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3 Pages

### hw4-0459

Course: STA 3024, Spring 2012
School: University of Florida
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Word Count: 710

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3024 Section STA 7459 Homework 4 Form B UFID: Name: This form is only for students whose UFID number begins with 0, 4, 5, or 9. Answer all problems neatly. If you turn in more than one piece of paper, they must be stapled. Work that isnt neat or stapled may lose points. You dont need to turn in this problem listing, but you do need to include your name, UF-ID number, and form code on your homework. 1. (a) What...

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3024 Section STA 7459 Homework 4 Form B UFID: Name: This form is only for students whose UFID number begins with 0, 4, 5, or 9. Answer all problems neatly. If you turn in more than one piece of paper, they must be stapled. Work that isnt neat or stapled may lose points. You dont need to turn in this problem listing, but you do need to include your name, UF-ID number, and form code on your homework. 1. (a) What are the hypotheses for Two-Way ANOVA? (b) Complete the following ANOVA table. This table is based on data with Factor A having 4 levels, Factor B having 5 levels, and 3 replications at each combination of factor levels. Source Factor A Factor B Interaction Error Total df 3 SS 239.94 291.16 MS 160.72 974.44 (c) Test for interaction eects and give an interpretation of this. (d) When is it appropriate to test for main eects? Is it appropriate to test for main eects with these data? (e) Irrespective of your answer above, test for the signicance of: i. Factor A (and interpret) ii. Factor B (and interpret) 2. For each of the following situations, identify if it is one/two/three-way ANOVA, if there is blocking, what any factors and levels are, and what the (quantitative) response is. (a) Delicious cookies depend on many factors; in this case, amounts of sugar, modied starch, and salt are being investigated. Suppose a baker wants to see if his customers have preferences among the dierent batches, assessed by a survey where people assign scores to the cookies. He plans on trying low, medium, and high amounts for each ingredient. (b) A manager wants to see if the ve machines a company owns ll helium balloons with dierent amounts of helium (in liters). (c) An instructor wants to know if students course grades depend on whether they took the prerequisite at university or community college and if they study more or less than 10 hours per week for the class. (d) A company is training new employees and wants to determine if three dierent training methods dier in eectiveness, assessed by an end-of-course exam. They have recently hired a large number of employees, so they group the employees by the length of time since they received their last degree for purposes of the study (each employee one receives training method, but three employees would make up one group). (e) A marketing rm wants to see if sales of their clients products dier in various communities. They randomly select communities from ve geographic regions (northeast, southeast, southwest, midwest, northwest) and three population sizes (under 200,000 people, between 200,000 and 1,000,000, and over 1,000,000 people). 1 3. The following is computer output from R conducting a Two-Way ANOVA test (unrelated to the above question). Analysis of Variance Table Response: Response Df Sum Sq Mean Sq F value Pr(>F) Base 1 6.510 6.5104 3.1881 0.09103 . Alcohol 2 5.396 2.6979 1.3212 0.29149 Base:Alcohol 2 22.566 11.2829 5.5252 0.01346 * Residuals 18 36.758 2.0421 --Signif. codes: 0 *** 0.001 ** 0.01 * 0.05 . 0.1 1 (a) What is being tested? (b) How many levels were there for: i. Base? ii. Alcohol? (c) Are there interaction eects? (d) Is it appropriate to test for main eects? If so, test to see if Factor A and Factor B are signicant. 