Introductory Statistics
Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 9, Problem 93H

“William Shakespeare: The Tragedy of Hamlet. Prince of Denmark,” by Jacqueline Ghodsi THE CHARACTERS (in order of appearance):

• HAMLET, Prince of Denmark and student of Statistics

• POLONIUS, Hamlet’s tutor

• HOROTIO, friend to Hamlet and fellow student

Scene: The great library of the castle. In which Hamlet does his lessons

Act I

(The day is fair, but the face of Hamlet is clouded. He paces the large room. His tutor, Polonius, is teprimanding Hamlet regarding the latter’s recent experience. Horatio Is seated at the large table at right stage.)

POLONIUS: M Lord, how cans’t thou admit that thou hast seen a ghost! It Is but a figment of your imagination!

HAMLET: I beg to differ; I know of a certain! that five-and-seventy in one hundred of us, condemned to the whips and scorns of time as we are, have gazed upon a spirit of health, or goblin damn’d, be their Interns wicked or charitable.

POLONIUS If thou doest Insist upon thy wretched vision then let me invest your time; be true to thy work and speak to me through the reason of the null and alternate hypotheses. (He turns to Horatio.) Did no Hamlet himself say. “What piece of work is man, how noble In reason, how Infinite in faculties? Then let no this foolishness persist. Go. Horatio, make a survey of three-and-sixty and discover what the true proportion be. For my part. I will never succumb to this fantasy, but deem man to be devoid of all reason should thy proposal of at least five-and-seventy In one hunched hold true.

HORATIO (to Hamlet): What should we do. my Lord?

HAMLET: Go to thy purpose. Horatio.

HORATIO: To what end, my Lord?

HAMLET: That you must teach me. But let me conjure you by the rights of our fellowship, by the consonance of our youth. but the obligation of our ever-preserved love, be even and direct with me, whether I am right or no.

(Horatio exits, followed by Polonius, leaving Hamlet to ponder alone.)

Act II

(The next day. Hamlet awaits anxiously the presence of his friend, Horatio. Polonius enters and places some books upon the table just a moment before Horatio enters.)

POLONIUS: So. Horatio. what Is it thou dldst reveal through thy deliberations?

HORATIO: In a random survey, for which purpose thou thyself sent me forth. I did discover that one-and-forty believe fervently that the spirits of the dead walk with us. Before my God, I might not this believe, without the sensible and true avouch of mine own eyes.

POLONIUS: Give thine own thoughts no tongue. Horatio. (Polonlus turns to Hamlet.) But look to’t I charge you, my Lord. Come Horatio, let us go together, for this Is not our test. (Horatio and Polonius leave together.)

HAMLET: To reject, or not reject, that Is the question: whether tIs nobler In the mind to suffer the slings and anows of outrageous statistics, or to take aims against a sea of data, and, by opposing, end them. (Hamlet resignedly attends to his task.)

