Chapter 5
5.2: Large-Sample Confidence Intervals for Population Mean
Confidence Interval an interval that is constructed that is likely to cover the population mean
o
P( X z n X z n ) =
z the z-value that corresponds to
the confidence level in decimal

Chapter 3
3.1: Basic Ideas
Probability the study of randomness
Experiment a process that results in an outcome that cannot be predicted in advance with
certainty
Sample space the set of all possible outcomes
o Example: Roll a die
S = cfw_1, 2, 3, 4, 5

Chapter 6: Hypothesis Tests for a Single Sample
6.1: Large-Sample Tests for a Population Mean
Hypothesis test produces a number between 0 and 1 that measures the degree of certainty that
the hypothesis is true
Null hypothesis states that the effect indi

Chapter 4
4.1: The Binomial Distribution
Bernoulli trial an experiment in which there are only two possible outcomes; one labeled
success, the other labeled failure
The probability of success is denoted by p
The probability of failure is therefore 1-p
B

Mean and Variance for Discrete Random Variables
Population mean the mean of a hypothetical sample that follows the
probability distribution perfectly
o x = xp(x)
Example: Toss a coin
x = xp(x)
x = 0(1/8) + 1(3/8) + 2(3/8) + 3(1/8)
x = 3/2
o The mean

Statistics the science of analyzing data
o The objective of statistics is to make inferences about a population based on the
information contained in a sample from that population and to provide an associated
measure of goodness for
1.1: Sampling
Popula

Ch. 4 Commonly Used Probability Distributions
Bernoulli Distribution:
A discrete RV has a Bernoulli distribution if
Binomial Distribution:
A discrete RV has a binomial distribution if all of the following are true:
1. Binomial outcomes
2. Independence
3

Ch. 3 Probability
Base Definitions:
Experiment
Sample space
Event
Examples:
1. Pick a card from a standard deck of 52
2. Count the number of dropped calls in 20 randomly selected calls.
3. Record the wait time when calling customer service.
Example: A