2 4. When answering this question, please refer to the following data set: Name Group Ranks Group Ranks Group Ranks Group Ranks A 12 13 21 B 13.5 12.5 11.5 C 22 15 14 D 2 8 3 15.5 14.5 11 (a) In what situation would one wish to use the Kruskal-Wallis test? (b) What are the hypotheses for the Kruskal-Wallis test? (c) What is the approximate distribution of the KW test statistic and what are its degrees of freedom for these data? (d) Rank these data using the method we used in class (smallest is 1). (e) Calculate the value of the KW test statistic for these data. (f) Make a conclusion based on the value of KW you calculated and interpret it in terms of the data. (g) The following is computer output from R conducting a One-Way ANOVA test on the same data. Does this output support the conclusion you reached above? Should it? Analysis of Variance Table Response: Response Df Sum Sq Mean Sq F value Pr(>F) Group 3 208.95 69.649 3.8214 0.04249 * Residuals 11 200.49 18.226 --Signif. codes: 0 *** 0.001 ** 0.01 * 0.05 . 0.1 1 (h) If we rejected the null hypothesis, what would our next step in analyzing these data be? (You do not need to actually perform the step.) 3
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University of Florida - STA - 3024
STA 3024Section 7459Homework 4Form AUFID:Name:This form is only for students whose UFID number begins with 1, 2, 3, or 8.Answer all problems neatly. If you turn in more than one piece of paper, they must be stapled. Workthat isnt neat or stapled m
University of Florida - STA - 3024
STA 3024Section 7459Homework 4Form AUFID:Name:This form is only for students whose UFID number begins with 1, 2, 3, or 8.Answer all problems neatly. If you turn in more than one piece of paper, they must be stapled. Workthat isnt neat or stapled m
University of Florida - STA - 3024
STA 3024Section 7459Homework 7Form CUFID:Name:This form is only for students whose UFID number begins with 6 or 7.Answer all problems neatly. If you turn in more than one piece of paper, they must be stapled. Workthat isnt neat or stapled may lose
University of Florida - STA - 3024
STA 3024Section 7459Homework 7Form BUFID:Name:This form is only for students whose UFID number begins with 0, 4, 5, or 9.Answer all problems neatly. If you turn in more than one piece of paper, they must be stapled. Workthat isnt neat or stapled m
University of Florida - STA - 3024
STA 3024Section 7459Homework 7Form AUFID:Name:This form is only for students whose UFID number begins with 1, 2, 3, or 8.Answer all problems neatly. If you turn in more than one piece of paper, they must be stapled. Workthat isnt neat or stapled m
University of Florida - STA - 3024
STA 3024Section 7454/7459Homework 1 for RegressionForm CUFID:Name:This form is only for students whose UFID number begins with 6 or 7.Answer all problems neatly. If you turn in more than one piece of paper, they must be stapled. Workthat isnt neat
University of Florida - STA - 3024
STA 3024Section 7454/7459Homework 1 for RegressionForm BUFID:Name:This form is only for students whose UFID number begins with 0, 4, 5, or 9.Answer all problems neatly. If you turn in more than one piece of paper, they must be stapled. Workthat is
University of Florida - STA - 3024
STA 3024Section 7454/7459Homework 1 for RegressionForm AUFID:Name:This form is only for students whose UFID number begins with 1, 2, 3, or 8.Answer all problems neatly. If you turn in more than one piece of paper, they must be stapled. Workthat is
University of Florida - MAT - 4930
CodesJonathan L.F. KingUniversity of Florida, Gainesville FL 32611-2082, USAsquash@ufl.eduWebpage http:/www.math.u.edu/squash/26 April, 2011 (at 17:16 )(Folks, help me proofread and correct this.)Dene the Kleene star operator byLFormal languages
University of Florida - MAT - 4930
AN INTRODUCTION TO MATHEMATICAL CRYPTOGRAPHYERRATA FOR THE FIRST EDITIONJEFFREY HOFFSTEIN, JILL PIPHER, JOSEPH H. SILVERMANAcknowledgementsWe would like to thank the following people who have sent us comments and corrections: Stefanos Aivazidis, Rober
