Chapter 10: Sampling Distributions
What is a sampling distribution?
The sampling distribution is the theoretical probability distribution of the values of a statistic that results when
all possible ra
Sections 10-3 and 10-4: The Central Limit Theorem
Recall: The objective of statistics is to make decisions (or inferences) about populations in light of variation.
To accomplish this, we sample and th
Confidence Intervals for
Interval Estimation
An interval estimate of a population parameter consists of two bounds L and U within which the parameter is
estimated to lie:
where L is the lower bound a
1-Proportion Hypothesis Tests: For use with Binomial Experiments
Chapter 11: Testing Hypotheses about proportions
Comparing a population proportion to some standard:
HA: population proportion greater
Types of Hypothesis Testing:
For the following examples, c represents any constant.
I. One-sided Alternative
a. Greater Than
H:
A
H:
0
b. Less Than
H:
A
H:
0
II. Two-Sided Alternative
H:
A
H:
0
Altern
Summary of the Hypothesis Tests run in Math 3340
Chapter 13: Testing Hypotheses (1-sample tests)
1-proportion test
Comparing a population proportion to some standard:
HA: population proportion greater
Chapter 14: Testing Differences between Two Population Means
(The data utilized in this document is found in the Minitab file on Blackboard entitled: Chapter 14
Examples.MTW
I. Comparison of the means
Introduction to Hypothesis Testing
I.
Fundamentals of Hypothesis Testing
Most people want to make the proper decision when solving problems or performing research. There are times
that we are required
Which type of test should I run? (Paired t-test vs. 2 Sample Independent t-test)
1. The management of Discount Furniture designed an incentive plan for salespeople. To evaluate this
innovative plan, 1
Which test should I run?
1. A farmer is concerned that a change in fertilizer to an organic variant might change his crop yield. He
subdivides 6 lots and uses the old fertilizer on one half of each lo
Chapter 15 Inference for Counts: Chi-Square Tests
Hypothesis tests covered in Chapter 15
Comparing two population proportions:
HA: population proportion 1 greater than population proportion 2
HA: popu
For each of the following problems:
Classify the problem as 1-Proportion, 2-Proportion, Chi-Square Goodness of fit, or Chi-Square test for
independence.
a. Determine the research hypothesis.
b. Deter
Chapter 15 Inference for Counts: Chi-Square Tests
Section 15-6: The Chi-Square Test of Independence
These tests are run to compare two categorical variables. You will use them often in survey analysis
Chapter 6: Correlation and Linear Regression
WHENEVER YOU BEGIN TO INVESTIGATE THE RELATIONSHIP BETWEEN TWO VARIABLES, START THE
INVESTIGATION BY LOOKING AT A SCATTER-PLOT.
Scatter-plots
A scatter plo
Chapter 16 Notes:
HYPOTHESIS TEST (Inference for Regression)
Is the Y variable related to the X variable?
HA: 0
[Y is related to X.]
Ho: = 0
[Y is not related to X.]
We assume there is no relationship
Chapter 18 - Multiple Regression
Linear Regression Model:
b0 is the y-intercept of the least squares regression line.
b1 is the slope of the least squares regression line.
Multiple Regression Model:
E
Chapter 21: The Theory behind ANOVA (Analysis of Variance)
When we need to compare more than 2 sample averages, the correct method to do so is to use Analysis of
Variance (ANOVA).
The hypotheses when
Chapter 11: Confidence Intervals for p (the true population proportion)
Note: this is for use with binomial random variables.
The number of sample observations with the characteristic of interest in a