Given that a sample is approximately normal with a mean of 25 and a standard deviation of 2, the approximate percentage of observation that falls between 19 and 31 is:

                     i.   67%

                     ii. 75%

                     iii. 95%

                     iv. 99.7%

                     v. can’t be determined with the information given

e.    The Law of Large Numbers implies the following:

               i. To calculate a probability an experiment needs to be theoretically                                                              

                           repeated

                     ii.   Probabilities can be calculated on sampling distributions

                     iii. The Law does not apply to subjective probabilities

                     iv. All of the above

                     v.   None of the above

1) Is the following study design an anecdote, experiment, or observational study?

You'd like to investigate if what color shirt fans wear to a game help the Le Moyne Women's Soccer team score goals? You attend every home game. You write down how many fans attended the game, what color shirt they wore, and how many goals the soccer team scored.

2) Among the 268 words in the Gettysburg Address, 99 contain at least 5 letters. Is 99/268 = .369 a statistic, a parameter, or neither?

3) If you calculate the average number of hours that students in your class slept last night, describe (in words) the corresponding parameter of interest.

The parameter of interest is the average number of hours that  students slept last night.

4) If the mean of a distribution is 75 and the standard deviation is 9, how many standard deviations above the mean is 120?

5) A 1999 Gallup survey of a random sample of 1005 adult Americans found that 69% planned to give out Halloween treats from the door of their home. Does this finding necessarily prove that 69% of all adult Americans planned to give out treats? (yes/no)

6) I have a 3/5 = .60 probability of winning a game of solitaire.

How many games do I have to play before I can use the CLT to reasonably approximate the sampling distribution of the sample proportion of wins?

7) Suppose author A and Author B are doing studies on the same variable. Author A collects a sample of size 50 and Author B collects a sample of size 200. It turns out they both happen to get identical sample statistics. They then both construct 95% confidence intervals. Who has the smaller confidence interval? (A/B)

8) As sample size increases, the standard deviation (increases/decreases/stays the same)

Use the Laplace transform to solve the following initial value problem:

?″+6?′+58?=?(?−4)

?(0)=0,?′(0)=0

(Notation: write u(t-c) for the Heaviside step function ??(?)uc(t) with step at ?=?t=c.)

Compare the measured values of tension to the calculated values of tension. What are the possible physical experiment uncertainties for the differences between the measured and calculated?

Measured= .075N

Caculated= .079N

Velocity v = .433m/s

Mass of Cylinder m = .1118kg

Radius of Pendulum r = .265

T=mv2/r

Explain the concept of age cohort. How does value based conflicts between these cohorts affect the development of marketing strategies?

Java iteration method, I need a method which iterates through a collection of books and adjusts the price of all books published between the given parameters to give a 20% discount off the price of each book published between the given years?

Book class

public class Book
{

    private String title;
    private String author;
    private int yearPublished;
    private double bookPriceInCAD;


    public Book(String inputTitle, String inputAuthor, int inputYearPublished, double inputBookPriceInCAD){
     setTitle(inputTitle);
     setAuthor(inputAuthor);
     setYearPublished(inputYearPublished);
     setBookPriceInCAD(inputBookPriceInCAD);
    }

    public String getTitle(){
        return title;
    }

    public String getAuthor(){
        return author;
    }

    public int getYearPublished(){
        return yearPublished;
    }

    public double getBookPriceInCAD(){
        return bookPriceInCAD;
    }

    public void setTitle(String title){
        if(title !=null && !title.isEmpty()){
            this.title = title;
        } else if(title == null){
            throw new IllegalArgumentException("title cannot be null");
        } else if(title.isEmpty()){
            throw new IllegalArgumentException("title cannot be an empty String");
        }
     }

     public void setAuthor(String author){
        if(author !=null && !author.isEmpty()){
            this.author = author;
        } else if(author == null){
            throw new IllegalArgumentException("author cannot be null");
        } else if(author.isEmpty()){
            throw new IllegalArgumentException("author cannot be an empty String");
        }
    }

    public void setYearPublished(int yearPublished){
        if(yearPublished > 0){
            this.yearPublished = yearPublished;
        } else {
            throw new IllegalArgumentException("year published cannot be negative");
        }
      }

    public void setBookPriceInCAD(double bookPriceInCAD){
        if(bookPriceInCAD > 0){
            this.bookPriceInCAD = bookPriceInCAD;
        } else {
            throw new IllegalArgumentException("book price in CAD cannot be negative");
        }
    }

