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QUAN 2010 Notes:
Introduction to Business Statistics
Omar Ortega
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Front Matter
1
Introduction to Business Statistics
1.1
Introduction to Statistics
1.1.1
Branches of Statistics:
1.1.2
Definitions and Terms
1.2
Types of Data
1.2.1
Levels of Measurement
2
Displaying Data
2.1
Quantitative Data Displays
2.1.1
Creating Histograms in Excel
2.1.2
Grouped Quantitative Data
2.1.3
Shapes of Histograms
2.1.4
Scatter Plots
2.2
Qualitative Data Displays
2.2.1
Contingency (Pivot) Tables
2.3
Misleading Visual Displays of Data
2.3.1
Things to watch for in visual displays of data
3
Descriptive Statistics
3.1
Measures of Central Tendency
3.2
Measures of Variability
3.3
Using the Mean and Standard Deviation Together
3.3.1
The Empirical Rule
3.4
Measures of Relative Position
3.5
Measures of Association Between Two Variables
4
Probability
4.1
Introduction to Probability
4.2
Independent and Dependent Events
5
Discrete Probability Distributions
5.1
Random Variables
5.2
Descriptive Statistics for a Discrete Probability Distribution
5.3
Binomial Distribution
5.4
Poisson Distribution
6
Introduction to Sampling
6.1
Types of Sampling
6.2
Errors in Sampling
7
Continuous Probability Distributions
7.1
The Normal Distribution
7.1.1
Characteristics of the Normal Probability Distribution:
7.1.2
Examples of Normal Probability Distributions:
7.1.3
The Standard Normal Distribution:
7.1.4
Calculating Probabilities for Normal Distributions:
7.1.5
Finding
\(Z\)
or
\(X\)
if we have information about a probability:
7.1.5
Exercises
7.2
The Exponential Distribution
7.2.1
Differences between the Exponential and Normal Distributions
7.2.2
Computing Probabilities for the Exponential Distributions
7.3
The Uniform Distribution
8
Sampling Distributions
8.1
Sampling Distribution of the Mean
8.2
The Central Limit Theorem
8.3
The Sampling Distribution of the Proportion
9
Confidence Intervals
9.1
Point Estimates
9.2
Confidence Intervals for the Mean (
\(\sigma\)
known)
9.3
Interpreting Confidence Intervals
9.4
Confidence Intervals for the Mean (
\(\sigma\)
unknown)
9.4.1
The Student’s
\(t\)
-Distribution
9.4.2
Confidence Interval When
\(\sigma\)
is Unknown
9.5
Confidence Intervals for Proportions
9.6
Determining Sample Size
10
Hypothesis Testing for a Single Population
10.1
Introduction to Hypothesis Testing
10.2
The Nuts and Bolts of Hypothesis Testing
10.2.1
The Logic of Hypothesis Testing
10.2.2
Two approaches to Hypothesis Testing
10.3
Type I and Type II Errors
10.4
Hypothesis Testing for
\(\mu\)
When
\(\sigma\)
is Unknown
10.5
Hypothesis Testing for the Population Proportion
11
Hypothesis Tests for the Population Variance
11.1
The Chi-square Distribution
11.2
Hypothesis Test for a Single
\(\sigma^2\)
11.2
Exercises
11.3
The
\(F\)
-Distribution
11.4
Comparing Variances from Two Populations
11.4
Exercises
12
Hypothesis Tests Comparing Two Populations
12.1
Overview
12.2
Comparing Two Means with Independent Samples
12.3
Two Dependent Samples
12.4
Two Proportions with Independent Samples
13
Introduction to Regression Modeling
13.1
Correlation Analysis
13.2
Developing a Regression Model
13.3
Using Regression to Make a Prediction
13.4
Diamonds Modeling
Backmatter
Colophon
Colophon
This book was authored in PreTeXt.
