# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

3 Pages

### wk8_solutions

Course: BIEP 540, Fall 2009
School: UMass (Amherst)
Rating:

Word Count: 458

#### Document Preview

540 Introductory PubHlth Biostatistics Page 1 of 3 Topic 5 The Normal Distribution Week #8 - Practice Problems SOLUTIONS 1. Suppose the distribution of GRE scores satisfies the assumptions of normality with a mean score of =600 and a standard deviation of =80. a. What is the probability of a score less than 450 or greater than 750? Answer: .0608 Solution: Probability { score &lt; 450 OR score &gt; 750...

Register Now

#### Unformatted Document Excerpt

Coursehero >> Massachusetts >> UMass (Amherst) >> BIEP 540

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
540 Introductory PubHlth Biostatistics Page 1 of 3 Topic 5 The Normal Distribution Week #8 - Practice Problems SOLUTIONS 1. Suppose the distribution of GRE scores satisfies the assumptions of normality with a mean score of =600 and a standard deviation of =80. a. What is the probability of a score less than 450 or greater than 750? Answer: .0608 Solution: Probability { score < 450 OR score > 750 } = pr [ X < 450] + pr [ X > 750] 450-600 750-600 = pr Z < + pr Z > 80 80 = pr [ Z < -1.875] + pr [ Z > +1.875] = 2pr [ Z > +1.875] = 2 (.0304 ) = .0608 b. What proportion of students have scores between 450 and 750? Answer: .9392 Solution: Proportion of students with scores between 450 and 750 = pr [ 450 < X < 750] =1 - pr[ x < 450 or X > 750] = 1-.0608 =.9392 c. What score is equal to the 95th percentile? Answer: 731.2 Solution: For ZNormal(0,1) pr [ Z.95 < 1.645] = .95 X - From Z = substitute X - 600 1.645 = .95 80 ....docu\Wk8_solutions.doc PubHlth 540 Introductory Biostatistics Page 2 of 3 Thus, X .95 = Z.95 + = 80 1645 + 600 . = 731.6 a f 2. The Chapin Social Insight Test evaluates how accurately the subject appraises other people. In the reference population used to develop the test, scores is normally distributed with mean =25 and standard deviation =5. The range of possible scores is 0 to 41. a. What proportion of the population has scores below 20 on the Chapin test? Answer: .1587 Solution: pr(X < 20) = pr Z < 20 - 25 = pr[Z < -1]=.1587 5 10 - 25 ] = pr[ Z < -3 ] = .0014 5 b. What proportion has scores below 10? Answer: .0014 Solution: pr(X < 10) = pr[ Z < c. How high a score must you have in order to be in the top quarter of the population social in insight? Answer: 28.35 Solution: pr ( Z > 0.6745) = .25 Thus, X = Z + = ( 5 ) [ 0.6745] + 25 = 28.3725 3. A normal distribution has mean =100 and standard deviation =15 (for example, IQ). Give limits, symmetric about the mean, within which 95% of the population would lie: Solution: First obtain an interval for ZNormal(0,1) pr [ -1.96 < Z < +1.96 ] = .95 Next, recall that the standard error, SE, of X , is related to And the mean of X is E [X] = via se[X] = n Thus, the standardization formula can be manipulated to yield a formula for X in terms of Z. ....docu\Wk8_solutions.doc PubHlth 540 Introductory Biostatistics Page 3 of 3 From Z = X - E[X] , solve for X . SE[X] X = {se ( X )} Z + Z + = n Now we can make a little table Z X X n=4 X n=16 X n=100 Mean 0 100 100 100 100 SE 1 15 15/2 15/4 15/10 Lower limit -1.96 (15)( -196) + 100 = 70.6 . (15 / 2)( -1.96) + 100 = 85.3 (15 / 4)( -1.96) + 100 = 92.65 (15 / 10)( -1.96) + 100 = 97.06 Upper limit +1.96 (15)( +196) + 100 = 129.4 . (15 / 2)( +1.96) + 100 = 11...

