How are pedigree analysis and DNA testing used together in genetic screening?

Which two distributions can you use for hypothesis testing for this chapter?

Trace the testing whether an integer is prime algorithm for the given input.

$$n=3738$$

Find the sum of the interior angles of the following polygons:

a a hexagon

b a nonagon

c a heptagon

Use the given probability density function over the indicated interval to find the (a) mean, (b) variance, and (c) standard deviation of the random variable. (d) Then sketch the graph of the density function and locate the mean on the graph. $f(x)=\frac{3}{16} \sqrt{x},[0,4]$

Suppose that, X has the standard normal distribution, and let Y have the t distribution with five degrees of freedom. Explain why c=1.63 provides the largest value of the difference $\operatorname{Pr}(-c<X<c)-\operatorname{Pr}(-c<Y<c)$.

What is the statement about the value of a population parameter developed for the purpose of testing ?

A chi-square independence test is to be conducted to decide whether an association exists between two variables of a population. One variable has six possible values, and the other variable has four. What is the degrees of freedom for the $x^{2}$-statistic?

Two polygons are similar. The lengths of the corresponding sides are 5 in and 7 in. The polygon with the length of 5 in has an area of 50 $\mathrm{in}^{2}$. What is the area of the second polygon

Suppose that Y has a gamma distribution with

$$\alpha = n / 2$$

for some positive integer

$$n \text { and } \beta$$

equal to some specified value. Use the method of moment-generating functions to show that

$$W = 2 Y / \beta$$

has a

$$x ^ { 2 }$$

distribution with n degrees of freedom.

Propose the next step to take if data support the hypothesis you are testing.

The bond angles in a regular polygon with n sides are equal to 180°-360°/n, a. What are the bond angles in a regular octagon? b. What are the bond angles in a regular nonagon?

Some members of Congress have proposed a law that would make price stability the sole goal of monetary policy. Suppose such a law were passed.

a. How would the Fed respond to an event that contracted aggregate demand?

b. How would the Fed respond to an event that caused an adverse shift in short-run aggregate supply?

In each case, is there another monetary policy that would lead to greater stability in output?

Draw as many different grid polygons as you can that

• enclose 6 grid squares
• have at least two lines of symmetry Show all lines of symmetry