(Curtain fal1s

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Chapter 9 Solutions

Introductory Statistics

Ch. 9 - H0:=10, H0:< 10 Assume the p-value is 0.0935. What...Ch. 9 - H0:1,Ha:1 Assume the p-value is 0.1243. What type...Ch. 9 - H0:p=0.5,Ha:p0.5 Assume the p-value is 0.2564....Ch. 9 - The mean throwing distance of a football for...Ch. 9 - It is believed that a stock price for a particular...Ch. 9 - A teacher believes that 85% of students in the...Ch. 9 - Marketers believe that 92% of adults In the United...Ch. 9 - You are testing that the mean speed of your cable...Ch. 9 - You ate testing that the mean speed of your cable...Ch. 9 - The American family has an average of two...Ch. 9 - The mean entry level salary of an employee at a...Ch. 9 - A sociologist claims the probability that a person...Ch. 9 - A sociologist claims the probability that a person...Ch. 9 - In a population of fish approximately 42% are...Ch. 9 - Suppose that a recent article stated that the mean...Ch. 9 - A random survey of 75 death row Inmates revealed...Ch. 9 - The National Institute of Mental Health published...Ch. 9 - The mean price of mid-sized cars In a region is...Ch. 9 - A sleeping bag Is rested to withstand temperatures...Ch. 9 - For Exercise 9.12, what are and in words?Ch. 9 - In words, describe 1— 3For Exercise 9.12.Ch. 9 - A group of doctors is deciding whether or not to...Ch. 9 - A group of doctors is deciding whether or not to...Ch. 9 - The power of a test is 0.981. What is the...Ch. 9 - A group of divers is exploring an old sunken ship....Ch. 9 - A microbiologist is testing a water sample for...Ch. 9 - A microbiologist is testing a water sample for...Ch. 9 - Which two distributions can you use for hypothesis...Ch. 9 - Which distribution do you use when you are testing...Ch. 9 - Which distribution do you use when the standard...Ch. 9 - A population mean Is 13. The sample mean is 12.8....Ch. 9 - A population has a mean is 25 and a standard...Ch. 9 - It Is thought that .12% of respondents in a taste...Ch. 9 - You ate performing a hypothesis test of a single...Ch. 9 - You are performing a hypothesis test of a single...Ch. 9 - You are performing a hypothesis test of a single...Ch. 9 - You are performing a hypothesis test of a single...Ch. 9 - You are peform1ng a hypothesis test of a single...Ch. 9 - When do you reject the null hypothesis?Ch. 9 - The probability of winning the grand prize at a...Ch. 9 - The probability of winning the grand prize at a...Ch. 9 - It is believed that the mean height of high school...Ch. 9 - The mean age of graduate students at a University...Ch. 9 - Does the shaded region represent a low or a high...Ch. 9 - What should you do when a >p-value?Ch. 9 - What should you do if a = p-value?Ch. 9 - If you do not reject the null hypothesis, then it...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - A random survey of 75 death row inmates revealed...Ch. 9 - Assume H0: = 9 and H0:< 9. Is this a left-tailed,...Ch. 9 - Assume H0:6 and H0: > 6. Is this a left-tailed,...Ch. 9 - Assume H0: p = 0.25 and Ha: p 0.25. Is this a...Ch. 9 - Draw the general graph of a left-tailed test.Ch. 9 - Draw the graph of a two-tailed test.Ch. 9 - A bottle of water Is labeled as containing 16...Ch. 9 - Your friend claims that his mean golf score Is 63....Ch. 9 - A bathroom scale claims to be able to dentify...Ch. 9 - You flip a coin and record whether it shows heads...Ch. 9 - If the alternative hypothesis has a not equals ( )...Ch. 9 - Assume the null hypothesis states that the mean is...Ch. 9 - Assume the null hypothesis states that the mean is...Ch. 9 - Assume the null hypothesis states that the mean Is...Ch. 9 - Some of the following statements refer to the null...Ch. 9 - Over the past few decades, public health officials...Ch. 9 - A statistics instructor believes that fewer than...Ch. 9 - Previously, an organization reported that...Ch. 9 - State the Type I and Type II errors in complete...Ch. 9 - For statements a-j in Exercise 9.109. answer the...Ch. 9 - When a new drug is created. the pharmaceutical...Ch. 9 - A statistics instructor believes that fewer than...Ch. 9 - It Is believed that Lake Tahoe Community College...Ch. 9 - Previously, an organization reported that...Ch. 9 - It Is believed that Lake Tahoe Community College...Ch. 9 - The National Institute of Mental Health published...Ch. 9 - A particular brand of tires claims that its deluxe...Ch. 9 - From generation to generation, the mean age when...Ch. 9 - The cost of a daily newspaper varies from city to...Ch. 9 - An article in the San Jose Mercury News stated...Ch. 9 - The mean number of sick days an employee takes per...Ch. 9 - In 1955, Life Magazine reported that the 25...Ch. 9 - Your sta1stIcs Instructor claims that 60 percent...Ch. 9 - A Nissan Motor Corporation advertisement read, The...Ch. 9 - Refer to Exercise 9.19. Conduct a hypothesis test...Ch. 9 - According to an article in Newsweek, the natural...Ch. 9 - A poll done for Newsweek found that 13% of...Ch. 9 - The mean work week for engineers In a start-up...Ch. 9 - Use the Lap time data for Lap .1 (see Appendix C)...Ch. 9 - Use the initial Public Offering’ data (see...Ch. 9 - “Asian Family Reunion,” by Chau Nguyen Every two...Ch. 9 - ‘The Problem with Angels,” by Cyndy Dowling...Ch. 9 - “Blowing Bubbles,” by Sondra Prull Studying stats...Ch. 9 - “Dalmatian Darnation,” by Kathy Sparling A greedy...Ch. 9 - ‘MacaronI and Cheese, please! I” by Nedda...Ch. 9 - “William Shakespeare: The Tragedy of Hamlet....Ch. 9 - “Untitled.” by Stephen Chen lye often wondered how...Ch. 9 - Japanese Glrls Names’ by Kumi Furnichi It used to...Ch. 9 - ‘Phillip’s Wish,” by Suzanne Osorlo My nephew...Ch. 9 - “The Craven,” by Mark Salangsang Once upon a...Ch. 9 - Toastmasters Inteniational cites a repol by Gallop...Ch. 9 - Sixty-eight percent of online courses taught at...Ch. 9 - According to an article In Bloomberg Businessweek,...Ch. 9 - The mean age of De Anza College students in a...Ch. 9 - Registered nurses earned an average annual salary...Ch. 9 - La Leche League International reports that the...Ch. 9 - Over the past few decades, public health officials...Ch. 9 - A statistics instnictor believes that fewer than...Ch. 9 - Previously, an organization reported that...Ch. 9 - According to the Centet for Disease Control...Ch. 9 - A recent survey In the N.Y. limes Almanac...Ch. 9 - Driver error can be listed as the cause of...Ch. 9 - The US Department of Energy reported that 51.7% of...Ch. 9 - For Americans using library services, the American...Ch. 9 - The Weather Underground reported that the mean...Ch. 9 - A survey in the N.Y. limes Almanac finds the mean...Ch. 9 - A report by the Gallup Poll found that a woman...Ch. 9 - According to the N.Y Times Almanac the mean family...Ch. 9 - The student academic group on a college campus...
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