Statistics 571: Statistical Methods
Homework Log
Book Report
Project Report
- You are to find a data set for you to analyze. You will submit
a written proposal describing the data set and the analysis that
you plan to do with it. Upon my approval of this proposal you
are to analyze the data and write a report with your analysis.
For more information see Project.
Textbook Exercises
- The homework is given in reverse order of assignment. So
the first assignment is at the bottom.
- Notice that the data for the textbook exercises are in the
diskette that comes with the book
- Please do the homework for a particular chapter section as
soon as we cover this section in class. This is important because
you will be required to turn in all the chapter's homework as
a package soon after we finish covering the chapter in class.
If you wait for us to finish covering a chapter to start on the
homework it will be very tight for you.
Chapter 14
- Section 14.1
- Section 14.2
- Section 14.3
- Section 14.4
- Section 14.5
- Section 14.6
Chapter 13
Chapter 12
- Section 12.1
- Section 12.2
- Problems 12.11 (Use a 95% confidence level instead of a 90%
confidence level) , 12.12
- Section 12.4
Chapter 8
- Section 8.1
- Section 8.3
- Problems 8.10, 8.12, 8.16
- Section 8.4
Chapter 9
- Section 9.1
- Section 9.2
- Section 9.3
- Section 9.4
- Problems 9.26, 9.28, 9.32
Chapter 11
- Section 11.2
- Problems 11.2, 11.3, 11.4
- Section 11.4
- Problems 11.15, 11.17, 11.18, 11.19
- Section 11.5
- Section 11.6
Chapter 10
Use JMP whenever possible to do your calculations and plots
- Section 10.1
- Section 10.2
- Section 10.3
- Problems 10.10, 10.11, 10.12
- Section 10.4
- Problems 10.15, 10.16, 10.20
- Use JMP's help to find out how to calculate the Durbin-Watson
statistic. Perform this calculation on the Tire data of Table
10.1 noting that the data was recorded in time order. Find its
P-value and interprete it. Do we have a problem of autocorrelated
residuals? Explain.
Chapter 7
- Section 7.1
- Section 7.2
- Problems 7.11, 7.12, 7.14
- Section 7.3
- Section 7.4
Chapter 6
- Play with the Confidence
Interval simulation Java applet at the Rice
Virtual Lab in Statistics. Let the sample size be twenty
and hit the Sample button repeatedly to see how sampling
variation leads to some confidence interval containing the true
values of the parameters and other times to not contain the true
value of the parameter.
- Play with the Confidence
Interval Java applet at the University of South Carolina.
- Section 6.1
- Section 6.2
- Section 6.3
- Problems 6.18, 6.19, 6.20, 6.22
- Problem 6.23 (Generat 9 columns with random normal variables
with 100 rows.)
- Problem 6.30
Chapter 5
- Use the Sampling
Distribution simulation Java applet at the Rice
Virtual Lab in Statistics to do the following.
- Draw 10,000 random samples of size N=5 from the normal distribution
provided.
- Construct the histogram of the sampling distribution of the
sample mean.
- Construct the histogram of the sampling distribution of the
sample variance
- Turn in this output.
- Draw 10,000 random samples of size N=20 from the normal distribution
provided.
- Construct the histogram of the sampling distribution of the
sample mean.
- Construct the histogram of the sampling distribution of the
sample variance
- You don't have to turn in this output
- Draw 10,000 random samples of size N=5 from a uniform distribution
on [0,32].
- Construct the histogram of the sampling distribution of the
sample mean.
- Construct the histogram of the sampling distribution of the
sample variance
- You don't have to turn in this output
- Draw 10,000 random samples of size N=20 from a uniform distribution
on [0,32].
- Construct the histogram of the sampling distribution of the
sample mean.
- Construct the histogram of the sampling distribution of the
sample variance
- You don't have to turn in this output
- Draw 10,000 random samples of size N=5 from the skewed distribution
provided.
- Construct the histogram of the sampling distribution of the
sample mean.
- Construct the histogram of the sampling distribution of the
sample variance
- Construct the histogram of the sampling distribution of the
sample median
- You don't have to turn in this output
- Draw 10,000 random samples of size N=20 from the skewed distribution
provided.
- Construct the histogram of the sampling distribution of the
sample mean.
- Construct the histogram of the sampling distribution of the
sample variance
- Construct the histogram of the sampling distribution the
sample median
- You don't have to turn in this output
- Use the Java applet "Normal
Approximation to the Binomial Distribution." at the
at the Rice
Virtual Lab in Statistics to do the following.
- Read the explanatory material.
- Calculate the probability that the outcome of a Binomial
random variable with N=10 and p=.2 is between 3 and 5 (inclusive).
Compare the exact answer with the one you get using the normal
approximation with the continuity correction. Turn in the output.
- Use JMP to generate a random sample of size 1000 from a Chi-Square
distribution with ten degrees of freedom. Create a histogram
of the one thousand random values. Turn this histogram in. Does
the histogram approximate the normal distribution? Explain. (Hint:
follow the JMP tutorial: "Chi
Square Simulation.")
- Do the JMP tutorial: "Tabled
Values of Common Distributions." Calculate the upper
and lower critical values for alpha = .04 of a chi-square distribution
with 10 d.f.. Turn this result in.
- Section 5.1
- Section 5.2
- Problems 5.16, 5.20, 5.22
- Section 5.3
- Problems 5.24, 5.26, 5.27
- Hint for Problem 5.27:
- Section 5.4
- Fun exercise
Chapter 4
(Use JMP to do all problems.)
- Do JMP tutorials in the course
home page. You don't need to turn anything in. This exercise
is on your honor.
- Do all the JMP plots in the Unit 4 slides. Paste them on
a word file and turn them in
- Section 4.1
- Section 4.2
- Section 4.3
- Problems 4.10, 4.12, 4.22, 4.24
- Section 4.4
- Fun exercise
Chapter 3
- Read this chapter with extreme care
- Section 3.1
- Section 3.2
- Section 3.3
- Section 3.4
- Problems 3.20, 3.22, 3.24
Chapter 2
- Read this chapter emphasizing material included in the Unit
2 notes. Try to understand as much as possible according to your
background.
- Section 2.1
- Problem 2.13 (hint: draw a Venn diagram)
- Section 2.2
- Problem 2.22
- Problem 2.27 (hint: construct a table)
- Section 2.3
- Problem 2.29
- Problem 2.34
- Section 2.4
- Section 2.7
- Section 2.8
- Problem 2.71
- Problem 2.73
- Section 2.9
- Problem 2.78
- Problem 2.80
- Problem 2.83
- Generate 25 standard normal random variables. Turn in the
JMP data table with the 25 numbers. Follow the instructions on
"Generating Standard
Normal Random Numbers"
- Bonus point problems
- Problem 2.6, 2.15, 2.30, 2.52, 2.58
- Fun exercise
- Play the game Let's
Make a Deal. Do you win more times when you switch doors?
Read the explanation at this web site for the results you get.
You can also read Example 2.14 (Monty Hall Problem) on Page 20
of your textbook to find out the reason.
- Check your homework normal probability calculations using
the Java applet "Probabilities
for the Normal Distribution"
Chapter 1