BookStore Class

import java.util.ArrayList;
import java.util.Iterator;
public class BookStore
{
  

    private ArrayList<Book> bookList;
    private String businessName;
  

    public BookStore()
    {
        // initialise instance variables
        bookList = new ArrayList<Book>();
        businessName = "Book Store";
      
    }

    public BookStore(String inputBusinessName){
        setBusinessName(inputBusinessName);
        bookList = new ArrayList<Book>();
     }


    public void setBusinessName(String businessName){
        if(businessName !=null && !businessName.isEmpty()){
            this.businessName = businessName;
        } else if(businessName == null){
            throw new IllegalArgumentException("business Name cannot be null");
        } else if(businessName.isEmpty()){
            throw new IllegalArgumentException("business Name cannot be an empty String");
        }
     }

    public String getBusinessName(){
        return businessName;
    }

    public ArrayList<Book> getBookList(){
        return bookList;
    }

    public void addBook(Book book){
      if(book!=null){
          bookList.add(book);
    }
    }

    public void getBook(int index) {
    if((index >= 0) && (index <= bookList.size())) {
        Book oneBook = bookList.get(index);              
        oneBook.displayDetails();
    }
    else{
        System.out.println("Invalid index position");
    }
    }

    public void searchBook(String title){
        for(Book b: bookList){
         String bookTitle = b.getTitle();
        if(bookTitle.equalsIgnoreCase(title)){
            b.displayDetails();
        } else{
            System.out.println("book not found");
    }
    }
    }

    public void displayBookDetails(){
        for(Book oneBook: bookList){
            oneBook.displayDetails();
          
      }
    }
  

    public static void main(String[] args){
        BookStore list = new BookStore();
        Book b1 = new Book("hello world","steven segal",2005,20.00);
        Book b2 = new Book("goodbye world","Jeff country", 208,10.00);
        Book b3 = new Book("no world","Bill Nye",202,30.00);
        list.addBook(b1);
        list.addBook(b2);
        list.addBook(b3);
        list.getBook(4);
        list.getBook(2);

        list.displayBookDetails();
    }
  
       public int donateBook(int yearPublished){
        Iterator<Book> iter = bookList.iterator();
        int count = 0;
        while(iter.hasNext()){
            Book aBook = iter.next();
          
            if(yearPublished <= aBook.getYearPublished()){
                iter.remove();
                count++;
            }
        }
        return count;
    }
    public void applyDiscountToBook(int beginYear, int endYear){
    }
   

7. Is there a difference between value in use and value in exchange?  How does the distinction between Total Utility and Marginal Utility help one answer this question?  Might the Diamond-Water Paradox provide a helpful illustration?

8. Assume you are an economist charged with advising Santa Claus and Santa, concerned about consumer satisfaction, tells you that he wants you to find an efficient way for people to end up with gifts that better conform with their wishes. In advising Santa, what would you tell him?  Explain.

9. Ordinal Utility (Indifference Curves & Budget Constraint Lines) has been said to have an inherent advantage over Cardinal Utility (which includes units of satisfaction) when it comes to application.  Is there an inherent advantage and, if so, what is it?  Explain.

a) Describe in brief one experimental evidence by giving the name of the experiment and

the phenomenon it exhibited, that shows light has: [3]

(i) wave property.

(ii) particle property.

b) The Einstein’s equation for the photoelectric effect is,

hf = KEmax + W0

where W0 is the work function of the metal.

(i) By referring to the terms involved in the equation, explain the physical process this

equation represents. [3]

When the surface of a metal is illuminated with monochromatic light, photoelectrons are

emitted. How will the number of photoelectrons emitted and the maximum speed of the

photoelectrons are affected when: [4]

(ii) the light intensity is increased but its frequency remains constant? Explain.

(iii) the light frequency is increased but the intensity remains constant? Explain.