Math 160 - Cooley
Intro to Statistics
OCC
Section 4.4 Contingency Tables; Joint and Marginal Probabilities
Univariate Data
Data from one variable of a population.
Bivariate Data
Data from two variable of a population.
Contingency Table (or Two-way table)

Math 160 - Cooley
Intro to Statistics
OCC
Section 6.5 Normal Approximation to the Binomial Distribution
Recall the formulas from Section 5.3:
Binomial Probability Formula :
n
P( X x) p x q n x , x = 0, 1, 2, , n.
x
np and
Mean and Standard Deviation of

Math 160 - Cooley
Intro to Statistics
OCC
Section 10.1 Sampling Distribution of the Difference Between Two Means
Population 1
Population 2
Population Mean
1
2
Population Standard Deviation
1
2
Sample Mean
x1
x2
Sample Standard Deviation
s1
s2
Sample Size

Math 160 - Cooley
Intro to Statistics
OCC
Section 9.1 The Nature of Hypothesis Testing
Hypothesis : A statement that something is true.
Null Hypothesis H0 : The statement being tested in a statistical test. The test is designed to assess the strength of
t

Math 160 - Cooley
Intro to Statistics
OCC
Section 14.1 Linear Equations with One-Independent Variable
y-Intercept and Slope
For a linear equation y b0 b1 x , the number b0 is called the y-intercept and the number b1 is called the slope.
Slopes:
y
y
x
Posi

Math 160 - Cooley
Intro to Statistics
OCC
Section 8.3 Confidence Intervals for One Population Mean When Is Unknown
In Section 8.2, we learned how to determine a confidence interval for a population mean, , when the population
standard deviation, , is know

Math 160 - Cooley
Intro to Statistics
OCC
Section 7.1 Sampling Error; the Need for Sampling Distributions
Sampling Error
Sampling Error is the error resulting from using a sample to estimate a population characteristic.
Sampling Distribution of the Sample

Math 160 - Cooley
Intro to Statistics
OCC
Section 1.2 Simple Random Sampling
Census Obtaining information for the entire population of interest.
Representative sample A sample that reflects as closely as possible the relevant characteristics of the
popula

Math 160 - Cooley
Intro to Statistics
OCC
Section 13.1 Chi-Square Distribution
Basic Properties of 2-Curves
Property 1: The total area under a 2-curve equals 1.
Property 2: A 2-curve starts at 0 on the horizontal axis and extends indefinitely to the right

Math 160 - Cooley
Intro to Statistics
OCC
Section 1.1 Statistics Basics
Descriptive Statistics Descriptive statistics consists of methods for organizing and summarizing information.
This includes the construction of graphs, charts, and tables and the calc

Math 160 - Cooley
Intro to Statistics
OCC
Section 10.1 Sampling Distribution of the Difference Between Two Means
Population 1
Population 2
Population Mean
1
2
Population Standard Deviation
1
2
Sample Mean
x1
x2
Sample Standard Deviation
s1
s2
Sample Size

Math 160 - Cooley
Intro to Statistics
OCC
Section 2.1 Variables and Data
VARIABLES
Variable A characteristic that varies from one person or thing to another.
Qualitative variable A non-numerically valued variable.
Quantitative variable A numerically value

Simple Linear Regression: Interpreting Minitab Output
The Simple Linear Regression Model
The following analysis utilizes the Beers and BAC data.
The Minitab regression output has all of its essential features labeled.
It is important that you can under

Final Exam Review Problems- HESC 349
1. The EPA is interested in the fuel consumption of cars. They calculate the
highway fuel economy (miles per gallon) of 6 BMW car models:
27 23 28 28 21 26
Find the mean, median, standard deviation, coefficient of vari

Practice Problems for the Central Limit Theorem
HESC 349
1. The scores of 12th grade students on the National Assessment of Educational
Progress year 2000 mathematics test have a distribution that is approximately
normal with mean = 300 and = 35. We take

Quiz 4 HESC 349
For all calculations, keep two decimal points for each calculation step and for the
answer. However, when looking for probabilities or values from a table, keep four
decimal places, just like the tables.
For Q1-3: Recommendations on how lo

HESC 349 Midterm 1 Review problems
1. For the following numbers calculate the
a. Mean
b. Median
c. Mode
d. Variance
e. Standard deviation
f. Range
g. CV
97 84 73 77 91 93 77 88 83
2. A multiple choice question on a test has five answers. If a student choo

Practice Problems Lectures 5 and 6
HESC 349 keep 2 decimal places
1. A die is rolled once. What is the probability that
a) a number less than 5 is obtained?
b) a number 3 to 6 is obtained?
2. A researcher surveys 100 adults from the United States and 100

Practice problems lecture 5
ANSWERS IN BOLD
1. A die is rolled once. What is the probability that
a) a number less than 5 is obtained? = .67
b) a number 3 to 6 is obtained? = .67
2. A researcher surveys 100 adults from the United States and 100 adults fro

HESC 349 Midterm 1 Review problems ANSWERS
1. For the following numbers calculate the
a. Mean =84.8
b. Median=84
c. Mode=77
d. Variance = 66.2
e. Standard deviation=8.1
f. Range=24
g. CV=9.6%
97 84 73 77 91 93 77 88 83
2. A multiple choice question on a t

Math 160 - Cooley
Intro to Statistics
OCC
Section 2.4 Distribution Shapes
Distribution of a Data Set The distribution of a data set is a table, graph, or formula that provides the values
of the observations and how often they occur.
Relative-frequency his

Math 160 - Cooley
Intro to Statistics
OCC
Section 9.3 P-Value Approach to Hypothesis Testing
Suppose from the previous section, we perform a hypothesis test using the critical value approach. From the test,
we can conclude that we can reject the null hypo

What is a p-value?
A p-value is a measure of how much evidence we have against the null hypothesis .
The null hypothesis, traditionally represented by the symbol H0, represents the
hypothesis of no change or no effect.
The smaller the p-value, the more ev