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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?
Is there something wrong with the numbers? Explain. Are the events compact and domestic independent?
The hypotenuse of a right triangle is 10 ft longer than the shortest side. If the sum of the lengths of the two legs is 35 ft, find the lengths of all three sides.
At home medical test kits have increased in popularity in recent years. This year, 300 million test kits are expected to be sold. This represents a 115% increase from the number of kits that were sold last year. How many medical test kits were sol..
Find the regression coefficients.
What is your monthly mortgage payment? How much does your house cost per month including principal, interest, real estate taxes, and insurance?
Suppose that the scores of architects on a particular creativity test are normally distributed. Using a normal curve table (page 477-480), what percentage of architects have Z scores
Which method do you prefer when solving a system of equations? Why? What circumstances would cause you to use a different method?
Tom, Bill, John, and Ed are running for school president. The person in second place automatically becomes vice-president. How many possible outcomes are there in the sample space?
Flying with the wind a plane went 154 mph. Flying into the same wind the plane only went 124 mph. Find the speed of the wind and the speed of the plane in still air.
Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 12 cm if the tin is 0.04 cm thick.
Find, if they exist, points at which the tangents are vertical. Find, if they exist, points at which the tangents are horizontal.
However, all the elements were accounted for. So the Pythagoreans associated the dodecahedron to what we might call the ther, a mysterious non-earthly substance. Question Look at the regular convex polyhedra above. What does the word regular mean ..
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