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7A Topic Hypothesis Testing One sample case 7.1 7.2 7.3 7.4 Errors in Making Decisions Type I Error Reject a true null hypothesis, probability The of Type I Error is Type II Error Fail to reject a false null hypothesis, The probability of Type II Error is
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HKUST >> ISMT >> 111 (Fall, 2008)
Topic 7B Hypothesis Testing Two samples case 7.5 7.6 7.7 7.8 Testing of proportions difference H 0 : p1 p2 = 0 H a : p1 p 2 0 case 1 n p +n p p= 1 1 2 2 n1 + n2 Z= p1 p2 p (1 p ) p (1 p ) + n1 n2 case 2: H 0 : p1 p2 = d H a : p1 ...
HKUST >> ISMT >> 111 (Fall, 2008)
Topic 6B Confidence Interval Two sample cases 6.4 Confidence Interval for Difference of Population mean Point Estimate (Critical Value)(Standard Error) known, normal population or large sample 1 , 2 X1 X 2 z / 2 12 n1 + 2 2 n2 1 = 2 unk...
HKUST >> ISMT >> 111 (Fall, 2008)
Topic 6A Confidence Interval One sample case 6.0 Basic Concepts: Confidence level, Sampling error, Standard Error, Controlling of Sampling Error, 6.1 Confidence Interval for Population mean 6.2 Confidence Interval for population proportion p Z/2...
HKUST >> ISMT >> 111 (Fall, 2008)
Topic 5B Sampling Distribution 5.5 Sample Proportion v.s. Population proportion: 5.6 Distribution of sample proportion: Approximated by a normal distribution if p = p np 5, n(1 p) 5 p = p(1 p) n 5.7 Distribution of difference between two samp...
HKUST >> ISMT >> 111 (Fall, 2008)
Topic 4 Distribution of Continuous Random Variable 4.1 Uniform distribution: If c and d are numbers on the real line (c < d), the probability curve describing the uniform distribution on [c, d] is f ( x )= 1 d c for c x d The probability that x is...
HKUST >> ISMT >> 111 (Fall, 2008)
Topic 5A Sampling Distribution 5.1 Sampling variation: Since the sample is a random subset of the population, the sample mean and population mean will not be the same. Different samples will have different sample means. Sample mean is random variable...
HKUST >> ISMT >> 111 (Fall, 2008)
Topic 3 Discrete Probability Distributions Part B 3.7 Combination: the number of ways to choose r objects from a group of n objects without regard to order. n Cr = n! r! (n r)! 3.8 Binomial Distribution 3.8.1 The setup for Binomial Distribution ...
HKUST >> ISMT >> 111 (Fall, 2008)
ISMT 111 BUSINESS STATISTICS TUTORIAL 5 Sampling Distribution of Sample Statistics The sampling distribution of a statistic is the probability distribution of all the possible values of this statistic which are computed from random samples with sam...
HKUST >> ISMT >> 111 (Fall, 2008)
ISMT 111 BUSINESS STATISTICS TUTORIAL 6 Confidence Interval Estimation for Population Mean, For large sample size n, if is unknown, use s instead For small sample size with normal population and known A (1 )100% Confidence Interval for is c...
HKUST >> MATH >> 106 (Spring, 2008)
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HKUST >> MATH >> 106 (Spring, 2008)
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HKUST >> ISMT >> 111 (Fall, 2008)
Topic 3 Discrete Probability Distributions Part A 3.1 A random variable is a numerical description of the outcome of an experiment. A random variable can be classified as being either discrete or continuous depending on the numerical values it assume...
HKUST >> ISMT >> 111 (Fall, 2008)
ISMT 111 L1 BUSINESS STATISTICS TUTORIAL 7 Definition Null Hypothesis ( H 0 ) created by Andrew Yam - a hypothesis we assume to be TRUE, e.g. H 0 : = 0 - assumption we wish to test Alternative Hypothesis ( H a or H 1 ) - a hypothesis we wish to...
HKUST >> ISMT >> 111 (Fall, 2008)
Topic 2 Probability 2.1 Probability A probability is a measure of the likelihood that an event in the future will happen. Denote event by A , the probability of the event A by P(A) , 0 P ( A) 1 , when P(A)=0 , we say A is an impossible event, P(A)=...
