AP Statistics

In 2007 the Mars Company claimed that Original Milk Chocolate M&M’s should contain 24% blue, 14% brown, 16% green, 20% orange, 13% red, and 14% yellow M&M’s

Red	Yellow	Blue	Brown	Green	Orange
?	?	?	?	?	?

Joe Chang is awesome lol jk

Red	Yellow	Blue	Brown	Green	Orange
6	3	6	0	4	2

Eugene Choi is NOT

Red	Yellow	Blue	Brown	Green	Orange
9	6	0	0	2	4

Dan Chu (Not Natalie Portman's husband Q.Q)

Red	Yellow	Blue	Brown	Green	Orange
4	3	7	1	1	5

Tomas Dabsys

Red	Yellow	Blue	Brown	Green	Orange
5	3	6	0	2	6

Nick De Cesare (Little Ceasar) *caesar

Red	Yellow	Blue	Brown	Green	Orange
5	4	5	1	3	4

Ryuta Eguchi durrrrrrrrrrrr

Red	Yellow	Blue	Brown	Green	Orange
7	1	2	0	7	6

Nick Ferraro

Red	Yellow	Blue	Brown	Green	Orange
10	3	2	1	4	2

Dan Gonnnnnnnnnnng

Red	Yellow	Blue	Brown	Green	Orange
12	3	4	0	2	1

Alex Hurtado (Can we just go another day or something?)

Red	Yellow	Blue	Brown	Green	Orange
?	?	?	?	?	?

Jonathan Wang Kim

Red	Yellow	Blue	Brown	Green	Orange
5	5	7	3	2	2

Ethan Liwanag

Red	Yellow	Blue	Brown	Green	Orange
6	2	5	0	6	2

Joe Love in this club

Red	Yellow	Blue	Brown	Green	Orange
9	1	6	0	4	2

Russell Mays (Lamblet)

Red	Yellow	Blue	Brown	Green	Orange
9	0	4	1	5	2

David Oh (AP is better)

Red	Yellow	Blue	Brown	Green	Orange
9	4	4	1	1	2

Greg Paksun

Red	Yellow	Blue	Brown	Green	Orange
5	2	5	0	4	5

Christian Romo

Red	Yellow	Blue	Brown	Green	Orange
2	5	5	1	9	0

<<<<<<<

Alex Sercel (Math-magician)

Red	Yellow	Blue	Brown	Green	Orange
8	2	1	3	3	5

Steve Shushnar (Professional Statistics Student)

Red	Yellow	Blue	Brown	Green	Orange
8	2	7	0	2	2

Armen Ter-Zakarian

Red	Yellow	Blue	Brown	Green	Orange
9	1	3	1	5	1

Eric Verso Supastar

Red	Yellow	Blue	Brown	Green	Orange
7	1	5	2	4	3

Ted Williams

Red	Yellow	Blue	Brown	Green	Orange
7	3	3	1	7	1

Some Java code to visualize your outcomes:

Sample.java


public class Sample 
{
	private int x;
	private int n;
	private String name;
	public Sample(String name, int x, int n){
		this.name=name;
		this.setX(x);
		this.setN(n);
	}
	public void setX(int x) {
		this.x = x;
	}
	public int getX() {
		return x;
	}
	public void setN(int n) {
		this.n = n;
	}
	public int getN() {
		return n;
	}
	public double lower(double z){
		return pHat()-z*Math.sqrt(pHat()*(1-pHat())/n);
	}
	public double upper(double z){
		return pHat()+z*Math.sqrt(pHat()*(1-pHat())/n);
	}
	public double pHat(){
		return (double)x/n;
	}
	public void setName(String name) {
		this.name = name;
	}
	public String getName() {
		return name;
	}
}

MMIntervals.java

import java.applet.Applet;
import java.awt.Color;
import java.awt.Graphics;
import java.util.ArrayList;


public class BlueMMIntervals extends Applet {
	ArrayList<Sample> observations;
	double z=1.64485363; //90% ci
	double p=.24; 
	public void init(){
		observations = new ArrayList<Sample>();
		observations.add(new Sample ("Joe",19,75));
		observations.add(new Sample ("Eugene",17,72));
		observations.add(new Sample ("Tomas",21,76));
		observations.add(new Sample ("Nick D",22,71));
		observations.add(new Sample ("Ryuta",25,65));
	}
	public void paint(Graphics g){
		int count=0;
		for (int i=0;i<observations.size();i++){
			Sample obs = observations.get(i);
			int left=(int)(1000*obs.lower(z));
			int right=(int)(1000*obs.upper(z));
			int y=50+i*20;
			g.drawLine(left,y,right,y);
			g.drawString(observations.get(i).getName(), left, y);
			if (p>obs.lower(z) && p< obs.upper(z))
				count++;
		}
		g.setColor(Color.RED);
		int expectedP=(int)Math.round(1000*p);
		g.drawLine(expectedP, 40, expectedP, 20*observations.size()+50);
		String message=count+" out of "+observations.size()+" intervals contain "+p;
		message+=" ("+Math.round(100.0*(double)count/observations.size())+"% of the observations)";
		g.setColor(Color.BLUE);
		g.drawString(message, 20, 20);
	}
}