Download STAT 3090 – Unit 2 Skill Set*

STAT 3090 – Unit 2 Skill Set*
Chapter/Section of
Computer Analysis
Text
(Minitab and/or Excel) **
Chapter 6: Discrete Probability Distributions: Information about the Future
Identify and define the random variable of an
Chapter 6
experiment
Identify the possible values of a random variable
Chapter 6 – Section 6.1
Identify a random variable as discrete or continuous Chapter 6/Chapter 7
Recognize the properties of a discrete probability
Chapter 6 – Section 6.2
distribution
Calculate probability of events such as at most, at
least, more than, less than, etc. from a discrete
Chapter 6
probability distribution table, graph, or formula
Calculate and interpret the expected value of a
Chapter 6 – Section 6.3
discrete random variable
Calculate and interpret the variance/standard
Chapter 6 – Section 6.3
deviation of a discrete random variable
Recognize the properties of a binomial experiment
Chapter 6 – Section 6.5
Identify the random variable, number of trials (n),
and probability of success (p) for a binomial
Chapter 6 – Section 6.5
experiment
Calculate probabilities using the binomial formula
Chapter 6 – Section 6.5
Excel
Calculate and interpret the expected value of a
Chapter 6 – Section 6.5
binomial random variable
Calculate and interpret the variance/standard
Chapter 6 – Section 6.5
deviation of a binomial random variable
Recognize the properties of a Poisson experiment
Chapter 6 – Section 6.6
Excel
Calculate probabilities using the Poisson formula
Chapter 6 – Section 6.6
Calculate and interpret the expected value, variance,
Chapter – Section 6.6
and standard deviation of a Poisson random variable
Chapter 7: Continuous Random Variables
Calculate probabilities of a range of continuous
random variables by finding the area under a
Chapter 7
function
Calculate probabilities of a continuous uniform
Chapter 7 – Section 7.1
random variable
Calculate the mean and standard deviation of a
Chapter 7 – Section 7.1
continuous uniform random variable
Find probabilities of a range of standard normal
random variables (Z) based from the standard
Chapter 7 – Section 7.3
normal table
Recognize the properties of a Standard Normal
Chapter 7 – Section 7.3
Random Variable (Z)
Calculate the value of the standard normal random
variable (Z) based on a given percentage or
Chapter 7 – Section 7.3
probability
Skill
Calculate probabilities of a range of Normal Random
Chapter 7 – Section 7.3
Variables (X) by first calculating z-scores
Calculate the value of the normal random variable
Chapter 7 – Section 7.3
(X) based on a given percentage or probability
Chapter 8: Samples and Sampling Distribution
Identify a sample as a simple random sample
Chapter 8 – Section 8.1
Recognize the point estimators for population mean
Chapter 8
and population proportion
Define an unbiased estimator
Chapter 8 – Section 8.3
Calculate the standard deviation of the sampling
distribution of the sample mean (standard error) of
Chapter 8 – Section 8.3
an infinite population
Recognize the characteristics of the sampling
Chapter 8 – Section 8.3
distribution of sample mean
Explain the central limit theorem
Chapter 8 – Section 8.3
Calculate probability of a range of sample means
Chapter 8 – Section 8.3
using sampling distribution of sample mean
Calculate the value of a sample mean based on a
given probability using sampling distribution of
Chapter 8 – Section 8.3
sample mean
Calculate the standard deviation of the sampling
distribution of the sample proportion (standard
Chapter 8 – Section 8.4
error) of an infinite population
Recognize the characteristics of the sampling
Chapter 8 – Section 8.4
distribution of sample proportion
Calculate probability of a range of sample
proportions using sampling distribution of sample
Chapter 8 – Section 8.4
proportion
Calculate the value of a sample proportion based on
a given probability using sampling distribution of
Chapter 8 – Section 8.4
sample proportion
Describe the sampling distribution of sample mean
or sample proportion by stating the shape (whether
Chapter 8
or not its normal), the mean and the standard
deviation
Recognize that as the sample size is larger the
Chapter 8
sampling distribution has less variability
*Students should expect at least one question on tests that requires synthesis of these skills
**Skills with the indication of Minitab and/or Excel should be learned without the use of computers as well as
using the statistical analysis software indicated.