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Examine the Empirical Rule describing the Normal Curve. Compare how the Empirical Rule and Chebyshev's Theorem describe area under the curve at two and three standard deviations from the mean.
1. What are the differences and why are there differences?
2. In what areas of your daily lives are normal curves used to describe things?
3. What would you say if your local school scored a z = 0 on the fourth grade reading achievement test?
4. Let's look at sampling distributions. Why will a sampling distribution yield a better view of the population than a single sample? How might a single sample differ from a sampling distribution?
5. Sampling size is something else that we need to consider. At what point in sampling size can we assume that a normal distribution will be seen? Why is this number considered to be one of statistic's "magic" numbers?
We already saw this for nfinit which accepts either a polynomial or an nf. It will be true for ideals, ideles, congruence subgroups, etc. Ok, let"s stick with elements for the time being. How does one go from one representation to the other?
Find fourier series of f(x)=4, x greater than -3 and less than 3. Find fourier series of f(x) = x^2-x+3, x greater than -2 and less than 2
A wrench 0.2 meters long lies along the positive -yaxis, and grips a bolt at the origin. A force is applied in the direction of(0,4,1) at the end of the wrench. Find the magnitude of the force in newtons needed to supply 100 newton-meters of torqu..
Interpret your results. (Explain clearly how the decision is made in terms of the null hypothesis and give a conclusion in context.)
Find the average rate of change per month in the average price per gallon for each time period. From January to July (the peak), From July to December and From January to December.
if f and g are differentiable function on [a,b], what identifies the extrema of f+g or fg. Do these extrema relate to the extrema of the functions?
ON a traingle, the tip is 69 degrees, the bottom right hand corner is 55 degrees, the other is unknown. One side is 75 and the other is equal. What is the base of the triangle?
How many different trains of white (1x1) and/or red (1x2) rods are there of a given length N? Find at least 2 ways to justify your solution
You have a rectangle that is 4 2/3 ft in long and 1 1/2 ft in width. Add 1/4 to each side. What is the area
A level surface of the function
What is the most expensive house Elwood
If a person is 5 feet 4 inches tall, what effect does a 8% increase in weight have on S?
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