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

UMass (Amherst) - BIEP - 540
PubHlth 540Introductory BiostatisticsPage 1 of 10Unit 2 - Summarizing Data Week #2 - Practice ProblemsSolutions1.A stem and leaf diagram might come in handy. Stems are shaded, leaves are not.3 4 5 668851865 50165165310 39113 903 4
UMass (Amherst) - BIOEP - 740
A Model for a Nested Study Ed Stanek Introduction We present notation that can be used to express a simple model for a nested study. The model is based on the assumption that response has been reported for subjects selected via a two stage cluster sa
UMass (Amherst) - RESE - 212
PreLecture 8-for note taking at Lec 8Dr. Rogers, Intro Stats. 9/29/08Lecture 8-Mon, Sept 29, 2008 AnnouncementsDo 4.36 p. 107, then on p. 114: 4.38, 4.40, 4.42, 4.46, 4.48, 4.52. Do 4.70 p. 133, and then 4.79, 4.80 p. 136. Do PreLec 9 for Wednes
UMass (Amherst) - RESE - 211
Introductory Statistics Formulas Population Mean: x = Range: xii =1NN=xN;Sample Mean: x =xi =1nin=xnR = Maximum Value Minimum Value(n + 1) 2( n + 1) 3(n + 1) . ; Q2 @ ; Q3 @ 4 4 4 Quartile values: Q j = xi + .dd
UMass (Amherst) - BIEP - 640
PubHlth 640Intermediate Biostatistics1Unit 1 Review of PubHlth 540, Introductory Biostatistics Practice Problems Week #1 Due: Monday February 2, 20091. Recall that variables can be of different types. We learned in introductory biostatistics
Johns Hopkins - V - 061
January 2008211GAllAGHer, liz TheOppositeofInvisible. Lamb, 2008 Library ed. ISBN 978-0-375-94329-4 \$18.99 Trade ed. ISBN 978-0-375-84152-1 \$15.99 Reviewed from galleys[160p] Ad Gr. 7-12Alice has been content with her comfortable life in
Michigan - ECE - 273
Michigan - EECS - 203
ECE203 HW6 Solution 3. (10 pts) For the RSE architecture we started discussing in class, show reasonable encodings for each of the eight instructions. For example, the add instruction might have the following encoding:instruction add sub ldm stm ld
Penn State - ME - 550
APPENDIX: 1 SOME MATERIAL FOR REVIEW AND REFERENCE Al.l SetsSets are denoted by single capital letters A, B, M, - - - or by the use of braces, for example {a, b, c} denotes the set having the letters a, b, c as elements {t ( f(t) = 0} denotes the se
Penn State - MXB - 951
Monjia BelizaireConstruction Management Faculty Consultant: Dr. Messner City Hospital Southeast PennsylvaniaAppendix 1: Breadth StudiesBreadth Study #1: Mechanical/Sustainability This technical analysis will consist of identifying four LEED poin
Penn State - MEG - 246
FinalProposal forSpringThesisProject December12,2008 MeghanGraberIntegratedScienceCenterCollegeofWilliam&amp;Mary Williamsburg,VirginiaConstructionManagement Dr.Riley GraberTABLEOFCONTENTS I. II. ExecutiveSumm
Penn State - POP - 1990
APPENDIX 1SPECIFICATIONS FOR RECODES NOTES: (1) FL=&quot;File Location,&quot; meaning Telephone Reinterview Respondent File Location unless otherwise specified. TL= &quot;Tape Location,&quot; meaning 1988 NSFG Respondent File Tape Location unless otherwise specified.
UMass (Amherst) - PUBP - 608
Linear Regression with Multiple Regressors5.75.13Michael Ash CPPAMultiple Regression p.1/18Course notes Course notes here Last time Estimating the multiple regression model Hypothesis testing about individual coefficientsMultiple Regres
UMass (Amherst) - RESE - 212
PreLecture 25-for note taking in Lec 25.12/03/08Intro Stats. Professor Rogers.Lecture 25-Monday, Dec 3, 2008AnnouncementsExamplesCourtroom AnalogyBeyond a Reasonable Doubt That's ! Significance Level is the Probability of making a Type 1 e
UMass (Amherst) - RESE - 212
Lecture 27. The Last One!December 10, 2008Professor Rogers. Intro Stats.Lecture 27-Monday, Dec 10, 2008AnnouncementsBoyden; Front; Southwest Dorms 212 in Green; 211 in Red L 1A 50 C R 6 O 201-250 S S 11Last Sunday Stats is Dec 14th, 7 to 9
UMass (Amherst) - BIEP - 540
