STAT 344
Summer Session 2012
TAKE-HOME TEST
1. The number of stars in a given volume of space can be considered as a Poisson
random variable. The density in the Milky Way Galaxy is one star per cubic light years.
What is the probability that there will be
STAT 344
Final Exam - Formula Sheet
Chapter 5:
Joint Probability Distributions
The JPD function f ( x , y )
o
is
f ( x , y ) 0 for all ( x , y )
o
Tabitha King
f ( x , y ) dxdy =1
Marginal Probability Distributions
f x ( x )= f ( x , y ) dy
Marginal Di
STAT 344
Exam 2 - Formula Sheet
Tabitha King
Continuous Random Variable a random variable with an interval (either finite or infinite) of real
numbers for its range
Probability Density Function for a Continuous Random Variable for any P ( X=x )=0 and
P (
Difference Between Proportions & Variances
Lecture 25 Topics
Population proportion inference
Large sample vs. small sample procedures
Manual & Minitab methods
Randomization
Population variance inference
Lecture 25 Reference: Devore
Difference between p
Hypothesis and Test Procedures
Tests with known
and n determination.
Normal distributions and small samples.
Proportion tests with:
Large samples
Small samples
Reference: Montgomery 9-2, 9.3,
and 9.5
Stat 344 Lecture 21
1
Hypotheses
Determined by probl
Concepts of Point Estimation
Lecture 16 Reference: Montgomery
Sec 7.3
Stat 344 Lecture 16
1
Parameters and Statistics
Populatio
n
Each variable has a
measure:
Population
parameter
Sample statistic
Sample
Name of
measure
Fixed
number
Random variable
M
Hypothesis and Test Procedures
Lecture 22 Topics
p-values defined and used.
p-values for z and t statistics.
and n determination.
Statistical vs. practical significance
Likelihood ratio principal not studied
Lecture 22 Reference: Devore
Sec 8.4 p-valu
Difference Between Population Means 2
Lecture 24 Topics
Independent samples
Large sample vs. small sample procedures
Manual & Minitab methods
Randomization
Paired data samples
Lecture 24 Reference: Devore
Sec 9.2 t tests and confidence intervals
Sec
Difference Between Population
Means
Lecture 23 Topics
p-values defined and used.
p-values for z and t statistics.
and n determination.
Statistical vs. practical significance
Likelihood ratio principal not studied
Lecture 23 Reference: Devore
Chapter 9
Small Sample Inference for the
Mean
Lecture 18 Topics
t-distribution.
One-sample t confidence interval for the
population mean.
Prediction interval for a single future value.
Tolerance intervals will not be studied.
Intervals based on non-normal pop
STAT 344
Exam 1 - Formula Sheet
Tabitha King
CHAPTER 2
Random Experiments experiment that can result in different outcomes, even if repeated in the same manner
Deterministic system (events happen in the same pattern with no variance)
Probabilistic system
ASSIGNMENT B
1. Suppose that of all individuals buying a certain digital camera,
memory card,
40
include an extra battery, and
30
60
include an optional
include both a card and a battery.
Given that a randomly selected person purchased an extra battery, w
Lecture 20
Large-sample CI for a
Population Proportion
Reference: Montgomery 8.4
BPS - 5th Ed.
Chapter 19
1
Inference about a Population Proportion
(Outline)
The sample proportion,p
Large-sample confidence intervals for a
proportion
Accurate confidence in
Concepts of Point Estimation
Lecture 17 Topics
Basic properties of a confidence interval
Large-sample confidence intervals
Population mean for measurement data
Population proportion for categorical data
Bootstrap confidence intervals
Lecture 17 Refer
Confidence Intervals for the
Variance
Lecture 19 Topics
Chi-squared statistic.
Chi-squared distribution.
Confidence interval for the
Variance.
Standard deviation
Minitab solutions
Estimates based on non-normal
distributions.
Lecture 19 Reference: M
Hypothesis and Test Procedures
Hypothesis tests versus confidence
intervals.
How to write hypothesis statements
Type I and Type II errors & their
probabilities.
General procedure for hypothesis tests.
Concept of the critical statistic & rejection
reg
Hypothesis and Test Procedures
Tests with known
and n determination.
Normal distributions and small samples.
Proportion tests with:
Large samples
Small samples
Reference: Montgomery 9-2, 9.3,
and 9.5
Stat 344 Lecture 21
1
Hypotheses
Determined by probl
Hypothesis and Test Procedures
Lecture 22 Topics
p-values defined and used.
p-values for z and t statistics.
and n determination.
Statistical vs. practical significance
Likelihood ratio principal not studied
Lecture 22 Reference: Devore
Sec 8.4 p-valu
Difference Between Population Means 2
Lecture 24 Topics
Independent samples
Large sample vs. small sample procedures
Manual & Minitab methods
Randomization
Paired data samples
Lecture 24 Reference: Devore
Sec 9.2 t tests and confidence intervals
Sec
Difference Between Proportions & Variances
Lecture 25 Topics
Population proportion inference
Large sample vs. small sample procedures
Manual & Minitab methods
Randomization
Population variance inference
Lecture 25 Reference: Devore
Difference between p
Difference Between Population
Means
Lecture 23 Topics
p-values defined and used.
p-values for z and t statistics.
and n determination.
Statistical vs. practical significance
Likelihood ratio principal not studied
Lecture 23 Reference: Devore
Chapter 9
Confidence Intervals for the
Variance
Lecture 19 Topics
Chi-squared statistic.
Chi-squared distribution.
Confidence interval for the
Variance.
Standard deviation
Minitab solutions
Estimates based on non-normal
distributions.
Lecture 19 Reference: M
MINITAB 10B: Confidence Intervals about the mean when population
standard deviation is not known.
1. Assume we want to estimate the average weight of a particular type of very rare fish. We
know the weights are approximately normally distributed. We can o
To find probabilities and plot the corresponding area under probability distributions we proceed
as follows:
GRAPHS > PROBABILITY DISTRIBUTION PLOT. Choose the distribution. If we only need the
graph of the distribution choose VIEW SINGLE. If we want to s
MINITAB 8B: MINITAB Commands for the Sampling Distribution of the
Sample Mean
The most famous geyser in the world, Old Faithful in Yellowstone Natl Park, has a mean time
between eruptions of 85 minutes and a standard deviation of 21.25 minutes. The distri
MINITAB 4 : Making Multiple Boxplots
1. The data found in MINITAB 4 gives the number of tornadoes in Oklahoma, Kansas, and
Nebraska for the years 1990 to 2004. The following are the commands need to construct
boxplots for all three states on the same scal
MINITAB 7: Discrete Probability Distribution
1.
Suppose you had the following discrete probability distribution:
X
1
P(X=x) 0.3
3
0.1
5
0.2
8
0.4
Put random variable value, x, in column 1,C1, and the probability X=x,P(X=x), in
column 2, C2. The following