Download STAT 2300: Unit 2 Learning Objectives Spring 2017

STAT 2300: Unit 2 Learning Objectives
Spring 2017
Unit tests are written to evaluate student comprehension, acquisition, and synthesis of these skills. The
problems listed as Assigned MyStatLab Problems are textbook exercises that appear in the assigned
MyStatLab homework. Problems marked with an asterisk (*) are from a supplementary textbook and not
the Sullivan text. The problems listed as Additional Suggested Problems are good practice problems
which are located in the Sullivan text and can be viewed from the Chapter Contents within MyStatLab.
Detailed solutions to the odd-numbered exercises and all solutions to the Chapter Reviews and Chapter
Tests can be found in the Student's Solutions Manual under Chapter Contents in MyStatLab.
Chapter 5: Probability (continued from Unit 1)
Section 5.2: The Addition Rule and Complements
•
Use the Complement Rule to find the probability of the complement of an event.
•
Identify events that are mutually exclusive.
•
Determine the outcomes that make up the intersection of two events and the union of two events.
•
Use the Addition Rule to find the probability of the union of two events.
Assigned MyStatLab Problems: 5, 7, 9, 13, 15, 17, 19, 35, 45, *13.1.15
Additional Suggested Problems: 6, 8, 10, 11, Chapter 5 Review # 6, 7, 16a-e
Section 5.3: Independence and the Multiplication Rule
•
Identify events that are independent from the description of a probability experiment.
•
Use the Multiplication Rule for independent events to find the probability of the intersection of two
independent events.
•
Compute at-least probabilities by applying both the Multiplication Rule for independent events and
the Complement Rule.
Assigned MyStatLab Problems: 7, 9, 13, 32
Additional Suggested Problems: 15, 19, 23, 25, 27
1
Section 5.4: Conditional Probability and the General Multiplication Rule
•
Use the conditional probability formula to find the probability that an event will occur given that
another event has already occurred.
•
Use the General Multiplication Rule to find the probability of the intersection of any two events.
•
Use probability formulas to determine whether or not two events are independent.
Assigned MyStatLab Problems: 1, 3, 7, 9, 13, 29, 39, 43
Additional Suggested Problems: 17, 19, 21, 31, 35
Section 5.6: Putting It Together: Which Method Do I Use?
•
Determine the appropriate counting technique to use in a given scenario.
•
Determine the appropriate probability rule to use in a given scenario.
Assigned MyStatLab Problems: 21
Additional Suggested Problems: Chapter 5 Test #11, 16
Chapter 6: Discrete Probability Distributions
Section 6.1: Discrete Random Variables
•
Distinguish between discrete and continuous random variables.
•
Use a sample space to find the probability distribution of a discrete random variable.
•
Determine if a given probability distribution is a legitimate discrete probability distribution.
•
Calculate probabilities for events of interest from a discrete probability distribution.
•
Construct and interpret a probability histogram.
•
Compute and interpret the mean of a discrete random variable.
•
Interpret the mean of a discrete random variable as an expected value.
•
Compute the standard deviation of a discrete random variable.
Assigned MyStatLab Problems: 5, 7, 9, 15, 21, 25, 31, *14.1.32
Additional Suggested Problems: Chapter 6 Test #1 – 4
2
Section 6.2: The Binomial Probability Distribution
•
Determine whether a probability experiment is a binomial experiment.
•
Define the binomial random variable X, identify the number of trials n, identify the probability of
success p, and list the possible values of X in a given binomial experiment.
•
Compute probabilities for binomial experiments using the formula for binomial probabilities.
•
Construct binomial probability histograms.
•
Use JMP to find probabilities for events of interest in a binomial experiment.
•
Compute the mean and standard deviation of a binomial random variable.
•
Apply the rule of thumb to determine if a binomial probability distribution is bell-shaped.
•
Use the mean, standard deviation, and Empirical Rule to check for unusual results in a binomial
experiment.
Assigned MyStatLab Problems: 7, 9, 11, 17, 29, 35, 41, 44, 47, 57, 59
Additional Suggested Problems: Chapter 6 Test #6 – 9
Chapter 7: The Normal Probability Distribution
Section 7.1: Properties of the Normal Distribution
•
State the properties of probability distributions for continuous random variables.
•
Understand that the normal distribution is an example of a continuous probability distribution.
•
State the properties of the normal and standard normal probability distributions.
•
Sketch the graph of a normal curve with a given mean and standard deviation.
•
Explain the role of area in the normal density function.
Assigned MyStatLab Problems: 7, 19, 24, 25, 31
Additional Suggested Problems: 20, 22, 23, 27, 33
3
Section 7.2: Applications of the Normal Distribution
•
Use the normal table to find probabilities for given Z values.
•
Find Z values corresponding to given probabilities.
•
Calculate and interpret the z-score for an observation from a normal distribution with a given mean
and standard deviation.
•
Find probabilities for a normally distributed random variable by transforming it into a standard
normal random variable.
•
Find specific values of a normally distributed random variable corresponding to given probabilities.
•
Solve problems involving normally distributed random variables in real-life applications.
Assigned MyStatLab Problems: 2, 5, 7, 9, 13, 15, 17, 19, 23, 25, 27, 33, 39, 42, 49, 51
Additional Suggested Problems: Chapter 7 Review #2 – 10 & 12
Section 7.3: Assessing Normality
•
Use a normal probability plot to assess normality.
•
Use JMP to construct a normal probability plot.
Assigned MyStatLab Problems: 3, 11
Additional Suggested Problems: Chapter 7 Review #14 – 16
Chapter 8: Sampling Distributions
Section 8.1: Distribution of the Sample Mean
•
Define the sampling distribution of a sample statistic.
•
State the Central Limit Theorem.
•
Describe the sampling distribution of the sample mean including its shape (whether or not it is
approximately normal), its center (mean of μ), and its spread (standard error of σ/√n ).
•
•
Interpret the standard error of a sampling distribution.
Compute probabilities of a sample mean in application problems.
Assigned MyStatLab Problems: 3, 8, 17, 21, 29, 31
Additional Suggested Problems: Chapter 8 Test #2 – 4
4