PubHlth 540Introductory BiostatisticsPage 1 of 4Practice Test III Unit 6 Estimation Unit 7 Hypothesis Testing1. a. True or False. A hypothesis test for which the type I error occurs with probability has probability of type II error equal t
UMass (Amherst) - BIEP - 640
1Intermediate Biostatistics Computer Illustration Analysis of Count Data Software: SAS Mantel Haenszel Stratified Analysis of RatesData Set: Source: Fisher LD and VanBelle G. Biostatistics: A Methodology for the Health Sciences New York: John Wil
UMass (Amherst) - BIEP - 540
BE540WIntroductionPage 1 of 15IntroductionTopics1. 2.Why Biostatistics . 3 Course Overview . 9BE540WIntroductionPage 2 of 151. Why Biostatistics A variety of settings illustrate the need for and use of biostatistics. Example Gen
UMass (Amherst) - RESE - 212
PreLecture 19-for note taking in Lec 19.11/05/08Professor Rogers. Intro Stats.Lecture 19-Wed, Nov 5, 2008 AnnouncementsExam 2 this Friday3:30 p.m. We have Population Parameters! And lots of additional sample statisticse.g., exit polls. OWL d d
UMass (Amherst) - ECE - 565
Homework Assignment #2 ECE 565, Spring 2009(Emailed to students on Sun, 22 Feb; due in class on 1 Mar)Problem 1 (8 pts. total): The DTFSUse the dening equation for the DTFS,N -1X[k] =n=0x [n] e-jk N n ,2and solve the following problems
UMass (Amherst) - BIEP - 540
1Unit 3 Populations and SamplesSelf Evaluation QuizSOLUTIONS1a.(i)population mean = =Xi=15i5= 184.0(ii)population variance = 2 =( Xi - )i =152size of population=(Xi =15i- 184 ) 52= 810.8(iii) pop
Penn State - MBJ - 5009
Matthew B. JankauskasEmail: mbj5009@email.psu.edu Mobile: (215) 860-8952 Current Address: 0705 Stuart Hall University Park, Pa 16802 Permanent Address: 253 White Swan Way Langhorne, Pa 19047 EducationThe Pennsylvania State University Smeal Colleg
Michigan - E - 101
1More on Newton's Method% function x = myroot(a, epsilon) function x = myroot(a, epsilon) xnew = 1; x = xnew + 1 + epsilon; % dummy value while abs(x-xnew) &gt; epsilon x = xnew; xnew = x - (x^2-a)/(2*x); endThe solution to the Newton's method proj
UMass (Amherst) - ECE - 585
University of Massachusetts Department of ECE Amherst, MA 01003Course Instructor: R. Janaswamy Date of Preparation: 01/29/2008 Prepared by: R. JanaswamyECE 585: Microwave Engineering II (3-0), Spring 2008I. Catalog Data 3-port and 4-port passive
UMass (Amherst) - CHEM - 241
UMass (Amherst) - HTM - 397
MEECChapter Four Meeting and Convention Venues Venues in GeneralMatch the venue (location) with the goals and objectives of the meeting Know the physical characteristics / attributes AND the financial requirements of the venue
UMass (Amherst) - POLSC - 305
Congressional Elections I. Historical Patterns/Trends (or, &quot;Are all political local?&quot;)A. Presidential Coattails The party that wins the presidency usually picks up seats in Congress in presidential election years. B. Presidential Party Surge/Midte
Michigan - GEOL - 420
1Exploration geophysics Our understanding of the structure and evolution of the Earths crust relies for a large part on direct observation of geology at outcrops and an interpolation of the observations to the subsurface. Geophysical methods can be
Penn State - CSE - 497
CSE497B/Spring 2007 - QuizThursday, February 8, 2007 - Professor Trent Jaeger Please read the instructions and questions carefully. You will be graded for clarity and correctness. You have 20 minutes to complete this quiz, so focus on those question
UMass (Amherst) - LEG - 350
Jose PadillaBackground 1970, born in Brooklyn NY Moved to Chicago as a child and joined a gang when he was 13 years old; 2 years later, he was arrested and convicted of aggravated assault. Tried as a juvenile and held until his 18th birthday. Af
UMass (Amherst) - RESEC - 305
Dr. M.J. Alhabeeb Fall, 2007 Office: 202 Stockbridge Hall Phone: 545-5010 Office hrs: Mondays: 4:00-5:00 or by appointment e-mail: mja@resecon.umass.edu _ RES EC 305 PRICE THEORY Tu &amp; Th: 4:00 - 5:15 227 Chenoweth Hall Course Description: The econom
