The Anorexia data file on the book's website shows weight change for anorexic teenage girls who were randomly assigned to one of three psychological treatments (cognitive or family therapy and a control treatment). Use software to analyze these data. (The change scores are in the last three columns of the data set. Alternatively, the website also contains a data set that shows the data in "long" format, with the treatment in one column and the change score in another column.)

For the one-way ANOVA comparing the three mean weight changes, report the test statistic and P-value. Explain how to interpret.

Write the following functions as a composition of two functions. Answers will vary. See the earlier exa

$$f(x)=x+\sqrt{x+2}-5$$

The table shows the amount of public medical expenditures (in billions of dollars) for worker's compensation $x$, public assistance $y$, and Medicare $z$ for selected years. (Source: Centers for Medicare and Medicaid Services)

$$\begin{array}{|l|l|l|l|l|l|l|} \hline \text { Year } & 1990 & 1996 & 1997 & 1998 & 1999 & 2000 \\ \hline x & 17.5 & 21.9 & 20.5 & 20.8 & 22.5 & 23.3 \\ \hline y & 78.7 & 157.6 & 164.8 & 176.6 & 191.8 & 208.5 \\ \hline z & 110.2 & 197.5 & 208.2 & 209.5 & 212.6 & 224.4 \\ \hline \end{array}$$

A model for the data is given by

$$z=-1.3520 x^2-0.0025 y^2+56.080 x+1.537 y-562.23 \text {. }$$

Determine the concavity of traces parallel to the $x z$-plane. Interpret the result in the context of the problem.

Mollie has 100/300/50 liability insurance and $50,000 PIP insurance. She drives through a stop sign and hits a telephone pole and bounces into a minivan with 8 people inside. Some are seriously hurt and sue her. Others have minor injuries. Three passengers in Mollie’s car are also hurt. The minivan’s driver (from part b) had medical bills totaling$60,000 from his hospital trip and physical therapy after the accident. What type of insurance covers this, and how much will the insurance company pay?

Which of the following are possible methods to prevent the tragedy of the commons? I. Private ownership of land, II. Government regulation of public land, III. Self-regulation by communities and stakeholders. (a) I only, (b) II only, (c) III only, (d) II and III, (e) I, II, and III.

Contact one of the public utilities in your area. Find out what the rates are for the utility service. Also, find out the last time the rates were changed and calculate the percent decrease or increase.

To calculate percent increase or decrease, find the difference between the two costs and divide by the original cost.

For each function f(x) given, prove (using a composition) that $g(x)=f^{-1}(x)$. $f(x)=3 x-4, g(x)=\frac{x+4}{3}$.

Show the output of the following code:

import java.util.*;
public class Test {
    public static void main(String[] args) {
        List < String > list =
            Arrays.asList("yellow", "red", "green", "blue");
        Collections.reverse(list);
        System.out.println(list);
        List < String > list1 =
            Arrays.asList("yellow", "red", "green", "blue");
        List < String > list2 = Arrays.asList("white", "black");
        Collections.copy(list1, list2);
        System.out.println(list1);
        Collection < String > c1 = Arrays.asList("red", "cyan");
        Collection < String > c2 = Arrays.asList("red", "blue");
        Collection < String > c3 = Arrays.asList("pink", "tan");
        System.out.println(Collections.disjoint(c1, c2));
        System.out.println(Collections.disjoint(c1, c3));
        Collection < String > collection =
            Arrays.asList("red", "cyan", "red");
        System.out.println(Collections.frequency(collection, "red"));
    }
}

Do you believe that an exceptionally high percentage of the executives of large corporations are right-handed? Although 85% of the general public is right-handed, a survey of 300 chief executive officers of large corporations found that 96% were right-handed. Find the p-value for the test and explain what it means.

Suppose that a survey of 350 college students is taken. Each student is asked about the type of college attended (public or private) and the family's income level (low, middle, high). Use the data in the table to solve. Express probabilities as simplified fractions. Find the probability that a randomly selected student in the survey

$$\begin{array}{|l|c|c|c|} \hline & \text { Public } & \text { Private } & \text { Total } \\ \hline \text { Low } & 120 & 20 & 140 \\ \hline \text { Middle } & 110 & 50 & 160 \\ \hline \text { High } & 22 & 28 & 50 \\ \hline \text { Total } & 252 & 98 & 350 \\ \hline \end{array}$$

attends a private college or is from a high-income family.

Use the composition of functions to determine whether $f$ and $g$ are inverse functions.

$$f(x)=\frac{x}{3}-2, g(x)=3 x+6$$

Suppose that Alice and Bob have these public keys and corresponding private keys:

$$(n_{Alice}, e_{Alice}) = (2867, 7) = (61 · 47, 7), d_{Alice} = 1183$$

and

$$(n_{Bob}, e_{Bob}) = (3127, 21) = (59 · 53, 21), d_{Bob} = 1149.$$

First express your answers without carrying out the calculations. Then, using a computational aid, if available, perform the calculation to get the numerical answers. Alice wants to send to Bob the message “BUY NOW” so that he knows that she sent it and so that only Bob can read it. What should she send to Bob, assuming she signs the message and then encrypts it using Bob’s public key?

Write the following method that displays the bit representation for the last byte in an integer: public static String getBits(int value) For a hint, see Programming Exercise 5.44. Write a program that prompts the user to enter a file name, reads bytes from the file, and displays each byte’s binary representation.

Explain why it would not be suitable to use p, where p is a large prime, as the modulus for encryption in the RSA cryptosystem. That is, explain how someone could, without excessive computation, find a private key from the corresponding public key if the modulus were a large prime, rather than the product of two large primes.