University of Florida - MAT - 4930
NT-CryptographyMAT4930 7554Q1: Wedn. N := (100)=26 Jan165EFT says that 3Q6: Wedn. Bits23 Feb29Sep2010Quizzes Q20 31 40 30 61 0 7decode to20 bits.N. So (N )=.[3165 ]EFT) last two digits of 7are.. [0 . N ). Hence (by...via Ziv-Lemp
University of Florida - MAT - 4930
NT-CryptographyMAT4930 7554Class-WProf. JLF King23Feb2011W1: Show no work. Please write DNE in a blank if thedescribed object does not exist or if the indicated operationcannot be performed.W2: Essay question, OYOSOP:For a nite code C over alphab
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NT-CryptographyMAT4930 7554Prof. JLF King22Feb2011Home-WbThis take-home is due at the BoC of Wedn, 16Feb2011.Please write DNE in a blank if the described object does notexist or if the indicated operation cannot be performed. Fill-inall blanks on
University of Florida - MAT - 4930
NT-CryptographyMAT4930 7554Prof. JLF King23Mar2011X4: Show no work. Please write DNE in a blank if thedescribed object does not exist or if the indicated operationcannot be performed.aModulo 35, the multiplicative-order of 3 is. [Hint: (35) has v
University of Florida - MAT - 4930
NT-CryptographyMAT4930 7554Home-XProf. JLF King21Mar2011This take-home is due at the BoC of Mon, 21Mar2011.Please write DNE in a blank if the described object does notexist or if the indicated operation cannot be performed. Fill-inall blanks on th
University of Florida - MAT - 4930
NT-CryptographyMAT4930 7554Prof. JLF King6Apr2011Class-YY1: Show no work. Please write DNE in a blank if thedescribed object does not exist or if the indicated operationcannot be performed.zProf. King wears bifocals, and cannot read smallCircle
University of Florida - MAT - 4930
NT-CryptographyMAT4930 7554Project-ZProf. JLF King19Apr2011This optional nal-project is due by noon, Friday,22Apr2011, slid completely under my ofce door,LIT402. Fill-in every blank on this sheet. Please write.DNE in a blank if the described obje
University of Florida - MAC - 1147
MAC 1147 (031A) - Quiz #1Name:For full credit, you must show all work and circle your nal answer.1Perform the operation below. Leave fractional answers in reduced form. (2 points)452+21 7 32Simplify the expression below. Remove all negative expo
University of Florida - MAC - 1147
MAC 1147 (3034) - Quiz #1Name:Solution KeyFor full credit, you must show all work and circle your nal answer.1Perform the operation below. Leave fractional answers in reduced form. (2 points)427+15 3 5427425 73410 214 10 + 2115+=+=+
University of Florida - MAC - 1147
MAC 1147 (031A) - Quiz #2Name:Solution KeyFor full credit, you must show all work and circle your nal answer.1Multiply the two terms together. (2 points)3x +3x +163x 16163x = (3x)2 += 9x2 2163x 3x661621.36Write the expression
University of Florida - MAC - 1147
MAC 1147 (3032) - Quiz #2Name:Solution KeyFor full credit, you must show all work and circle your nal answer.1Multiply the two terms together. (2 points)1x351x3521x+351x+351111= x x3 x+3 x335555312 3= x x+ x9255512= x 9.
University of Florida - MAC - 1147
MAC 1147 (3034) - Quiz #2Name:Solution KeyFor full credit, you must show all work and circle your nal answer.1Multiply the two terms together. (2 points)(x + 2y ) (x 2y )(x + 2y ) (x 2y ) = x2 + 2xy 2xy (2y )2= x2 (2y )2= x2 4y 2 .2Write the ex
University of Florida - MAC - 1147
MAC 1147 (031A) - Quiz #3Name:For full credit, you must show all work and circle your nal answer.1Find f g and g f . (2 points)f (x) = |x 4|,2Find the inverse of f . State the domain and range of both f and f 1 . (3 points)f (x) =3g (x) = 3 x.6
University of Florida - MAC - 1147
MAC 1147 (3032) - Quiz #3Name:For full credit, you must show all work and circle your nal answer.1Find f g and g f . (2 points)f (x) =23x 5,Find the inverse of f . State the domain and range of both f and f 1 . (3 points)f (x) =3g (x) = x3 + 1
University of Florida - MAC - 1147