UMass (Amherst) - CLASS - 202
CLASSICS 202Fall '08MWF 2:303:20, Herter 116 Prof. B. W. BreedTHE AGE OF AUGUSTUSDuring the lifetime of Rome's first emperor Augustus (63 BC - AD 14) some of the most enduring masterpieces of ancient literature, art, and architecture were creat
UMass (Amherst) - CHEM - 112
PERIODIC TABLE OF THE ELEMENTS1A12A3B4B5B6B7B8B8B8B1B2B3A4A5A6A7A8A2H1.008He4.003345678910Li6.939Be9.012B10.81C12.01N14.01O16.00F19.00Ne20.18111213141516
UMass (Amherst) - CHEM - 112
PERIODIC TABLE OF THE ELEMENTS1A12A3B4B5B6B7B8B8B8B1B2B3A4A5A6A7A8A2H1.008He4.003345678910Li6.939Be9.012B10.81C12.01N14.01O16.00F19.00Ne20.18111213141516
UMass (Amherst) - BIOEP - 691
967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991
UMass (Amherst) - CHEM - 112
Turn on Camtasia Recording!Tami's Review Session: Wednesday March 12th 7:00 PM Library Room 1320.1.2.3PRSIf initial concentration of N2O4 is 0.50 M, what is the equilibrium concentration of NO2? Kc( 273K)=0.00077 N2O4(g) 2 NO2(g).
UMass (Amherst) - CHEM - 112
Turn on Camtasia Recording!.1What kind of chemical reaction is found in batteries?A.Oxidation B.Acid-Base C.Oxidation-Reduction C Oxidation-Reduction D.Thermodynamic E.Kinetic2.Balancing Oxidation-Reduction Reactions1. Assign id ti 1 A i
UMass (Amherst) - CHEM - 112
Turn on Camptasia Recording!Office Hours this week 1-2:30 Friday in the CRC.Positions f student peers to assist with summer orientation in P iti for t d t t i t ith i t ti i 2008. Students from the College of Natural Science and Mathematics are wan
UMass (Amherst) - GEO - 311
Inosilicates (chain silicates)The most important two mineral groups The most important two mineral groups are the pyroxenes and the amphiboles.PyroxenesGeneral Formula XYT2O6 or or M1M2(SiAl)2O6 X(M2) = Na, Ca, Mn Fe, Mg and Li Y(M1) Mn Fe ) =
UMass (Amherst) - GEO - 250
International StrategyISDRfor Disaster ReductionInternational Strategy for Disaster ReductionDisaster statistics OCCURRENCE: trends-centuryNumber of natural disasters registered in EMDAT 1900-20044003503002502001501005001900
UMass (Amherst) - CHEM - 267
Isolation of Trimyristin from Nutmeg and Its Hydrolysis to Myristic AcidCompounds having complex molecular structures can be separated from natural materials. Usually they are components of very complex mixtures. To obtain pure compounds, long, tedi
UMass (Amherst) - CHEM - 269
Natural Products Chemistry. The Isolation of Trimyristin from Nutmeg. Over 40% of the medicinal chemicals used throughout the developed world today were originally isolated from natural sources. These sources include flowering plants, fungi, bacteria
UMass (Amherst) - A - 101
Astronomy 101 Sept. 11, 2008Announcements:Student contract due by COB tomorrow (you can leave it in my mailbox) First real OWL homework up tomorrow; due Sept. 24 before midnight Probably best to work the OWL tutorial before doing the first r
Penn State - EET - 213
PC-Controlled Servox xWhat device is it? How to use it?Servo Motor SystemxA servo system is a control system consisting of several devices which continuously monitor actual information (position, velocity), compare those values to desired out
Penn State - CSE - 473
Operating Systems CMPSC 473Synchronization February 26, 2008 - Lecture 12 Instructor: Trent Jaeger Last class: Synchronization Problems and Primitives Today: Synchonization SolutionsMidterm (Both Sections) 84-100 (A) - 10 - High is 9
Penn State - CSE - 473
Operating Systems CMPSC 473Introduction January 15, 2008 - Lecture 1 Instructor: Trent JaegerAbout Me Trent Jaeger (PhD, University of Michigan) Associate Professor, CSE - after 9 years at IBM Research Research: Operating System Security Examp
Penn State - CSE - 473
Operating Systems CMPSC 473Deadlocks February 28, 2008 - Lecture 13 Instructor: Trent Jaeger Last class: Synchronization Today: DeadlocksDefinition A set of processes is deadlocked if each process in the set is waiting for an event that onl
