is 6 miles more than twice the distance from A to B The distance from A to C s 2 miles more than four times the distance from A to B what is the Distance from A to B?
An ecologist wishes to mark off a circular sampling region having radius 10 meters. However the radius of the resulting region is actually a random variable R with probability density function.
If the first pole is 'a' feet tall and the second pole is 'b' feet tall, and the two poles are 'd' feet apart, at what height do the tie lines cross ?
Sketch the bounded region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. (Do this on paper. Your instructor may ask you to turn in this graph..
Give five interesting facts about group theory (or tensor calculus). Each one need only be 1 to just a few sentences - please list separately and under each fact provide any links to websites or pictures etc.
Planet Z is 6,000 km in diameter. The acceleration due to gravity on Planet Z is 10.0 m/s2.
solve the problem and its dual, and relate the solutions to your sketch for question 1
a 6 ft ladder is leaning against a wall. If the bottom of the ladder moves away from the wall at a speed of 3 ft/s, how fast is the midpoint of the ladder falling (towards the ground) when the bottom of the ladder is 3 ftaway from the wall?
Create your system of linear equations then write a brief paper describing the system. Is this a consistent system or inconsistent system?
Write computer code to determine the steady state temperature at the five co-ordinates in the rectangular region: (a/4,b/4), (3a/4,b/4), (a/4,3b/4), (3a/4,3b/4), (a/2,b/2) using the first 100 terms of the series solution (n = 1 to 100).
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