Review Final Exam Math 1342
Chapter 1
1. Determine the type of sampling used (simple random, stratified, systematic, cluster,
convenience)
a. Households in a state are grouped by zipcode. 20 random zipcodes are
chosen and all households surveyed.
b. House
My course grade in the Math Lab is determined by my responsibility of attending each session,
staying on top of the daily assignments, and completing the three algebra quizzes (15%). For the Math
Class we are graded by completion of Stats Quizzes (15%), L
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Probability Experiment Any process with uncertain results that can be repeated
Trail - A single execution or instance of a probability experiment.
outcome The result of a single trial of the experiment, that is, the value measured, observed or reported fo
Chapter 5 Probability
5.1 Probability Rules
Objectives
1. Apply the rules of probabilities
2. Compute and interpret probabilities using the empirical method
3. Compute and interpret probabilities using the classical method
4. Use simulation to obtain data
Probability Experiment Any process with uncertain results that can be repeated
Trail - A single execution or instance of a probability experiment.
outcome The result of a single trial of the experiment, that is, the value measured, observed or reported fo
Chapter 9 Estimating the Value of a Parameter
9.1 Estimating a Population Proportion
Objectives
1. Obtain a point estimate for the population proportion
2. Construct and interpret a confidence interval for the population proportion
3. Determine the sample
Chapter 9 Estimating the Value of a Parameter
9.1 Estimating a Population Proportion
Objectives
1. Obtain a point estimate for the population proportion
2. Construct and interpret a confidence interval for the population proportion
3. Determine the sample
Exam 1 Chapters 1-3
*This is only a quick review* Up to us to review past information. Lots of vocabulary
1.1 Introduction to the practice of statistics (Many will be multiple choice questions)
Know how to define statistics
Population vs sample
Paramet
Chapter 4 Describing the Relation between Two Variables
4.1 Scatter Diagrams and Correlation
Objectives
1. Draw and interpret scatter diagrams
2. Describe the properties of the linear correlation coefficient
3. Compute and interpret the linear correlation
Draw a normal distribution
Study and Review Page 486-487-488
The average per capita spending on healthcare in the United Sates is $5274. If the standard deviation is
$600 and the distribution of health care spending is approximately normal, what is the pr
1
Exercise (2):
Use the formula above to find the variance and standard deviation of this sample: 5, -1, 3, 9,
10, 15, -4.
s2 = _
s =_
ii) There are other measures of variability. From a common sense point of view, the mean
absolute deviation has a lot of
1
Exercise (1):
Find each of the measures for the F-Troop data. For convenience, the data has been sorted
from smallest to largest. There were 653 boxes sold in total.
mean = _
median = _
mode = _
1- Measures of variability.
i) Standard Deviation (and its
1
Topic 1: Descriptive Statistics
Chapter 3: Numerical descriptive measures.
So far what we've done is just presentation of data, not mathematical analysis. One of the big pictures in Statistics: Sample statistics are used to
make inferences about the pro
1
2. The number of ways to choose x objects from a total of n objects, where the order in which
the x objects is listed does matter, is calculated using the permutation formula:
Exercise:
A team has total players of 12. In how many ways can the coach sele
f) P(
C
M
)=
g) P(M or N) =
Mutually Exclusive Events vs. Independent Events
Suppose P(A) = 0.30, P(B) = 0.2,0 and P(A or B) = 0.44.
a) What is P(A and B)? Stop, make no assumptions about events A and B in
answering.
b) Are A and B mutually exclusive even
This example introduces the idea of conditional probability.
P(AB) = P( A, given B) = P(A occurs, given that B occurs ( will occur, has occurred, etc.)
The axiom governing conditional probabilities is the general multiplication law:
6. P(A and B) = P(A)P(
Joint probability or contingency tables.
relationships between 2 or more variables.
These tables are used to analyze the
Smoking and gender. Suppose that the table below summarizes the results of a survey of
200 UNO students.
Smokers
Non-smokers
Totals
Ma
A subjective probability is calculated by drawing on personal or subjective judgment.
An empirical probability is calculated from data as a relative frequency of occurrence.
A classical probability is based on logical analysis.
A perhaps surprising part
Topic 2: Probability Theory
Reading for Lecture 3
Chapter 4: Introduction to Probability.
Probability is a way of assigning to an event a number that measures the likelihood that
the event will occur. Our main uses for probability:
1. The development of p
English word
set
connective
theoretic Common symbol
And
intersection
A
B
or (non-exclusive)
union
A
B
Not
complement
A C or A
Example: Flip three coins. Observe heads and tails.
What is the sample space in this experiment?
What sample points correspond to
DeVeaux
Chapter 13
Page 1 of 6
Investigative Task:
Non-experimental Studies
Question: How would you design a controlled experiment to test if second-hand smoke causes lung
cancer?
Forcesubjectstosmokefor30yearsandstudythepossibleeffectofsmokingontheir
lu
Chapter 13: Experiments and Observational Studies
Learning Objectives, when you complete Chapter 13 assignments, you should be able to:
Determine the design of statistical research
Construct and analyze research designs
Concepts
_
_
In this chapter, we co
DeVeaux
Chapter 14
Page 1 of 3
QUICK RECAP
1. Each occasion upon which we observe a random phenomenon is call a(n)
A. trial
B. event
C. probability
D. experiment
2. For independent trials, the Law of Averages states that as the number of trials increases,
TheComplementRule:The probability of an event occurring is 1 minus the probability that
the event does not occur. Symbolically: or
D) What is the probability that none of the first four customers gets a discount over 20%?
E) What is the probability that t
Disjoint(mutuallyexclusive) Two events are disjoint if they share no outcomes.
The
intersection of two disjoint sets, A and B is empty.
Independence Two events are independent if learning that one event occurs does not change
the probability that the othe
Chapter 14: From Randomness to Probability
Learning Objectives, when you complete Chapter 14 assignments, you should be able to:
Use the basic rules and definitions of probability
Use the addition rule or the multiplication rule for probability
Determine
As time permits
Example 4 Consider a deck of standard playing cards.
A) One card is drawn. What is the probability that it is an ace or red?
ThinkTheeventsaceandredarenotdisjoint.Therearetworedacesin
adeck.TheGeneralAdditionRulecanbeused.
ShowP(aceorred)=