HKUST >> MATH >> 106 (Spring, 2008)
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HKUST >> ECON >> 324 (Spring, 2008)
ECON 117 Mathematical Economics Spring 2008 Week 13 3. Optimization with inequality constraints 3.1 The basic idea Q) y = f ( x ), f : x is convex in x Let x solve min f ( x ) Find the F.O.C. for x x1 Q) Let x solve: min f ( x ) x s.t. ...
HKUST >> ECON >> 324 (Spring, 2008)
ECON 117 Mathematical Economics Spring 2008 Week 11 2. 2.1 f: Ex) Optimization with equality constraints One constraint case n n f , g : continuous & differentiable g: b [OP: Original Program] x1 , x2 , xn max f ( x1 , x2 , , xn ) s.t. g (...
HKUST >> ECON >> 324 (Spring, 2008)
ECON 117 Mathematical Economics Spring 2008 Week 12 Q) Solve the following program max x1 x2 x1, x2 s.t. x1 + x2 = 1 Page 1 of 11 ECON 117 Mathematical Economics Spring 2008 2.2 Ex) Utility Maximization ( x1 , x2 ) . There are two goods...
HKUST >> ECON >> 324 (Spring, 2008)
ECON 117 Mathematical Economics Spring 2008 Week 10 1.2 Multiple variable case: y = f (x), f : n Def) f ( x) has a local max at x 0 if f (x0 ) > f (x0 + h x) x 0 n , small h 0 Theorem) f ( x) has a local max at x 0 if f f f Df (x...
HKUST >> ECON >> 324 (Spring, 2008)
ECON 117 Mathematical Economics Spring 2008 III. Mathematical Programming 1. Maximization and Minimization without Constraint 1.1 One variable case: f : ( f is continuous and continuously differentiable) Q) Find all local max points and a global ...
HKUST >> ECON >> 324 (Spring, 2008)
ECON 117 Mathematical Economics Spring 2008 Week 9 4.2 Properties of eigenvalues and eigenvectors Let A be symmetric ( nn ) (1) Eigenvalues are real Page 1 of 8 ECON 117 Mathematical Economics Spring 2008 (2) The two eigenvectors x i , x j ...
HKUST >> ECON >> 324 (Spring, 2008)
ECON 117 Mathematical Economics Spring 2008 Week 8 (Half) 3.6 Cramers Rule Q) x + y + z = 4 x z =1 x y =1 Find x, y, z by using the Cramers Rule. Page 1 of 6 ECON 117 Mathematical Economics Spring 2008 4. Eigenvalue Problems 4.1 Eigenva...
HKUST >> ECON >> 324 (Spring, 2008)
ECON 117 Mathematical Economics Spring 2008 Week 7 3.4 The Properties of Determinant 1. A = A 2. If B is obtained from A by interchanging any two rows (or columns) of A , then B = A 1 2 1 Ex) A = 2 1 2 0 1 1 2 1 2 B = 1 2 1 0 1 1 ...
HKUST >> ECON >> 324 (Spring, 2008)
ECON 117 Mathematical Economics Spring 2008 Week 5 Def) Space We call A that is spanned by k (< n) independent n-dimensional vectors has dimension k . A is a subspace of n . 2 Q) Find the space that is spanned by x = 1 2 . Q) Find the sp...
HKUST >> ECON >> 324 (Spring, 2008)
ECON 117 Mathematical Economics Spring 2008 Week 6 3.1 The Rank of a Matrix A , ( A ) , is the maximum number of rows (or columns) in A that are Def) The rank of matrix linearly independent. Theorem) A , the maximum number of linearly indepe...
HKUST >> ECON >> 324 (Spring, 2008)
ECON 117 Mathematical Economics Spring 2008 Week 4 Def) Linear combination (broad meaning) Let {xi } = {x1 , , x m } where If y = xi n . x , i =1 i i i m , then we call y is a linear combination of {x i } or y is linearly dependent o...
HKUST >> ECON >> 324 (Spring, 2008)
ECON 117 Mathematical Economics Spring 2008 Week 3 3.5 Total Derivatives and Partial Derivatives , i.e., f : 2 Def) For z = f ( x, y ) , x, y , z , z (partial derivative of z with respect to x ) is the marginal rate of change of z with resp...