MAC 1147 (3034) - Quiz #3Name:For full credit, you must show all work and circle your nal answer.1Find f g and g f . (2 points)f (x) = |x|,2Find the inverse of f . State the domain and range of both f and f 1 . (3 points)f (x) =3g (x) = x + 6.x
University of Florida - MAC - 1147
MAC 1147 (031A) - Quiz #4Name:For full credit, you must show all work and circle your nal answer.1Use long division to divide. (2 points)(5x3 16 20x + x4 ) (x2 x 3)2Write the quotient in standard form. (3 points)24 5i3Use the given zero to nd a
University of Florida - MAC - 1147
MAC 1147 (3032) - Quiz #4Name:For full credit, you must show all work and circle your nal answer.1Use long division to divide. (2 points)(x3 9) (x2 + 1)2Write the quotient in standard form. (3 points)6 7i1 2i3Use the given zero to nd all zeros
University of Florida - MAC - 1147
MAC 1147 (3034) - Quiz #4Name:For full credit, you must show all work and circle your nal answer.1Use long division to divide. (2 points)(x5 + 7) (x3 1)2Write the quotient in standard form. (3 points)9 4ii3Use the given zero to nd all zeros of
University of Florida - MAC - 1147
MAC 1147 (031A) - Quiz #6Name:For full credit, you must show all work and circle your nal answer.1Find the domain, x-intercept, and vertical asymptote of the function. Sketch its graph. (3 points)f (x) = log6 (x + 3) 1.2Condense the expression to t
University of Florida - MAC - 1147
MAC 1147 (031A) - Quiz #6Name:Solution KeyFor full credit, you must show all work and circle your nal answer.1Find the domain, x-intercept, and vertical asymptote of the function. Sketch its graph. (3 points)f (x) = log6 (x + 3) 1.The domain of log
University of Florida - MAC - 1147
MAC 1147 (3032) - Quiz #6Name:For full credit, you must show all work and circle your nal answer.1Find the domain, x-intercept, and vertical asymptote of the function. Sketch its graph. (3 points)h(x) = log4 (x 3) + 1.2Condense the expression to th
University of Florida - MAC - 1147
MAC 1147 (3034) - Quiz #6Name:Solution KeyFor full credit, you must show all work and circle your nal answer.1Find the domain, x-intercept, and vertical asymptote of the function. Sketch its graph. (3 points)g (x) = log5 (x 1) + 4.The domain of log
University of Florida - MAC - 1147
MAC 1147 (031A) - Quiz #7Name:For full credit, you must show all work and circle your nal answer.1You are skiing down a mountain with a vertical height of 1000 feet. The distance from the top of the2000mountain to the base is feet (hint: this is the
University of Florida - MAC - 1147
MAC 1147 (3032) - Quiz #7Name:For full credit, you must show all work and circle your nal answer.1You are skiing down a mountain with a vertical height of 1500 feet. The distance from the top of themountain to the base is 3000 feet (hint: this is the
University of Florida - MAC - 1147
MAC 1147 (031A) - Quiz #8 (Last Quiz! )Name:For full credit, you must show all work and circle your nal answer.12Sketch the graph of the function. Include two full periods. (2 points)y = sec 2x +2(a) Find the exact value of the expression. [Hint:
University of Florida - MAC - 1147
MAC 1147 (3032) - Quiz #8 (Last Quiz! )Name:For full credit, you must show all work and circle your nal answer.1Sketch the graph of the function. Include two full periods. (2 points)y = 2 csc(x )2(a) Find the exact value of the expression. [Hint: S
University of Florida - MAD - 4401
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University of Florida - MAD - 4401
NameMAD 4401, Numerical AnalysisKeesling Mock Test 1 2/10/12Do all problems. Show your work and explain your answers. Each problem is worth 20points.1.Estimate the32sin( x 2 ) dx using the closed Newton-Cotes method with n = 8 .Give the to twelv
University of Florida - MAD - 4401
MAD 4401Quiz 11. Determine a polynomial of minimal degree that passes through the followingpoints.cfw_(1, 2), (2, 3), (3, 0), (4, 2), (7, 1)
University of Florida - MAD - 4401
MAD 4401Quiz 21. Suppose that p( x ) is a polynomial of degree at most n. Show that if p( xi ) = 0for distinct cfw_ x0 , x1 , xn , then p( x ) 0 .2. Suppose that cfw_ x0 , x1 , xn are distinct points and that p( x ) and q( x ) arepolynomials of deg
