Stock and Watson Chapter 2.3- Two Random Variables Joint distribution The joint probability distribution of two discrete random variables, say X and Y, is the probability that the random variables simultaneously take on certain values, say x and y. The pr

Alvin Poyser PAM 210 Prelim 2 Chapter 2: Association- two variables are assoc. if some values of one variable tend to occur more often with some values of the other variable. Response variable- measures an outcome of a study. Explanatory variable- ex

PAM 2100 Spring 2009 Problem Set #7 Answer Key Total points: 10
#1) from the textbook: 7.38 Use df=1000. Round your final answer to four decimal places. (2 points) (The actual degree of freedom of this problem is 1406-1=1405. But since we do not hav

Question 1
1 points Save
A college decides to admit 1300 students. Past experience shows that 80% of the students admitted will accept. Assuming that students make their decisions independently, the number who accept has the B(1300, 0.8) distribution. Rou

PAM 2100 INSTRUCTOR: SALAM ABDUS SAMPLE FINAL QUESTIONS
In total, there will be 10 problems and 15 multiple choice questions in the final. Out of the 10 problems, at least 6 problems will be from the material covered after the second prelim, and at m

PAM 2100 Lecture 1 Fall 2008 Instructor: Salam Abdus Problem Set #2 Answer key Total Points: 10 Circle all of your final answers. Put your name and your section number at the top. #1) ACT scores are distributed normally with a mean = 28 and a standa

PAM 2100 FALL 2008 INSTRUCTOR: SALAM ABDUS SAMPLE PRELIM QUESTIONS (PRELIM #2) In total there will be 8 problems and 15 multiple choice questions. 8 problems would be worth 70 points and the 15 multiple choice questions would be worth 30 points. The

PAM 2100 Lecture 1 Instructor: Salam Abdus Problem Set #3 Posted: September 23rd, 2008 Due: Tuesday, September 30th, 2008, at 1:25 pm
#1) Many high school students take either the SAT or the ACT. However, some students take both. Data was collected

PAM 2100 Lecture 1 Fall 2008 Instructor: Salam Abdus Problem Set #2 Posted: 16th September, 2008 Due: Tuesday, 23rd September, 2008, in class at 1:25 pm Circle all of your final answers. Put your name and your section number at the top. #1) ACT score

PAM 2100 Lecture 1 Fall 2008 Problem Set #5 Posted: October 23rd, 2008 Due Date: Tuesday, October 28th, 2008, in class Round your final answers to four decimal places, if necessary. #1) Let the random variable X be the number of repair calls that an

PAM 2100 Spring 2009 Problem Set #5 Answer Key Total Points: 10 Round your final answers to four decimal places, if necessary. #1) Let the random variable X be the number of repair calls that an appliance repair shop may receive during an hour. The d

Introduction to Statistics- Prelim #1 PAM 2100 Spring 2009 Instructor: Salam Abdus STUDENTS NAME:_
SECTION NUMBER:_
CIRCLE YOUR ANSWERS TO THE MULTIPLE CHOICE QUESTIONS. ANSWER THE PROBLEMS IN THIS EXAMINATION. WHEN YOU START, MAKE SURE YOUR EXAM H

7.2
Comparing Two Means
two-sample problems are among the most commonly encountered in statistics compare control group and treatment group Two-sample problems the goal of inference is to compare the responses in two groups each group is considered to be

5.1
Sampling Distributions for Counts and Proportions
link between Chapter 4 (probability theory) and rest of book Statistical inference draws conclusions about a population or process on the basis of data. The data are summarized by statistics such as me

7.1
Inference for the Mean of a Population
the sampling distribution of x depends on when is unknown, we must estimate even though we are primarily interested in the sample standard deviation (s) is used to estimate the population standard deviation ()
)

4.2
Probability Models
probability model- a description of a random phenomenon in the language of mathematics the description of a random variable has two components: a list of possible outcomes a probability for each outcome The sample space S of a rando

4.3
Random Variables
random variable- a variable whose value is a numerical outcome of a random phenomenon toss coin 4 times- could record outcome as string of heads and tails (HTTH) let X be number of heads- X=2 (X is random variable) Discrete random var

4.4
Means and Variances of Random Variables Mean of a discrete random variable
Suppose that X is a discrete random variable whose distribution is Value of X Probability x1 x2 x3 xk p1 p2 p3 pk
To find the mean of X, multiply each possible value by its pro

4.5
General Probability Rules Previous Probability Rules
1) The probability P(A) of any event A satisfies 0 P(A) 1. 2) All possible outcomes together must have probability 1. P(S) = 1. 3) Two events A and B are disjoint if they have no outcomes in common

5.2
The Sampling Distribution of a Sample Mean
Figure 5.8 averages are less variable than individual observations averages are more normal than individual observations The mean and standard deviation of x x = mean of sample, = mean of population , 2 = pop

6.1
Estimating with Confidence
those who took the SAT math in 2003: mean= 519, sd= 115 give test to SRS of 500 California students: x = 461 (math) What can you say about the mean score in population of 385,000? x is an unbiased estimator of ( x = ) but ho

6.2
Tests of Significance
EX 1 borrowers at private 4-year college: mean debt ( a )= $21,200 (survey result) borrowers at public 4-year college: mean debt ( b )= $17,100 (survey result) the difference $4100 ( a - b ) is fairly large/ but these numbers are

8.1 recall from 5.1, when n is large:
Inference for a Single Proportion p ~ N (p, p (1 p ) ) n
Large-sample confidence interval for a population proportion Choose an SRS of size n from a large population with unknown proportion p of successes. The sample

Section Problems #13 Note that there are four problems on this problem set. #1) TestScore = 690 - 4.1 * STR (12.2) (1.9) n= 600
a) In the regression above, robust standard errors appear in parentheses. Calculate the test statistic for the test of H0: 1 =