HKUST >> ECON >> 324 (Spring, 2008)
ECON 117 Mathematical Economics Spring 2008 Week 2 3.2 Differentiation of a Real Function Y Def) Real function: f : X Y is a real function if Q) Draw the following real function: f = 2 x2 8x + 2 y = 2x + 2 (1) (2) Def) Differentiation of a...
HKUST >> ISMT >> 111 (Fall, 2008)
Topic 0 Basic Concepts of Statistics 0.1 Population :The complete collection of Individuals that are of interest in the study. Sample: A portion, or part, of the population of interest. 0.2 Random sample: A random sample is a sample selected from a ...
HKUST >> ISMT >> 111 (Fall, 2008)
Topic 1 Descriptive Statistics 1.1 Frequency Distribution: a grouping of data into different categories showing the number of observations in each class. Four steps: Decide on the number of classes. Determine the class interval or width. Set the i...
HKUST >> ISMT >> 111 (Fall, 2008)
ISMT 111 BUSINESS STATISTICS TUTORIAL 8 Simple Linear Regression Model Aim: Use X (Independent Variable, or Predictor Variable) to predict Y (Dependent Variable, or Response Variable) after drawing n pairs of observations, (x1 , y 1 ),., (xn , y n...
Cornell >> CHEM >> 2080 (Spring, 2008)
Thermodynamics of Galvanic Cells by Caroline Tabler Lab Instructor: Bob Neuman April 28, 2008 Results and Discussion: For this experiment, a Cu/Ag galvanic cell was created and its temperature measured. A voltimeter was then used to find the cell p...
Cornell >> CHEM >> 2080 (Spring, 2008)
Preparation of a Buffer Solution by Caroline Tabler Lab Instructor: Bob Neuman March 25, 2008 Results and Discussion: For this experiment, a 400 ml buffer was to be prepared using one of three acids with its conjugate base. The buffer needed to ha...
Cornell >> CHEM >> 2080 (Spring, 2008)
Chemical Kinetics: Iodine Clock Reaction by Caroline Tabler Lab Instructor: Bob Neuman February 26, 2008 Results and Discussion: In order to determine the concentration and temperature dependence of the reaction rate between the peroxydisulfate io...
Cornell >> CHEM >> 2080 (Spring, 2008)
pKa of an Unknown Acid-Base Indicator by Caroline Tabler Lab Instructor: Bob Neuman April 13, 2008 Results and Discussion: For this experiment, several tests were made on the bromothymol blue indicator in order to measure its pKa. First, the indic...
Cornell >> CHEM >> 2080 (Spring, 2008)
Hot- and Coldpacks by Caroline Tabler Lab Instructor: Bob Neuman February 12, 2008 Results and Discussion: The heat of solution for one of seven salts (ammonium nitrate) was determined by first calculating the heat capacity of a calorimeter (Table...
Cornell >> CHEM >> 2080 (Spring, 2008)
Identification of an Unknown Weak Acid by Caroline Tabler Lab Instructor: Bob Neuman April 22, 2008 Results and Discussion: For this experiment, the molar mass and the pKa of an unknown acid had to be experimentally calculated. This was done by usi...
Michigan State University >> BMB >> 461 (Spring, 2008)
BMB 461 Fall Semester 2008 Homework Assignment #1 Due (key posted) Thursday, September 4th Note: most of the Ka and pKa values needed to solve these problems can be found in your notes or in the text. 1.) Sketch the hydrogen-bonded structures that ma...
Michigan State University >> BMB >> 461 (Spring, 2008)
BMB 461 Fall Semester 2008 Homework Assignment #2 Key posted - Thursday, September 11 In addition to the questions below, you should look at Lehninger, Nelson, and Cox, problems for Chapter 3 (pp. 108-110), nos. 8, 11, 13, and 18. Solutions are in th...
Michigan State University >> BMB >> 461 (Spring, 2008)
BMB 461 Fall Semester 2008 Homework Assignment #2 Key posted - Thursday, September 11 In addition to the questions below, you should look at Lehninger, Nelson, and Cox, problems for Chapter 3 (pp. 108-110), nos. 8, 11, 13, and 18. Solutions are in th...
Michigan State University >> BMB >> 461 (Spring, 2008)
BMB 461 Fall Semester 2008 Homework Assignment #3 Key posted Tuesday, September 16 This problem set covers material presented in Chapters 4 and 5. In addition to the questions below, you should look at the following questions in your textbook: Chapte...
