histogram, Statistics homework help

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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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