STAT 3128 Homework # 3 Spring 2013 Instr. Sonin
Due Wednesday, February 7
(25 + 5
NAME_
5 points) Show all work on problems !
(3) 1. In the . Lotto, you may pick six different numbers from the set
54 If all six of your numbers are randomly selected from 5
STAT 3128 Homework # 2 Spring 2013
Due Monday, February 11
(25 + 5
Instr. Sonin
NAME_
5 points) Show all work on problems !
(5) 1. A committee of three people is to be chosen from four married couples.
a) How many different committees are there?
b) What i
STAT 3128
HW # 4 Solutions Spring 2013
Due Wednesday, March 20
Instr. Sonin
NAME_
(25 + 5 points) Show all work on problems !
(5) 1. p.
[1 5] # 58. Please read subsection 16.6, pp. 6
6
.
Change:.select 10 components .to: select 25 . and. accept the batch
STAT 3128 Test #1 Solutions Spring 2013 Instr. Sonin
NAME_
(50 + 5) Show all work on problems ! You can use formula sheet !
(7) 1. The table below shows the results of a study on 175 people in which researchers
examined the relationship between the presen
STAT 3128 HW # 2 Solutions Spring 2013 Instr. Sonin
Due Monday, February 11
(25 + 5
NAME_
5 points) Show all work on problems !
(5) 1. A committee of three people is to be chosen from four married couples.
a) How many different committees are there?
8
3
8
Stat 3128 Section 1.1
Section 1.1 Overview of Statistics
Data:
Statistics:
2 Major Branches of Statistics:
Descriptive Statistics:
Inferential Statistics:
Example: A large sample of men, aged 48, was studied for 18 years. For unmarried men, approximately
Stat 3128 Section 2.3
Section 2.3 Counting Techniques
Multiplication Rule:
Example:
1. A probability experiment consists of rolling a dice and tossing a coin.
Coin Toss
H
T
Rolling a Dice
1
2
3
4
5
6
2. There are 100 U.S. Senators. How many different ways
Stat 3128 Section 1.4
Section 1.4 Measures of Variation
Range:
Deviation is the difference between a data entry and mean:
Data (x)
5
6
7
8
9
Population: The collection of all outcomes, responses, measurements or counts that are of interest.
Sample: A subs
Stat 3128 Section 2.2
Section 2.2 Axioms & Properties
1.
( )
( )
2.
3.
P( E )
AllEvents
and (
4. If A and B are mutually exclusive:
5. General Addition Rule: (
)
( )
( )
(
6. If A and B are mutually exclusive events, then (
7.
(
8.
( )
)
( )
( )
( )
(
)
Stat 3128 Section 2.5
Section 2.5 Independence
Two events are independent if the occurrence of one event does not affect the occurrence of the other event.
Example: In a deck of cards, are Jacks and Hearts independent?
Page 1
Liz Ajazi
Stat 3128 Section 2
Stat 3128 Section 1.2
Section 1.2 Descriptive Statistics
Histogram:
Frequency Polygon:
Ogive: cumulative frequency line graph
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Liz Ajazi
Stat 3128 Section 1.2
Frequency Distribution:
Example:
Given the following final grades of a Statistics class, d
Stat 3128 Section 2.4
Section 2.4 Conditional Probability
Conditional Probability: Probability of an event occurring given that another event already occurred.
P(AB) =
Example: (

)
P(AB) =
P(BA) =
Tree Diagram:
C
A
D
E
B
F
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Liz Ajazi
Stat 3128
Stat 3128 Section 3.1
Section 3.1 Random Variables
For a given sample space S of some experiment, a
is any rule that
associates a number with each outcome in S.
Notation:
Any random variable whose only possible values are 0 and 1 is called a
Example 3.4 p
Beforeclass  . 
_,._._v._._.~_.r.t.m.Hamm.
7.4: Other Condence Intervals
Back in chapter 3 we talked briefly about the expected value and variance of a linear
function of a random variable X. Lets go back over the concept.
Let X be a continuous rand
STAT 3128: Formulas and Tables
P (AB) =
2
s =
P
P (A B)
P (B)
P (A B) = P (A) + P (B) P (A B)
P
X
X
( xi ) 2
2
2
(xi x) =
xi
n
n
For X B(n, p), b(x) =
(p)x (q)nx
x
(x)2
1
For X N (, 2 ), f (x) =
e 22
2
1
AxB
BA
For X U [A, B], f (x) =
0
otherwise
(
8.3: The OneSample t Test
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Remember that if X1, X2, . . . , Xn is a random sample from a normal distribution,
T .= 35
" ' ' , t T
.or Hypotheses about a Population Mean X 2H7. in
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1.3 8: 1.4: Measures of Location and Variability
E o Give a formula for calculating sample mean (5:). E
E n  .
wwwm = 5% . a;
g V\ C = E
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5
E a Give a formuia for calculating sample median (5:).
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7.1 & 7.2: Confidence Intervals
Before class:
Well need three things for this section, and all of them should be fresh on your mind after
the last test:
1. A clear understanding of point estimates
2. The knowledge that for normally distributed data (with
9.1: 2 Tests and 015 for a difference between two means
No quiz today.l
Consider the following information on the heights (in inches) for nonHispanic white fe
males:
Age Sample Size Sample Mean Sample Standard Deviation
X 2939 866 64.9 = 77 2.6485
( 60 a
9.4: Differences between Population Proportions
Example: .A government agency studying science and dngineering education is testing
the null hypothesis that the proportion of graduates who will continue on to graduate school
is the same for electrical and
7.3: Intervals based on a normal distribution
No before class work! Enjoy your brief respite!
So far we have constructed confidence intervals for the following cases:
1. n is large (n > 40), so that X is normal
2. n isnt large, but X ~ N(,u,02) and cr is
3.3: Expected Values
. Expected value is dened in your book as
=5xxzmei =/4
wED
i
where X is a discrete rv with set of possible values D and pmf 39(3).
. Let's see if we can make sense of the above definition. Imagine you go to a party
where door prizes
i .
2.4 8: 2.5: Conditional Probability and Independence
0 Explain the idea behind conditional probability, and give the notation for the proba
bility that event A has occurred given that event B has occurred. :
Some/1mm Ha fact ,th m1 ,3 W (KW/m), :
I
Stat 3128 Section 1.3
Section 1.3 Measures of Location
3 Most common measures of central tendency:
Mean
Median
Mode
Mean:
Sample Mean
Population Mean
Example: In a certain city the number of power outages in each of the last 10 months are:
3, 7, 5, 1, 2,
Stat 3128 Section 2.1
Section 2.1 Basic Concepts of Probability
Probability Experiment:
Outcome:
Sample Space:
Event:
Properties of Probability:
1.
2.
( )
P( E ) 1
AllEvents
Page 1
Liz Ajazi
Stat 3128 Section 2.1
Example:
Event: Roll a pair of dice
Sampl
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