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MATH 131
Formulas for Test 3
Confidence Intervals:
o s
E=Zc- E=tc E=Z H
J; n c n
2
Sample Size: n = [Zcoj
E
Testing Hygothesis: Z = Y-H t: 35
0' S
J; J;
2
Chi-Sguare: II = 2%
Goodness
MATH 131
8/11
TEST 2 REVIEW SHEET
Links to pencast solutions to selected problems are boxed next to these problems. Written answers to all
problems can be found at the end of the review sheet.
Importa
MATH 131
TEST 3 REVIEW SHEET
8/11
Important terms and phrases: To locate these terms in the book, please use the index at the
back of the book.
c, level of confidence
Critical values
E, Margin of Erro
09/14
MATH 131
Formulas for Test 2
Multiplication Rule
If events A and B are independent, then
P A and B P A P B
If events A and B are dependent, then
P A and B P A P BA
Addition Rule
If events A a
MATH 131
8/11
TEST 1 REVIEW SHEET
Links to pencast solutions to selected problems are boxed next to these problems. Written answers
to all problems can be found at the end of the review sheet.
Importa
Math 131
Test 3 Study Guide
Page 1 of 12
Math 131
Test 3 Study Guide
1. A teacher wanted to see the relationship between number of absences and performance in the
course. She collected a small data se
MATH 131
Test 2 Study Guide
1. The probability that a person in the United States has type AB positive blood is 8.61%. Three unrelated
people in the United States are chosen at random.
a. Find the pro
UNIT 3 SUMMARY CONFIDENCE INTERVAL AND HYPOTHESIS TESTING
Confidence Interval
For Population mean()
n > 30
Hypothesis Testing(always state
For Population
Proportion(p)
n < 30
For Population mean()
Chi
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MATH 131
Formulas for Test 1
Formula for Mean
From raw data
x
x
n
(where n f )
From a frequency distribution
x
or
x
N
x f
n
Formula for Standard Deviation
From raw data
s
(x x)
2
n 1
or
(x )
MATH 131
8/16
Lab 2
Kelly Williams
The goal of this lab is to organize your data from Lab 1 into frequency distributions and graphs.
Graphs should be made by hand, using a ruler.
Part 1: V1, Qualitati
MATH 131 Unit 2
Class Activity 1
8/16
Data from the World Health Organization represents countries in terms of poverty and life
expectancy in the following table.
Percentage of Country Living in Pover
Math 131
Section 2.4
Section 2.4 Measures of Variation
Determine the range of a data set
Determine the variance and standard deviation of a population and of a sample
Use the Empirical Rule and Che
Math 131
Section 1.3
Section 1.3 Experimental Design
Discuss sampling techniques
Section 1.3
Page 1
Section 1.3 Experimental Design
Sampling Techniques
A sampling is a count or measure of part of a p
Math 131
Section 7.3
Section 7.3 Hypothesis Testing for the Mean (Small Samples)
Find critical values in a t-distribution
Use the t-test to test a mean
Use technology to find P-values and use them
Math 131
Section 2.3
Section 2.3 Measure of Central Tendency
Determine the mean, median, and mode of a population and of a sample
Determine the weighted mean of a data set and the mean of a frequenc
Math 131
Sections 3.3 & 3.4
Section 3.3 The Addition Rule
Determine if two events are mutually exclusive
Use the Addition Rule to find the probability of two events
Section 3.4 Additional Topics in
Math 131
Section 10.2
Section 10.2 Independence
Contingency Tables
o
o
o
o
Cell
Marginal Frequencies
Sample size
Finding Expected Frequencies
The Chi-Square Test for Independence
o Performing a Chi-
Math 131
Section 9.1
Section 9.1 Correlation
Overview of Correlation
o
o
o
o
Bivariate data
Dependent and Independent Variables
Correlation
Scatter Plot
Positive, Negative, and No Linear Correlation
Math 131
Section 7.1
Section 7.1 Introduction to Hypothesis Testing
Hypothesis Test
Stating a Hypothesis
o The Null and Alternative Hypothesis
Types of Errors and Level of Significance
o Type I and
Math 131
Section 10.1
Section 10.1 Goodness-of-Fit
2
The Chi-Square Goodness-of-Fit Test
o
o
o
o
o
o
Section 10.1
Multinomial Experiments
Category Data
Observed Frequency O
Expected Frequency E
The C
Math 131
Section 2.5
Section 2.5 Measures of Position
Determine the quartiles of a data set
Determine the interquartile range of a data set
Create a box-and-whisker plot
Interpret other fractiles such
Math 131
Section 7.2
Section 7.2 Hypothesis Testing for the Mean (Large Samples)
Using P-values to make Decisions
o Decision Rule Based on P-value
o Finding a P-value for a Hypothesis Test
Left-Tail
Math 131
Section 2.1
Section 2.1 Frequency Distributions and Their Graphs
o Constructing a Frequency Histogram (Broken axis)
Broken Axis
With Class Boundaries
With Class Midpoints
o Constructing Re
Math 131
Section 9.2
Section 9.2 Linear Regression
Find the equation of a regression line
Predict y-values using a regression equation
Section 9.2
Page 1
Regression lines
After verifying that the l
Math 131
Sections 1.1, 1.2
Breakdown of Courses
Unit
1
2
3
Model
Descriptive (Basic) Statistics
Probability & Probability Distributions
Inferential Statistics
Chapters
1&2
3, 4, & 5
6, 7, 9, & 10
1. D
Math 131
Section 3.1
Section 3.1 Basic Probability Concepts and Counting
Identify the sample space of a probability experiment
Identify simple events
Use the Fundamental Counting Principle
Disting
Math131
Section 3.2
Section 3.2 Conditional Probability and the Multiplication Rule
Determine conditional probabilities
Distinguish between independent and dependent events
Use the Multiplication R
Math 131
Section 2.2
Section 2.2 More Graphs and Displays
Graph quantitative data using stem-and-leaf plots
Graph qualitative data using pie charts and Pareto charts
Section 2.2
Page 1
Graphing Quan
Christina Apuzzo
Statistics 131
Lab One
23 February 2016
1. The question I am answering in my study is if the type of dog affects how long until they
are adopted. I anticipate finding if the breeds we
Exam Guideline
*Show all your work*
1.
The percentage of unemployed workers in each of 20 randomly selected cities
are as follows:
3.1
5.4
4.5
3.8
8.2
7.2
1.4
3.8
6.3
4.6
1.8
7.2
2.4
2.5
8.8
4.8
a) Ca