Penn State - CSE - 473
CSE473/Spring 2008 - 2nd Midterm ExamTh, April 17, 2008 Professor Trent Jaeger Please read the instructions and questions carefully. You will be graded for clarity and correctness. You have 75 minutes to complete this exam, so focus on those questi
Penn State - CSE - 514
Chapter 1: IntroductionOur goal:get &quot;feel&quot; and terminology more depth, detail later in course approach: use Internet as example1.1: What's the Internet: &quot;nuts and bolts&quot; viewPC server wireless laptop cellular handheldOverview:what's the Inter
Penn State - ESP - 5016
Evan Petersen COMPEN 331 Section 1 April 13, 2008 Resource Sharing in Multi-Core Today, multi-core processors have become fairly commonplace. Whether dealing with desktop PCs, notebooks, servers, or embedded systems, multi-core technology has been em
Penn State - VLC - 5013
Victoria L. CooperVlc5013@psu.edu; (412) 352-0406 Permanent: 711 Ridge Avenue, Avalon, PA 15202; (412) 734-2424 School: 458 East College Avenue #703, State College, PA 16801 OBJECTIVE Seeking a summer internship where I can gain experience in Broadc
Michigan - PHYSICS - 453
3g pp7 F @ @ ! \$ @ &quot; \$ FF &quot; F ! &quot; ! @ &quot; ! &quot;F ! \$ b(3#9(WA8#8p#A44fA8A#u \$ @ @ ! 1 &quot; &quot; ! ! ! @ ! ! 1 G @ ! F &quot; E &quot; ! \$ ! @ G (gpg3(A#43y(3#u#(ux3H8A8A3xUu#3H&quot; x &quot; ! ! 2 &quot; ! &quot; #u#8#h8x9 v(48#uv43(A
Michigan - EECS - 451
EECS 451 PRINT YOUR NAME HERE:EXAM #2Fall 2008HONOR CODE PLEDGE: I have neither given nor received aid on this exam, nor have I concealed any violations of the honor code. Closed book; 4 sides of 8.511 cheat sheet. SIGN YOUR NAME HERE: CIRCLE O
UMass (Amherst) - ECE - 584
ECE 584 Microwave Engineering Laboratory NotebookD. M. PozarE. J. Knapp 2004Electrical and Computer Engineering University of Massachusetts at AmherstContentsI. Introduction 1. 2. 3. 4. II. General Comments Microwave Radiation Hazards Overvi
Penn State - SLM - 463
Lesson 2: Manipulating and Summarizing Attribute DataCentral Oklahoma Tornado Outbreak from May 3, 1999 Stephanie WojnoFigure 1. The above image shows the path of a tornado during the May 3, 1999 Tornado Outbreak. The path is shown by the brown de
Penn State - BUB - 1959
Sheet1 STATE COLLEGE, PENNSYLVANIA DAILY WEATHER SUMMARY - Latest Complete Day [1200 UT - 1200 UT] -11/17/59High Temperature Low Temperature Mean Temperature Rain or Liquid Equivalent Snow and/or Ice Pellets Snow Depth: ::46 Rank (1=Warmest,
Penn State - BUB - 1935
Sheet1 STATE COLLEGE, PENNSYLVANIA DAILY WEATHER SUMMARY - Latest Complete Day [Midnight - Midnight LT] -03/08/35High Temperature Low Temperature Mean Temperature Rain or Liquid Equivalent Snow and/or Ice Pellets Snow Depth42 Rank (1=Warmest, 40=
Penn State - BUB - 1943
Sheet1 STATE COLLEGE, PENNSYLVANIA DAILY WEATHER SUMMARY - Latest Complete Day [Midnight - Midnight LT] -11/10/43High Temperature Low Temperature Mean Temperature Rain or Liquid Equivalent Snow and/or Ice Pellets Snow Depth: ::39 Rank (1=Warm
Penn State - BUB - 1984
Sheet1 STATE COLLEGE, PENNSYLVANIA DAILY WEATHER SUMMARY - Latest Complete Day [1200 UT - 1200 UT] -10/19/84High Temperature Low Temperature Mean Temperature Rain or Liquid Equivalent Snow and/or Ice Pellets Snow Depth: ::72 Rank (1=Warmest,
Penn State - BUB - 1941
Sheet1 STATE COLLEGE, PENNSYLVANIA DAILY WEATHER SUMMARY - Latest Complete Day [Midnight - Midnight LT] -11/16/41High Temperature Low Temperature Mean Temperature Rain or Liquid Equivalent Snow and/or Ice Pellets Snow Depth: ::53 Rank (1=Warm
Penn State - CSE - 458
CSE/EE 458 - Communications NetworksTCP and Congestion ControlCSE/EE 458: Lecture 10 Instructor: William Enck July 3, 2007(Slide content modied from Kurose and Ross courseware)CSE/EE 458 - Communication Networks - Summer 2007 - William Enck Page