Write a class that contains the following two methods:

/** Convert from feet to meters */
public static double footToMeter(double foot)

/** Convert from meters to feet */
public static double meterToFoot(double meter)

The formula for the conversion is:

$$meter = 0.305 * foot$$

$$foot = 3.279 * meter$$

Write a test program that invokes these methods to display the following tables:

Feet        Meters     |   Meters       Feet
 1.0         0.305     |   20.0         65.574
 2.0         0.610     |   25.0         81.967
...
 9.0         2.745     |   60.0        196.721
10.0         3.050     |   65.0        213.115

A researcher claims that students in a private school have exam scores that are at most 8 points higher than those of students in public schools. Random samples of 60 students from each type of school are selected and given an exam. The results are shown. At $\alpha=0.05$, test the claim.

$$\begin{array}{cc} \text { Private school } & \text { Public school } \\ \hline \bar{X}_1=110 & \bar{X}_2=104 \\ \sigma_1=15 & \sigma_2=15 \\ n_1=60 & n_2=60 \end{array}$$

Refer to the Environmental Science & Technology (Jan. 2005) investigation of MTBE contamination in 70 New Hampshire groundwater wells. The researchers also wanted an estimate of the correlation between the MTBE level of a groundwater well and the depth (in feet) of a well. Because MTBE level is not normally distributed, they employed Spearman's rank correlation method. Also, because earlier analyses indicated that public and private wells have different MTBE distributions, the rank correlation was computed separately for each well class. Toe SPSS printout of the analysis is shown below. Interpret the results practically. Correlations.

$$\begin{matrix} \text{CLASS} & \text{ } & \text{ } & \text{ } & \text{MTBE} & \text{DEPTH}\\ \text{Private} & \text{Spearmans rho} & \text{MTBE} & \text{Correlation coefficient} & \text{1.000} & \text{-.410}\\ \text{Private} & \text{Spearmans rho} & \text{MTBE} & \text{Slg. (2-tailed)} & \text{.} & \text{.103}\\ \text{Private} & \text{Spearmans rho} & \text{MTBE} & \text{N} & \text{22} & \text{17}\\ \text{Private} & \text{Spearmans rho} & \text{DEPTH} & \text{Correlation coefficient} & \text{-.410} & \text{1.000}\\ \text{Private} & \text{Spearmans rho} & \text{DEPTH} & \text{Slg. (2-tailed)} & \text{.103} & \text{.}\\ \text{Private} & \text{Spearmans rho} & \text{DEPTH} & \text{N} & \text{17} & \text{17}\\ \text{Public} & \text{Spearmans rho} & \text{MTBE} & \text{Correlation coefficient} & \text{1.000} & \text{.444**}\\ \text{Public} & \text{Spearmans rho} & \text{MTBE} & \text{Slg. (2-tailed)} & \text{.} & \text{.002}\\ \text{Public} & \text{Spearmans rho} & \text{MTBE} & \text{N} & \text{48} & \text{46}\\ \text{Public} & \text{Spearmans rho} & \text{DEPTH} & \text{Correlation coefficient} & \text{.444**} & \text{1.000}\\ \text{Public} & \text{Spearmans rho} & \text{DEPTH} & \text{Slg. (2-tailed)} & \text{.002} & \text{.}\\ \text{Public} & \text{Spearmans rho} & \text{DEPTH} & \text{N} & \text{46} & \text{46}\\ \end{matrix}$$

** Correlation is significant at the 0.01 level (2-tailed).

Suppose that a survey of $350$ college students is taken. Each student is asked 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 this exercise. Express probabilities as simplified fractions.

Find the probability that a randomly selected student in the survey

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

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.

A model for the data is given by

$$z=-1.3520 x^2-0.0025 y^2+56.080 x+1.537 y-562.23.$$

Find $\frac{\partial^2 z}{\partial x^2}$ and $\frac{\partial^2 z}{\partial y^2}$.

In writing about the increased popularity of national parks in the United States, such as Yosemite, Yellowstone, and the Grand Canyon, environmental economist Margaret Walls wrote: When one person’s visit to a park doesn’t appreciably diminish the experience for others, the fee to use the park should be zero. That doesn’t apply when the public good starts to experience congestion problems. the Park Service should. [charge] a significantly higher fee at the most popular parks during the summer months. Are Yosemite and other national parks public goods? Briefly explain.

Public Opinion Should sports teams hold tryouts so that only the best are chosen or should the coaches let anyone play? Should the choir make people audition? In other words, where should schools draw the line between recognizing excellence and achieving equality? With your classmates, conduct a survey of public opinion about no-cut policies for school teams or clubs. Prepare a questionnaire and then interview other students in your school. Discuss your findings. What can you infer from the results?

How did Southwest Asia change as a result of nationalism?

How did the Crusades affect Europe and Southwest Asia?

How did Southwest Asia change as a result of nationalism?

Prepare a questionnaire that can be used to interview a health specialist who works with lung cancer patients. Include questions on reasons for choosing the career, new methods of treatment, and the most encouraging or discouraging part of the job.

What is the Big Oh of method2? Is there a best case and a worst case?

public static void method2(int[] array, int n)
{
    for (int index = 1; index <= n - 1; index++)
        privateMethod2(array[index], array, 0, index - 1);
} // end method2
public static void privateMethod2(int entry, int[] array, int begin, int end)
{
    int index;
    for (index = end; (index >= begin) && (entry < array[index]); index--)
        array[index + 1] = array[index];
    
    array[index + 1] = entry;
} // end privateMethod2

The prices for various sizes of Health Crunch cereal are given in the table at the right. Which size has the best cost per ounce?

A researcher claims that students in a private school have exam scores that are at most 8 points higher than those of students in public schools. Random samples of 60 students from each type of school are selected and given an exam. The results are shown. At $\alpha=0.05$, test the claim.

$$\begin{array}{cc} \text{Private school} & \text{Public school} \\ \hline \bar{X}_1=110 & \bar{X}_2=104 \\ \sigma_1=15 & \sigma_2=15\\ n_1=60 & n_2=60 \end{array}$$