University of Florida - MAD - 4401
MAD 4401Quiz 31. Use the divided differences method to determine the coefficients for the Newtonpolynomial going throught the points cfw_(0,1), (2, 1), ( 3, 1 2 ), ( 3 4 , 2 ) .2. Determine the polynomial of degree three that satisfies the following c
University of Florida - MAD - 4401
MAD 4401Quiz 41. Newton-Cotes Integration is a method of approximating an integral by using theLagrange interpolating polynomial. The estimate ofbaf ( x ) dx is done bydividing [ a, b ] into n equal intervals and using the endpoints of these interv
University of Florida - MAD - 4401
MAD 4401Quiz 51. Determine the normalized Newton-Cotes coefficients cfw_a0 , a1 , a2 , a3 , a4 , a5 , a6 .What is the error of the estimate using this number of interpolation points?2. Determine the formula for the Trapezoidal Rule estimate of the in
University of Florida - MAD - 4401
MAD 4401Quiz 6NAME1. Determine the normalized Newton-Cotes coefficients cfw_a0 , a1 , a2 , a3 . Show thecalculations.2. Suppose that you estimate10f ( x ) dx with a second degree polynomial using the3following points cfw_ 1 , 2 , 4 . What coef
University of Florida - MAD - 4401
MAD 4401Quiz 71. Determine the normalized Newton-Cotes coefficients cfw_a0 , a1 , a2 , a10 . Showthe calculations.2. Use the coefficients above to calculate the Newton-Cotes estimate of the integral414 1 + x 2 dx . What is the exact value of this
University of Florida - MAD - 4401
MAD 4401Quiz 8Name1. Determine the normalized Newton-Cotes coefficients cfw_a0 , a1 , a2 , a8 . Givethese as fractions.2. Give the Legendre polynomials up to degree five, cfw_ P0 , P1 , P2 , P3 , P4 , P5 using theformula Pn ( x ) =1 dn( x 2 1)n
University of Florida - MAD - 4401
MAD 4401Quiz 9Name1. Estimate the integral21sin( x ) dx using the Monte Carlo method using 100random numbers. Give a formula for how you did this.2. Estimate the integral21sin( x ) dx using the Monte Carlo method using 1000random numbers. Give
University of Florida - MAD - 4401
MAD 4401Quiz 101. Assume a queueing system with M/M/1/FIFO. Assume that the arrival rate is = 2.0 hour and the service rate is = 2.2 hour . Simulate this process for a tenhour period starting with zero customers at t = 0 .
University of Florida - MAD - 4401
MAD 4401Quiz 12NameThis quiz is a homework. Most quizzes are worth 10 points, this is worth 50 points.Each problem is worth 25 points. For each problem, list the program you devised and theoutput data requested. This is a homework assignment and is d
University of Florida - MAD - 4401
MAD 4401Quiz 131. Determine the coefficients to estimate the derivatives for each of the followingcases using the points cfw_ x0 h, x0 , x0 + 2 h, x0 + 5 h, x0 + 6 h . What is the optimal hto use given that the error in the computation of f ( x ) is 1
University of Florida - MAD - 4401
MAD 4401Quiz 141. Determine the coefficients to estimate the derivatives for each of the followingcases using the points cfw_ x0 h, x0 , x0 + 2 h, x0 + 5 h, x0 + 6 h . What is the optimaal hto use given that the error in the computation of f ( x ) is
University of Florida - MAD - 4401
MAD 4401Keesling1.Study Guide for Test 1Test on 2/10/12Have the following programs debugged on your TI-89 and ready for use onTest 1.Lagrange for a vector of x values and a vector of y valuesVandermonde matrix for a vector of pointsNewton Cotes c
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University of Florida - MAD - 4401
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CNT 4007 Computer Networks- Chapter 2 : Application LayerJonathan C.L. Liu, Ph.D.Department of Computer,InformationScience and Engineering (CISE),University of Florida1Chapter 2: Application LayerOur goals: conceptual,implementationaspects of
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University of Florida - CNT - 4007
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