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Week 3 Concept Maps - Coggle Diagram
Week 3 Concept Maps
Chapter 8 - Introduction to Hypothesis Testing
Definition & Purpose
Using sample data to draw conclusions about a population.
Testing if a treatment has an effect on the population mean.
Four-Step Process
State the Hypothesis and select a
Null and Alt Hypothesis (H0 and H1)
Types of Errors
Effect Size
Power of Hypothesis Testing
Chapter 06 Probability
Definition of Probability
Fraction or Proportion of event A
Formula: P(A) = f/N f = frequency of event A N = total number of possible Outcomes
Random Sampling
Requirements for Random Sampling
Equal Chance
Specific Example
Probability of selecting a king from a deck = 4/52
Sampling with Replacement
All individuals have equal chance
Probability stays constant for each selection (sampling with replacement)
Restating Probability as Proportion
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Probability and Proportion
Relationship with Proportions in Frequency Distribution
Proportion of Area in Distribution
Normal Distribution
Unit Normal Table
Z-scores and Probabilities
Use table to find z-scores or probabilities
X to Z formula Transform z to X or X to z
Chapter 07 Distribution of Sample Means
Definition
Set of M values for all possible random samples of size n from a population
Shape, Central Tendency, and Variability
Shape of Distribution of Sample Means
Central Limit Theorem
Describes parameters of the distribution of sample means
Conditions for Normal Shape
Characteristics
Central Tendency
Mean and Expected Value of M
Mean (M) of sample means is equal to population mean (μ)
Identifying Expected Value of M Mean of Distribution of Sample Means
Z-scores and Probabilities
Z-scores and Probabilities
Using Z-scores
Finding Probabilities
Likely and Unlikely Sample Means
Using Unit Normal Table to find probabilities