MATH 117
Bennett
Homework 3
30 points
Due August1, 2016
You may work alone or in pairs.
James Madison (1751-1836), who became the fourth president of the United States, wrote
the first ten amendments the U.S. Constitution, which is known as the Bill of Rights.
They went into effect on December 15, 1791.
1. Number each word of the Bill of Rights.
2. Find the mean number of letters in the words of the entire document.
3. Use your calculator or a random number table to select 40 words from the Bill of
Rights.
4. Find the mean number of letters in those 40 words.
5. Repeat #4 and #5 until you have 150 samples.
6. Make a dot plot or histogram of the means for each sample. This is the sampling
distribution of the means.
7. Write one or two paragraphs to address the following:
a. What is the shape of your graph?
b. What is the mean of the sampling distribution?
c. What is the standard deviation of the sampling distribution?
d. How is this related to the Central Limit Theorem?
Grading Rubric
Bill of Rights with words numbered
________(2)
Mean length of all words
________(2)
Show 150 samples
________(10)
Dot plot or histogram
________(2)
Paragraphs
________(14)
Hint: to get the random numbers from the TI 83/84 and put them in List 1
Math/Prob/RandInt(1, 461, 10)/sto L1
THE BILL OF RIGHTS – FULL TEXT
Amendment I
Congress shall make no law respecting an establishment of religion, or prohibiting the free
exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people
peaceably to assemble, and to petition the government for a redress of grievances.
Amendment II
A well regulated militia, being necessary to the security of a free state, the right of the people to
keep and bear arms, shall not be infringed.
Amendment III
No soldier shall, in time of peace be quartered in any house, without the consent of the owner,
nor in time of war, but in a manner to be prescribed by law.
Amendment IV
The right of the people to be secure in their persons, houses, papers, and effects, against
unreasonable searches and seizures, shall not be violated, and no warrants shall issue, but upon
probable cause, supported by oath or affirmation, and particularly describing the place to be
searched, and the persons or things to be seized.
Amendment V
No person shall be held to answer for a capital, or otherwise infamous crime, unless on a
presentment or indictment of a grand jury, except in cases arising in the land or naval forces, or in
the militia, when in actual service in time of war or public danger; nor shall any person be subject
for the same offense to be twice put in jeopardy of life or limb; nor shall be compelled in any
criminal case to be a witness against himself, nor be deprived of life, liberty, or property, without
due process of law; nor shall private property be taken for public use, without just compensation.
Amendment VI
In all criminal prosecutions, the accused shall enjoy the right to a speedy and public trial, by an
impartial jury of the state and district wherein the crime shall have been committed, which district
shall have been previously ascertained by law, and to be informed of the nature and cause of the
accusation; to be confronted with the witnesses against him; to have compulsory process for
obtaining witnesses in his favor, and to have the assistance of counsel for his defense.
Amendment VII
In suits at common law, where the value in controversy shall exceed twenty dollars, the right of
trial by jury shall be preserved, and no fact tried by a jury, shall be otherwise reexamined in any
court of the United States, than according to the rules of the common law.
Amendment VIII
Excessive bail shall not be required, nor excessive fines imposed, nor cruel and unusual
punishments inflicted.
Amendment IX
The enumeration in the Constitution, of certain rights, shall not be construed to deny or disparage
others retained by the people.
Amendment X
The powers not delegated to the United States by the Constitution, nor prohibited by it to the
states, are reserved to the states respectively, or to the people.
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