Michigan State University >> BMB >> 461 (Spring, 2008)
BMB 461 Fall Semester 2008 Homework Assignment #1 Due (key posted) Thursday, September 4th Note: most of the Ka and pKa values needed to solve these problems can be found in your notes or in the text. 1.) Sketch the hydrogen-bonded structures that ma...
Amarillo College >> ACC >> 560 (Spring, 2008)
BRIEF EXERCISE 15-3 LUFIA CORPORATION Stockholders Equity 12/31/03 Common stock, $5 par value 210,000 Paid-in capital in excess of par 1,320,000 Retained earnings 2,340,000 3,870,000 Less treasury stock Total stockholders equity $3,780,000 (90,000) $...
UCF >> EGN >> 3310 (Spring, 2008)
Engineering Mechanics - Statics Chapter 4 Problem 4-1 If A, B, and D are given vectors, prove the distributive law for the vector cross product, i.e., A ( B + D) = ( A B) + ( A D). Solution: Consider the three vectors; with A vertical. Note tria...
UCF >> EGN >> 3310 (Spring, 2008)
Engineering Mechanics - Statics Chapter 5 Problem 5-1 Draw the free-body diagram of the sphere of weight W resting between the smooth inclined planes. Explain the significance of each force on the diagram. Given: W = 10 lb 1 = 105 deg 2 = 45 de...
UCF >> EGN >> 3310 (Spring, 2008)
Engineering Mechanics - Statics Chapter 2 Problem 2-1 Determine the magnitude of the resultant force FR = F1 + F 2 and its direction, measured counterclockwise from the positive x axis. Given: F 1 = 600 N F 2 = 800 N F 3 = 450 N = 45 deg = 60 de...
UCF >> EGN >> 3310 (Spring, 2008)
Engineering Mechanics - Statics Chapter 3 Problem 3-1 Determine the magnitudes of F1 and F2 so that the particle is in equilibrium. Given: F = 500 N 1 = 45 deg 2 = 30deg Solution: Initial Guesses F 1 = 1N Given + Fx = 0; + F 2 = 1N F 1 cos ( ...
Arizona >> SOC >> 326 (Spring, 2008)
Soc 326 8-6-08 Gender and Work Consider how occupational opportunities and outcomes differ for men and women Women have made significant work related progress in recent decades Good greater labor force participation more equal pay Bad still unequal p...
Arizona >> SOC >> 326 (Spring, 2008)
Soc 8-1-08 Professions summarized -Occupations are more or less professional based upon certain criteria -Systematic body of theory of knowledge -The sanction of a professional community -Code of ethics -Professional culture -Lifetime commitment to t...
Arizona >> SOC >> 326 (Spring, 2008)
SOC 326 8-7-08 Socialization and Careers (8-6-08) cont -The gender typing of occupations encourages men and women to have different career aspirations. -Via socialization -Many occupations are still gendered -See handout -Interesting research has loo...
Arizona >> SOC >> 326 (Spring, 2008)
SOC 326 8-5-08 Rewards of Work -What motivates us to work? -Personal examples -Workers motivation is topic off much research attention. -Concern of management and researchers on organizational behavior. -Ex. McGregor (1960): Theory X and Theory Y. -T...
Arizona >> SOC >> 326 (Spring, 2008)
SOC 326 8-1-08 Professions Summarized -Occupations are more or less professional based upon certain criteria. -Systematic body of theory/knowledge. -The sanction of a professional community via education, training, licensing, and certification. -Code...
Arizona >> SOC >> 326 (Spring, 2008)
SOC 326 7-30-08 Organizational Commitment -Defined as the extent to which a worker identifies with and feels involved with the activities of an organization. -Two separate components -Affective (Emotional) commitment -Belief in and acceptance of orga...
Arizona >> SOC >> 326 (Spring, 2008)
SOC 326 729-08 Power and Authority In Organizations -Power and Authority -Power -Weber: the ability for person or groups to carry out their will even when opposed by others. -A person who has the right personality, they could have more power. -Author...
Arizona >> SOC >> 326 (Spring, 2008)
SOC 326 728-08 Work Organizations and Bureaucracies -Organizations and worker control -Organizational structure is the pattern of relationships among the various parts and people within an organization. -Structure can be both formal and informal. -Yo...
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