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An article in the Tappi Journal (March 1986) presented

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger ISBN: 9781118539712 55

Solution for problem 9E Chapter 11.2

Applied Statistics and Probability for Engineers | 6th Edition

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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

Applied Statistics and Probability for Engineers | 6th Edition

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Problem 9E

Problem 9E

An article in the Tappi Journal (March 1986) presented data on green liquor Na2S concentration (in grams per liter) and paper machine production (in tons per day). The data (read from a graph) follow:

(a) Fit a simple linear regression model with y = green liquor Na2S concentration and x = production. Find an estimate of σ2. Draw a scatter diagram of the data and the resulting least squares fitted model.

(b) Find the fitted value of y corresponding to x = 910 and the associated residual.

(c) Find the mean green liquor Na2S concentration when the production rate is 950 tons per day.

Step-by-Step Solution:
Step 1 of 3

Intro to Theatre Italian Renaissance  Renaissance= rebirth of civilization  Explosion of art, culture, and travel centered in Italy after the Fall of Constantinople 1453  Reintroduction and gained interest in the classical world of Greece and Rome  Education suddenly became important to higher classes  Art is getting realistic and mathematical Why Italy  Major trade route from Asia/Africa to Europe o Lots of culture and people traveling through  They had a lot of trade and so a lot of wealth and so a lot of leisure time  Power transfers from Constantinople to Italy o Merchants run from Constantinople smuggling are and plays with them to sell on black market where rich people buy them  Everybody wants to out do their neighbor with money Mannerism  1520-1600 Mannerism  Tries to make form look natural and real  Uses science and math to make life-like visual representation  In theatre, displayed by Neoclassic ideals  Shows chaos of life to show pure form Neoclassicism  New classic  Gets ideas from old Greek and Roman classics  1570  Council of Trent puts more focus on Aristotle’s Poetics rather than the Roman Horace’s Art of Poetry  Drama has only two forms: comedy and tragedy  Stressed not polluting purity of each form by mixing  Had to submit plays to people who licensed plays  Had to follow rules and if they didn’t, they were given back with notes and had to correct it  Tragedy o Came from Greeks o Characters: ruling class o Stories: history or mythology o Ending: sad  Comedy o Came from Romans o Characters: middle or lower classes o Stories: domestic and private affairs o Ending: happy  5 act play structure o Came from Romans  Function was to teach and please o Came from Greeks o Comedy teaches by ridiculing behavior that should be avoided o Tragedy teaches by showing the horrifying results if mistakes and misdeeds  Strive for verisimilitude- the appearance of truth How to achieve verisimilitude  Based on reality o No fantasy or supernatural events o Soliloquies (actor talking to audience) is not realistic o Actor talks to confidant who replaces the audience o Neoclassical unities  Unity of time  Perform in realistic time frame (24 hours)  Unity of place  One location (1 street or 1 room)  Realistic travel  Unity of action  One story that is told  No subplot or useless characters  Morality o Drama teaches moral lessons o Don’t copy life but reveal moral pattern  Good actions= good effects  Bad actions= bad effects  Universality o All aspects of the play are universal in audience appeal and observation o The meaning is the same no matter time, ethnicity or place o Cartoons do a great job of this o Teaches permanent aspects of human condition Festival  Theatre is in festival atmosphere o Special occasions o Sponsored by merchants and rich people  Would have common theme that everything revolves around  Trionfi o Roman triumphal entries (shows off) o Pageant wagons o Costumes of mythological creatures o Parade led to festival grounds Intermezzi  Type of performance from Rome  Start of operas  Roman material performed at court during official events contained heavy material  Between acts, small numbers were performed o Wow the audience with effects o Lightens mood o Where intermission comes from  Allegorical plots to pay compliments to those being honored (payed for event)  Eventually became more popular than regular drama because of spectacle included  Opera o Developed in attempt to use intermezzi techniques to recreate Greek tragedy o Sung all dialogues o Not subtle Commedia Dell’Arte  Most drama was for the upper class  Commedia Dell’Arte was made for the common class  Basics o Almost everything was improv  Performers work from an outline of a basic story o Stock characters  Character stereotypes with identifiable costumes and traits  Story outlines include lazzi o Comic gags (physical comedy) o Keep up the pace o Running around balcony o Unspilled wine o Slapping Commedia Characters  Unmasked o Young lovers  Innamorato  Dashing young male lover  Opposed in his love by an older man  Inamorata  Young female lover  Sought by both young and older  Masked o Masters  Capitano  Cocky guy who deep down is a big coward  Boasted to be a great lover  Unwelcome suitor to the young woman  Pantalone  Middle-aged or elderly merchant  Posed as a young man and went after the inamorata  Dottore  Pantalone’s friend or rival  Doctor, lawyer, politicians  Show off, cocky about his learning and education o Servants  Zanni  Usually come in pairs: one stupid and one cunning  Keeps the plots moving forward as they try to help/hurt their masters  Harlequin o Most popular of the zany o At the center of the story most of the time o Acrobat and dancer o Cunning and stupid all rolled into one

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Chapter 11.2, Problem 9E is Solved
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Textbook: Applied Statistics and Probability for Engineers
Edition: 6
Author: Douglas C. Montgomery, George C. Runger
ISBN: 9781118539712

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An article in the Tappi Journal (March 1986) presented